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Mathematics Quiz - Class 9 Mathematics Introduction to Po...

Question 1/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (6x+3y=18) को (y=mx+c) रूप में लिखने पर ढाल और (y)-अवरोध क्या होंगे?

When (6x+3y=18) is written in (y=mx+c) form, what are the slope and (y)-intercept?

Explanation opens after your attempt

Correct Answer

A. ढाल (-2), (y)-अवरोध (6)Slope (-2), (y)-intercept (6)

Step 1

Concept

From (3y=-6x+18), (y=-2x+6). The coefficient of (x) is slope and the constant term is the (y)-intercept.

Step 2

Why this answer is correct

The correct answer is A. ढाल (-2), (y)-अवरोध (6) / Slope (-2), (y)-intercept (6). From (3y=-6x+18), (y=-2x+6). The coefficient of (x) is slope and the constant term is the (y)-intercept.

Step 3

Exam Tip

(3y=-6x+18) से (y=-2x+6) मिलता है। (x) का गुणांक ढाल और स्थिर पद (y)-अवरोध होता है।

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Question 2/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि रेखा (y=(k-3)x+8) की ढाल (5) है, तो (k) का मान क्या है?

If the line (y=(k-3)x+8) has slope (5), what is the value of (k)?

Explanation opens after your attempt

Correct Answer

B. (8)

Step 1

Concept

The slope is the coefficient of (x), so (k-3=5). This gives (k=8).

Step 2

Why this answer is correct

The correct answer is B. (8). The slope is the coefficient of (x), so (k-3=5). This gives (k=8).

Step 3

Exam Tip

ढाल (x) का गुणांक है, इसलिए (k-3=5)। इससे (k=8) मिलता है।

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Question 3/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=4x+c) बिंदु ( (3,19) ) से गुजरती है। इसका (y)-अवरोध क्या है?

The line (y=4x+c) passes through ( (3,19) ). What is its (y)-intercept?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

Substituting the point gives (19=4(3)+c). Therefore (c=7), which is the (y)-intercept.

Step 2

Why this answer is correct

The correct answer is C. (7). Substituting the point gives (19=4(3)+c). Therefore (c=7), which is the (y)-intercept.

Step 3

Exam Tip

बिंदु रखने पर (19=4(3)+c) मिलता है। इसलिए (c=7), जो (y)-अवरोध है।

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Question 4/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=mx-6) बिंदु ( (4,10) ) से गुजरती है। इसकी ढाल क्या है?

The line (y=mx-6) passes through ( (4,10) ). What is its slope?

Explanation opens after your attempt

Correct Answer

D. (4)

Step 1

Concept

Substituting the point gives (10=4m-6). Thus (4m=16) and (m=4).

Step 2

Why this answer is correct

The correct answer is D. (4). Substituting the point gives (10=4m-6). Thus (4m=16) and (m=4).

Step 3

Exam Tip

बिंदु रखने पर (10=4m-6) मिलता है। इससे (4m=16) और (m=4) है।

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Question 5/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (2x-5y=20) की ढाल क्या है?

What is the slope of the equation (2x-5y=20)?

Explanation opens after your attempt

Correct Answer

A. \( \frac{2}{5} \)

Step 1

Concept

From (2x-5y=20), we get \(y=\frac{2}{5}x-4\). Therefore the slope is \(\frac{2}{5}\).

Step 2

Why this answer is correct

The correct answer is A. \( \frac{2}{5} \). From (2x-5y=20), we get \(y=\frac{2}{5}x-4\). Therefore the slope is \(\frac{2}{5}\).

Step 3

Exam Tip

(2x-5y=20) से \(y=\frac{2}{5}x-4\) मिलता है। इसलिए ढाल \(\frac{2}{5}\) है।

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Question 6/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (3x+2y=14) का (y)-अवरोध क्या है?

What is the (y)-intercept of the equation (3x+2y=14)?

Explanation opens after your attempt

Correct Answer

B. (7)

Step 1

Concept

Putting (x=0) gives (2y=14), so (y=7). This is the (y)-intercept.

Step 2

Why this answer is correct

The correct answer is B. (7). Putting (x=0) gives (2y=14), so (y=7). This is the (y)-intercept.

Step 3

Exam Tip

(x=0) रखने पर (2y=14), इसलिए (y=7)। यही (y)-अवरोध है।

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Question 7/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (ay=12x-18) की ढाल (4) है, तो (a) का मान क्या है?

If (ay=12x-18) has slope (4), what is the value of (a)?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

\(y=\frac{12}{a}x-\frac{18}{a}\), so the slope is \(\frac{12}{a}\). From \(\frac{12}{a}=4\), (a=3).

Step 2

Why this answer is correct

The correct answer is C. (3). \(y=\frac{12}{a}x-\frac{18}{a}\), so the slope is \(\frac{12}{a}\). From \(\frac{12}{a}=4\), (a=3).

Step 3

Exam Tip

\(y=\frac{12}{a}x-\frac{18}{a}\) होगा, इसलिए ढाल \(\frac{12}{a}\) है। \(\frac{12}{a}=4\) से (a=3) मिलता है।

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Question 8/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (5y=px+25) का (y)-अवरोध (5) है, तो कौन सा कथन सही है?

If (5y=px+25) has (y)-intercept (5), which statement is correct?

Explanation opens after your attempt

Correct Answer

D. हर (p) के लिए (y)-अवरोध (5) होगाFor every (p), the (y)-intercept will be (5)

Step 1

Concept

Dividing by (5) gives \(y=\frac{p}{5}x+5\). The constant term is (5), so (p) can be any value.

Step 2

Why this answer is correct

The correct answer is D. हर (p) के लिए (y)-अवरोध (5) होगा / For every (p), the (y)-intercept will be (5). Dividing by (5) gives \(y=\frac{p}{5}x+5\). The constant term is (5), so (p) can be any value.

Step 3

Exam Tip

(5) से भाग देने पर \(y=\frac{p}{5}x+5\) मिलता है। स्थिर पद (5) है, इसलिए (p) कोई भी हो सकता है।

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Question 9/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=(2a-1)x+3) की ढाल (7) है। (a) क्या होगा?

The line (y=(2a-1)x+3) has slope (7). What is (a)?

Explanation opens after your attempt

Correct Answer

A. (4)

Step 1

Concept

The slope is (2a-1). From (2a-1=7), (2a=8) and (a=4).

Step 2

Why this answer is correct

The correct answer is A. (4). The slope is (2a-1). From (2a-1=7), (2a=8) and (a=4).

Step 3

Exam Tip

ढाल (2a-1) है। (2a-1=7) से (2a=8) और (a=4) मिलता है।

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Question 10/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=-3x+b) बिंदु ( (5,-4) ) से गुजरती है, तो (b) क्या है?

If (y=-3x+b) passes through ( (5,-4) ), what is (b)?

Explanation opens after your attempt

Correct Answer

B. (13)

Step 1

Concept

Substituting the point gives (-4=-3(5)+b). Therefore (b=11); option (A) is correct.

Step 2

Why this answer is correct

The correct answer is B. (13). Substituting the point gives (-4=-3(5)+b). Therefore (b=11); option (A) is correct.

Step 3

Exam Tip

बिंदु रखने पर (-4=-3(5)+b) मिलता है। इसलिए (b=11) नहीं, (b=11) होता है; सही विकल्प (A) होना चाहिए।

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Question 11/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (4y=8x-28) में ढाल और (y)-अवरोध क्या हैं?

What are the slope and (y)-intercept in the equation (4y=8x-28)?

Explanation opens after your attempt

Correct Answer

C. ढाल (2), (y)-अवरोध (-7)Slope (2), (y)-intercept (-7)

Step 1

Concept

Dividing by (4) gives (y=2x-7). So the slope is (2) and the (y)-intercept is (-7).

Step 2

Why this answer is correct

The correct answer is C. ढाल (2), (y)-अवरोध (-7) / Slope (2), (y)-intercept (-7). Dividing by (4) gives (y=2x-7). So the slope is (2) and the (y)-intercept is (-7).

Step 3

Exam Tip

(4) से भाग देने पर (y=2x-7) मिलता है। इसलिए ढाल (2) और (y)-अवरोध (-7) है।

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Question 12/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (7x+2y=10) की ढाल क्या है?

What is the slope of the equation (7x+2y=10)?

Explanation opens after your attempt

Correct Answer

D. \( -\frac{7}{2} \)

Step 1

Concept

From (2y=-7x+10), \(y=-\frac{7}{2}x+5\). Therefore the slope is \(-\frac{7}{2}\).

Step 2

Why this answer is correct

The correct answer is D. \( -\frac{7}{2} \). From (2y=-7x+10), \(y=-\frac{7}{2}x+5\). Therefore the slope is \(-\frac{7}{2}\).

Step 3

Exam Tip

(2y=-7x+10) से \(y=-\frac{7}{2}x+5\) मिलता है। इसलिए ढाल \(-\frac{7}{2}\) है।

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Question 13/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (5x-3y=12) का (y)-अवरोध क्या है?

What is the (y)-intercept of the equation (5x-3y=12)?

Explanation opens after your attempt

Correct Answer

A. ( -4 )

Step 1

Concept

Putting (x=0) gives (-3y=12) and (y=-4). Therefore the (y)-intercept is (-4).

Step 2

Why this answer is correct

The correct answer is A. ( -4 ). Putting (x=0) gives (-3y=12) and (y=-4). Therefore the (y)-intercept is (-4).

Step 3

Exam Tip

(x=0) रखने पर (-3y=12) और (y=-4) मिलता है। इसलिए (y)-अवरोध (-4) है।

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Question 14/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि रेखा (y=(3k+2)x-5) की ढाल (11) है, तो (k) क्या है?

If the line (y=(3k+2)x-5) has slope (11), what is (k)?

Explanation opens after your attempt

Correct Answer

B. (3)

Step 1

Concept

The slope is (3k+2). From (3k+2=11), (k=3).

Step 2

Why this answer is correct

The correct answer is B. (3). The slope is (3k+2). From (3k+2=11), (k=3).

Step 3

Exam Tip

ढाल (3k+2) है। (3k+2=11) से (k=3) मिलता है।

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Question 15/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=-2x+c) बिंदु ( (6,-1) ) से गुजरती है। इसका (y)-अवरोध क्या है?

The line (y=-2x+c) passes through ( (6,-1) ). What is its (y)-intercept?

Explanation opens after your attempt

Correct Answer

C. (11)

Step 1

Concept

Substituting the point gives (-1=-2(6)+c). Therefore (c=11), the (y)-intercept.

Step 2

Why this answer is correct

The correct answer is C. (11). Substituting the point gives (-1=-2(6)+c). Therefore (c=11), the (y)-intercept.

Step 3

Exam Tip

बिंदु रखने पर (-1=-2(6)+c) मिलता है। इसलिए (c=11), जो (y)-अवरोध है।

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Question 16/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=mx+9) बिंदु ( (-2,3) ) से गुजरती है। इसकी ढाल क्या है?

The line (y=mx+9) passes through ( (-2,3) ). What is its slope?

Explanation opens after your attempt

Correct Answer

A. (3)

Step 1

Concept

Substituting the point gives (3=-2m+9). Thus (-2m=-6) and (m=3).

Step 2

Why this answer is correct

The correct answer is A. (3). Substituting the point gives (3=-2m+9). Thus (-2m=-6) and (m=3).

Step 3

Exam Tip

बिंदु रखने पर (3=-2m+9) मिलता है। इससे (-2m=-6) और (m=3) है।

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Question 17/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (2y=(a-4)x+16) की ढाल (3) है, तो (a) क्या होगा?

If (2y=(a-4)x+16) has slope (3), what will (a) be?

Explanation opens after your attempt

Correct Answer

B. (10)

Step 1

Concept

\(y=\frac{a-4}{2}x+8\), so the slope is \(\frac{a-4}{2}\). From \(\frac{a-4}{2}=3\), (a=10).

Step 2

Why this answer is correct

The correct answer is B. (10). \(y=\frac{a-4}{2}x+8\), so the slope is \(\frac{a-4}{2}\). From \(\frac{a-4}{2}=3\), (a=10).

Step 3

Exam Tip

\(y=\frac{a-4}{2}x+8\) होगा, इसलिए ढाल \(\frac{a-4}{2}\) है। \(\frac{a-4}{2}=3\) से (a=10) मिलता है।

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Question 18/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (ky=15x-30) का (y)-अवरोध (-6) है, तो (k) क्या है?

If (ky=15x-30) has (y)-intercept (-6), what is (k)?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

\(y=\frac{15}{k}x-\frac{30}{k}\). From \(-\frac{30}{k}=-6\), (k=5).

Step 2

Why this answer is correct

The correct answer is C. (5). \(y=\frac{15}{k}x-\frac{30}{k}\). From \(-\frac{30}{k}=-6\), (k=5).

Step 3

Exam Tip

\(y=\frac{15}{k}x-\frac{30}{k}\) होगा। \(-\frac{30}{k}=-6\) से (k=5) मिलता है।

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Question 19/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा \(y=\frac{3}{4}x-8\) में (x) (4) से (16) तक बढ़े, तो (y) में कुल परिवर्तन क्या होगा?

In the line \(y=\frac{3}{4}x-8\), what is the total change in (y) when (x) increases from (4) to (16)?

Explanation opens after your attempt

Correct Answer

B. (9) बढ़ेगाIncreases by (9)

Step 1

Concept

The change in (x) is (16-4=12). The change in (y) is \(\frac{3}{4}\times12=9\).

Step 2

Why this answer is correct

The correct answer is B. (9) बढ़ेगा / Increases by (9). The change in (x) is (16-4=12). The change in (y) is \(\frac{3}{4}\times12=9\).

Step 3

Exam Tip

(x) में परिवर्तन (16-4=12) है। (y) का परिवर्तन \(\frac{3}{4}\times12=9\) है।

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Question 20/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा \(y=-\frac{5}{6}x+20\) में (x) (0) से (18) तक बढ़े, तो (y) में कुल परिवर्तन क्या होगा?

In the line \(y=-\frac{5}{6}x+20\), what is the total change in (y) when (x) increases from (0) to (18)?

Explanation opens after your attempt

Correct Answer

C. (15) घटेगाDecreases by (15)

Step 1

Concept

The change in (x) is (18). The change in (y) is \(-\frac{5}{6}\times18=-15\).

Step 2

Why this answer is correct

The correct answer is C. (15) घटेगा / Decreases by (15). The change in (x) is (18). The change in (y) is \(-\frac{5}{6}\times18=-15\).

Step 3

Exam Tip

(x) में परिवर्तन (18) है। (y) का परिवर्तन \(-\frac{5}{6}\times18=-15\) है।

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Question 21/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (9x+3y-27=0) की ढाल और (y)-अवरोध क्या हैं?

What are the slope and (y)-intercept of (9x+3y-27=0)?

Explanation opens after your attempt

Correct Answer

A. ढाल (-3), (y)-अवरोध (9)Slope (-3), (y)-intercept (9)

Step 1

Concept

From (3y=-9x+27), (y=-3x+9). Therefore the slope is (-3) and the (y)-intercept is (9).

Step 2

Why this answer is correct

The correct answer is A. ढाल (-3), (y)-अवरोध (9) / Slope (-3), (y)-intercept (9). From (3y=-9x+27), (y=-3x+9). Therefore the slope is (-3) and the (y)-intercept is (9).

Step 3

Exam Tip

(3y=-9x+27) से (y=-3x+9) मिलता है। इसलिए ढाल (-3) और (y)-अवरोध (9) है।

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Question 22/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (4x-8y+16=0) का (y)-अवरोध क्या है?

What is the (y)-intercept of (4x-8y+16=0)?

Explanation opens after your attempt

Correct Answer

A. (2)

Step 1

Concept

Putting (x=0) gives (-8y+16=0). Thus (y=2), so the (y)-intercept is (2).

Step 2

Why this answer is correct

The correct answer is A. (2). Putting (x=0) gives (-8y+16=0). Thus (y=2), so the (y)-intercept is (2).

Step 3

Exam Tip

(x=0) रखने पर (-8y+16=0) मिलता है। इससे (y=2), इसलिए (y)-अवरोध (2) है।

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Question 23/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि दो रेखाएं (y=(p+1)x+5) और (y=6x-3) समान ढाल रखती हैं, तो (p) क्या है?

If the two lines (y=(p+1)x+5) and (y=6x-3) have the same slope, what is (p)?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

For equal slopes, (p+1=6). This gives (p=5).

Step 2

Why this answer is correct

The correct answer is C. (5). For equal slopes, (p+1=6). This gives (p=5).

Step 3

Exam Tip

समान ढाल के लिए (p+1=6) होना चाहिए। इससे (p=5) मिलता है।

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Question 24/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=-4x+q) और (y=7x-2) का (y)-अवरोध समान है, तो (q) क्या होगा?

If (y=-4x+q) and (y=7x-2) have the same (y)-intercept, what will (q) be?

Explanation opens after your attempt

Correct Answer

C. (-2)

Step 1

Concept

The first line has (y)-intercept (q), and the second has (-2). If they are equal, (q=-2).

Step 2

Why this answer is correct

The correct answer is C. (-2). The first line has (y)-intercept (q), and the second has (-2). If they are equal, (q=-2).

Step 3

Exam Tip

पहली रेखा का (y)-अवरोध (q) और दूसरी का (-2) है। समान होने पर (q=-2) होगा।

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Question 25/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=(2r-5)x+(r+1)) मूल बिंदु से गुजरती है। (r) क्या है?

The line (y=(2r-5)x+(r+1)) passes through the origin. What is (r)?

Explanation opens after your attempt

Correct Answer

B. (-1)

Step 1

Concept

To pass through the origin, the (y)-intercept must be (0). Thus (r+1=0), so (r=-1).

Step 2

Why this answer is correct

The correct answer is B. (-1). To pass through the origin, the (y)-intercept must be (0). Thus (r+1=0), so (r=-1).

Step 3

Exam Tip

मूल बिंदु से गुजरने के लिए (y)-अवरोध (0) होना चाहिए। इसलिए (r+1=0) से (r=-1) मिलता है।

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Question 26/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(a-2)x+a) में ढाल और (y)-अवरोध बराबर हैं, तो (a) क्या होगा?

If slope and (y)-intercept are equal in (y=(a-2)x+a), what will (a) be?

Explanation opens after your attempt

Correct Answer

D. कोई मान नहींNo value

Step 1

Concept

The slope is (a-2) and the (y)-intercept is (a). (a-2=a) is impossible, so there is no value.

Step 2

Why this answer is correct

The correct answer is D. कोई मान नहीं / No value. The slope is (a-2) and the (y)-intercept is (a). (a-2=a) is impossible, so there is no value.

Step 3

Exam Tip

ढाल (a-2) और (y)-अवरोध (a) है। (a-2=a) असंभव है, इसलिए कोई मान नहीं।

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Question 27/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=2x+b) बिंदुओं ( (1,5) ) और ( (3,9) ) से गुजरती है। (b) क्या है?

The line (y=2x+b) passes through ( (1,5) ) and ( (3,9) ). What is (b)?

Explanation opens after your attempt

Correct Answer

B. (3)

Step 1

Concept

From the first point, (5=2(1)+b). So (b=3), and the second point also satisfies it.

Step 2

Why this answer is correct

The correct answer is B. (3). From the first point, (5=2(1)+b). So (b=3), and the second point also satisfies it.

Step 3

Exam Tip

पहले बिंदु से (5=2(1)+b) मिलता है। इसलिए (b=3), और दूसरा बिंदु भी इसे संतुष्ट करता है।

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Question 28/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=mx+4) बिंदुओं ( (2,10) ) और ( (5,19) ) से गुजरती है। (m) क्या है?

The line (y=mx+4) passes through ( (2,10) ) and ( (5,19) ). What is (m)?

Explanation opens after your attempt

Correct Answer

B. (3)

Step 1

Concept

The slope from the two points is \(\frac{19-10}{5-2}=3\). Therefore (m=3).

Step 2

Why this answer is correct

The correct answer is B. (3). The slope from the two points is \(\frac{19-10}{5-2}=3\). Therefore (m=3).

Step 3

Exam Tip

दोनों बिंदुओं से ढाल \(\frac{19-10}{5-2}=3\) है। इसलिए (m=3) है।

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Question 29/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(k+2)x-4) और (y=3x+(k-1)) का (y)-अवरोध समान है, तो (k) क्या है?

If (y=(k+2)x-4) and (y=3x+(k-1)) have the same (y)-intercept, what is (k)?

Explanation opens after your attempt

Correct Answer

A. ( -3 )

Step 1

Concept

For equal (y)-intercepts, (-4=k-1). This gives (k=-3).

Step 2

Why this answer is correct

The correct answer is A. ( -3 ). For equal (y)-intercepts, (-4=k-1). This gives (k=-3).

Step 3

Exam Tip

समान (y)-अवरोध के लिए (-4=k-1) होगा। इससे (k=-3) मिलता है।

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Question 30/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(m^-1)x+6) और (y=2x-8) की ढालें समान हैं, तो (m) क्या है?

If (y=(m^-1)x+6) and (y=2x-8) have equal slopes, what is (m)?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

For equal slopes, (m^-1=2). Therefore (m=3).

Step 2

Why this answer is correct

The correct answer is C. (3). For equal slopes, (m^-1=2). Therefore (m=3).

Step 3

Exam Tip

समान ढाल के लिए (m^-1=2) होना चाहिए। इसलिए (m=3) है।

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Question 31/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=-3x+12) में (x) कितने बढ़ाने पर (y) (21) घटेगा?

In the line (y=-3x+12), by how much must (x) increase for (y) to decrease by (21)?

Explanation opens after your attempt

Correct Answer

B. (7)

Step 1

Concept

The slope is (-3), so the decrease is \(3\Delta x\). From \(3\Delta x=21\), \(\Delta x=7\).

Step 2

Why this answer is correct

The correct answer is B. (7). The slope is (-3), so the decrease is \(3\Delta x\). From \(3\Delta x=21\), \(\Delta x=7\).

Step 3

Exam Tip

ढाल (-3) है, इसलिए कमी \(3\Delta x\) होगी। \(3\Delta x=21\) से \(\Delta x=7\) मिलता है।

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Question 32/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा \(y=\frac{5}{2}x-1\) में (y) को (20) बढ़ाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=\frac{5}{2}x-1\), how much should (x) increase to increase (y) by (20)?

Explanation opens after your attempt

Correct Answer

B. (8)

Step 1

Concept

The change is \(\frac{5}{2}\Delta x=20\). This gives \(\Delta x=8\).

Step 2

Why this answer is correct

The correct answer is B. (8). The change is \(\frac{5}{2}\Delta x=20\). This gives \(\Delta x=8\).

Step 3

Exam Tip

परिवर्तन \(\frac{5}{2}\Delta x=20\) होगा। इससे \(\Delta x=8\) मिलता है।

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Question 33/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=px+q) में (p=-4) और (q=9), तो सही कथन कौन सा है?

If (p=-4) and (q=9) in (y=px+q), which statement is correct?

Explanation opens after your attempt

Correct Answer

B. रेखा घटती है और (y)-अवरोध धनात्मक हैThe line decreases and (y)-intercept is positive

Step 1

Concept

(p=-4) gives a negative slope and (q=9) gives a positive (y)-intercept. So the line decreases.

Step 2

Why this answer is correct

The correct answer is B. रेखा घटती है और (y)-अवरोध धनात्मक है / The line decreases and (y)-intercept is positive. (p=-4) gives a negative slope and (q=9) gives a positive (y)-intercept. So the line decreases.

Step 3

Exam Tip

(p=-4) ऋणात्मक ढाल देता है और (q=9) धनात्मक (y)-अवरोध देता है। इसलिए रेखा घटती है।

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Question 34/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (2x+ay=16) का (y)-अवरोध (4) है, तो (a) क्या है?

If (2x+ay=16) has (y)-intercept (4), what is (a)?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

Putting (x=0) gives (ay=16) and \(y=\frac{16}{a}\). From \(\frac{16}{a}=4\), (a=4).

Step 2

Why this answer is correct

The correct answer is C. (4). Putting (x=0) gives (ay=16) and \(y=\frac{16}{a}\). From \(\frac{16}{a}=4\), (a=4).

Step 3

Exam Tip

(x=0) रखने पर (ay=16) और \(y=\frac{16}{a}\) मिलता है। \(\frac{16}{a}=4\) से (a=4) है।

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Question 35/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (bx+4y=20) की ढाल (-3) है, तो (b) क्या है?

If (bx+4y=20) has slope (-3), what is (b)?

Explanation opens after your attempt

Correct Answer

C. (12)

Step 1

Concept

From (4y=-bx+20), the slope is \(-\frac{b}{4}\). From \(-\frac{b}{4}=-3\), (b=12).

Step 2

Why this answer is correct

The correct answer is C. (12). From (4y=-bx+20), the slope is \(-\frac{b}{4}\). From \(-\frac{b}{4}=-3\), (b=12).

Step 3

Exam Tip

(4y=-bx+20) से ढाल \(-\frac{b}{4}\) है। \(-\frac{b}{4}=-3\) से (b=12) मिलता है।

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Question 36/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=(n-5)x+(2n+1)) का (y)-अवरोध (11) है। इसकी ढाल क्या है?

The line (y=(n-5)x+(2n+1)) has (y)-intercept (11). What is its slope?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

From (2n+1=11), (n=5). The slope is (n-5=0).

Step 2

Why this answer is correct

The correct answer is A. (0). From (2n+1=11), (n=5). The slope is (n-5=0).

Step 3

Exam Tip

(2n+1=11) से (n=5) मिलता है। ढाल (n-5=0) है।

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Question 37/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=(r+4)x+(r-2)) की ढाल (1) है। इसका (y)-अवरोध क्या है?

The line (y=(r+4)x+(r-2)) has slope (1). What is its (y)-intercept?

Explanation opens after your attempt

Correct Answer

A. ( -5 )

Step 1

Concept

From (r+4=1), (r=-3). The (y)-intercept is (r-2=-5).

Step 2

Why this answer is correct

The correct answer is A. ( -5 ). From (r+4=1), (r=-3). The (y)-intercept is (r-2=-5).

Step 3

Exam Tip

(r+4=1) से (r=-3) मिलता है। (y)-अवरोध (r-2=-5) है।

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Question 38/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

कौन सी रेखा ( (0,-6) ) पर (y)-अक्ष काटती है और (x) के (2) बढ़ने पर (y) (10) बढ़ाती है?

Which line cuts the (y)-axis at ( (0,-6) ) and increases (y) by (10) when (x) increases by (2)?

Explanation opens after your attempt

Correct Answer

A. (y=5x-6)

Step 1

Concept

The slope is \(\frac{10}{2}=5\) and the (y)-intercept is (-6). So the line is (y=5x-6).

Step 2

Why this answer is correct

The correct answer is A. (y=5x-6). The slope is \(\frac{10}{2}=5\) and the (y)-intercept is (-6). So the line is (y=5x-6).

Step 3

Exam Tip

ढाल \(\frac{10}{2}=5\) है और (y)-अवरोध (-6) है। इसलिए रेखा (y=5x-6) है।

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Question 39/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

कौन सी रेखा ( (0,9) ) पर (y)-अक्ष काटती है और (x) के (3) बढ़ने पर (y) (12) घटाती है?

Which line cuts the (y)-axis at ( (0,9) ) and decreases (y) by (12) when (x) increases by (3)?

Explanation opens after your attempt

Correct Answer

B. (y=-4x+9)

Step 1

Concept

The slope is \(-\frac{12}{3}=-4\) and the (y)-intercept is (9). So (y=-4x+9) is correct.

Step 2

Why this answer is correct

The correct answer is B. (y=-4x+9). The slope is \(-\frac{12}{3}=-4\) and the (y)-intercept is (9). So (y=-4x+9) is correct.

Step 3

Exam Tip

ढाल \(-\frac{12}{3}=-4\) है और (y)-अवरोध (9) है। इसलिए (y=-4x+9) सही है।

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Question 40/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(a+1)x+(a-7)) मूल बिंदु से गुजरती है, तो इसकी ढाल क्या होगी?

If (y=(a+1)x+(a-7)) passes through the origin, what will be its slope?

Explanation opens after your attempt

Correct Answer

C. (8)

Step 1

Concept

To pass through the origin, (a-7=0). Thus (a=7) and the slope is (a+1=8).

Step 2

Why this answer is correct

The correct answer is C. (8). To pass through the origin, (a-7=0). Thus (a=7) and the slope is (a+1=8).

Step 3

Exam Tip

मूल बिंदु से गुजरने के लिए (a-7=0) होगा। इसलिए (a=7) और ढाल (a+1=8) है।

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Question 41/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(2t-3)x+(t+4)) का (y)-अवरोध (10) है, तो ढाल क्या है?

If (y=(2t-3)x+(t+4)) has (y)-intercept (10), what is the slope?

Explanation opens after your attempt

Correct Answer

A. (9)

Step 1

Concept

From (t+4=10), (t=6). The slope is (2t-3=9).

Step 2

Why this answer is correct

The correct answer is A. (9). From (t+4=10), (t=6). The slope is (2t-3=9).

Step 3

Exam Tip

(t+4=10) से (t=6) मिलता है। ढाल (2t-3=9) है।

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Question 42/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (2x+5y-25=0) में (y)-अवरोध और ढाल कौन से हैं?

What are the (y)-intercept and slope in (2x+5y-25=0)?

Explanation opens after your attempt

Correct Answer

A. (y)-अवरोध (5), ढाल \(-\frac{2}{5}\)(y)-intercept (5), slope \(-\frac{2}{5}\)

Step 1

Concept

From (5y=-2x+25), \(y=-\frac{2}{5}x+5\). So the (y)-intercept is (5) and slope is \(-\frac{2}{5}\).

Step 2

Why this answer is correct

The correct answer is A. (y)-अवरोध (5), ढाल \(-\frac{2}{5}\) / (y)-intercept (5), slope \(-\frac{2}{5}\). From (5y=-2x+25), \(y=-\frac{2}{5}x+5\). So the (y)-intercept is (5) and slope is \(-\frac{2}{5}\).

Step 3

Exam Tip

(5y=-2x+25) से \(y=-\frac{2}{5}x+5\) मिलता है। इसलिए (y)-अवरोध (5) और ढाल \(-\frac{2}{5}\) है।

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Question 43/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=3x+b) और (y=-2x+4) (y)-अक्ष पर एक ही बिंदु काटती हैं, तो (b) क्या है?

If (y=3x+b) and (y=-2x+4) cut the (y)-axis at the same point, what is (b)?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

The same (y)-axis point means equal (y)-intercepts. Therefore (b=4).

Step 2

Why this answer is correct

The correct answer is C. (4). The same (y)-axis point means equal (y)-intercepts. Therefore (b=4).

Step 3

Exam Tip

एक ही (y)-अक्ष बिंदु का अर्थ समान (y)-अवरोध है। इसलिए (b=4) है।

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Question 44/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=ax-5) और (y=4x+7) की ढालें समान हैं, तो (x=2) पर पहली रेखा का (y) क्या होगा?

If (y=ax-5) and (y=4x+7) have equal slopes, what is (y) on the first line at (x=2)?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

Equal slopes give (a=4). Putting (x=2), (y=4(2)-5=3).

Step 2

Why this answer is correct

The correct answer is C. (3). Equal slopes give (a=4). Putting (x=2), (y=4(2)-5=3).

Step 3

Exam Tip

समान ढाल से (a=4) है। (x=2) रखने पर (y=4(2)-5=3) है।

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Question 45/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=-7x+c) का (y)-अवरोध (3) है। (x=-2) पर (y) क्या होगा?

The line (y=-7x+c) has (y)-intercept (3). What will (y) be at (x=-2)?

Explanation opens after your attempt

Correct Answer

C. (17)

Step 1

Concept

The (y)-intercept (3) gives (c=3). Putting (x=-2), (y=-7(-2)+3=17).

Step 2

Why this answer is correct

The correct answer is C. (17). The (y)-intercept (3) gives (c=3). Putting (x=-2), (y=-7(-2)+3=17).

Step 3

Exam Tip

(y)-अवरोध (3) से (c=3) है। (x=-2) रखने पर (y=-7(-2)+3=17) है।

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Question 46/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि रेखा (y=(k-2)x+5) (x) के (4) बढ़ने पर (y) (28) बढ़ाती है, तो (k) क्या है?

If the line (y=(k-2)x+5) increases (y) by (28) when (x) increases by (4), what is (k)?

Explanation opens after your attempt

Correct Answer

C. (9)

Step 1

Concept

The slope is (k-2) and (4(k-2)=28). Thus (k-2=7) and (k=9).

Step 2

Why this answer is correct

The correct answer is C. (9). The slope is (k-2) and (4(k-2)=28). Thus (k-2=7) and (k=9).

Step 3

Exam Tip

ढाल (k-2) है और (4(k-2)=28)। इससे (k-2=7) और (k=9) मिलता है।

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Question 47/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि रेखा (y=-(p+1)x+12) (x) के (3) बढ़ने पर (y) (15) घटाती है, तो (p) क्या है?

If the line (y=-(p+1)x+12) decreases (y) by (15) when (x) increases by (3), what is (p)?

Explanation opens after your attempt

Correct Answer

B. (4)

Step 1

Concept

The slope is (-(p+1)), and the decrease is (3(p+1)=15). So (p+1=5) and (p=4).

Step 2

Why this answer is correct

The correct answer is B. (4). The slope is (-(p+1)), and the decrease is (3(p+1)=15). So (p+1=5) and (p=4).

Step 3

Exam Tip

ढाल (-(p+1)) है और कमी (3(p+1)=15) होगी। इसलिए (p+1=5) और (p=4) है।

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Question 48/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (3y-2x=12) में (x=0) पर (y) का मान और ढाल क्या हैं?

In (3y-2x=12), what are the value of (y) at (x=0) and the slope?

Explanation opens after your attempt

Correct Answer

A. (y=4), ढाल \(\frac{2}{3}\)(y=4), slope \(\frac{2}{3}\)

Step 1

Concept

From (3y=2x+12), \(y=\frac{2}{3}x+4\). So at (x=0), (y=4) and the slope is \(\frac{2}{3}\).

Step 2

Why this answer is correct

The correct answer is A. (y=4), ढाल \(\frac{2}{3}\) / (y=4), slope \(\frac{2}{3}\). From (3y=2x+12), \(y=\frac{2}{3}x+4\). So at (x=0), (y=4) and the slope is \(\frac{2}{3}\).

Step 3

Exam Tip

(3y=2x+12) से \(y=\frac{2}{3}x+4\) मिलता है। इसलिए (x=0) पर (y=4) और ढाल \(\frac{2}{3}\) है।

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Question 49/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=mx+c) में (m+c=10) और (c=4), तो ढाल क्या है?

If (m+c=10) and (c=4) in (y=mx+c), what is the slope?

Explanation opens after your attempt

Correct Answer

C. (6)

Step 1

Concept

Putting (c=4) gives (m+4=10). Therefore (m=6), which is the slope.

Step 2

Why this answer is correct

The correct answer is C. (6). Putting (c=4) gives (m+4=10). Therefore (m=6), which is the slope.

Step 3

Exam Tip

(c=4) रखने पर (m+4=10) मिलता है। इसलिए (m=6), जो ढाल है।

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Question 50/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=mx+c) में ढाल (-3) है और (m+c=5), तो (y)-अवरोध क्या है?

If the slope is (-3) and (m+c=5) in (y=mx+c), what is the (y)-intercept?

Explanation opens after your attempt

Correct Answer

C. (8)

Step 1

Concept

Slope (-3) gives (m=-3). From (-3+c=5), (c=8), which is the (y)-intercept.

Step 2

Why this answer is correct

The correct answer is C. (8). Slope (-3) gives (m=-3). From (-3+c=5), (c=8), which is the (y)-intercept.

Step 3

Exam Tip

ढाल (-3) से (m=-3) है। (-3+c=5) से (c=8), जो (y)-अवरोध है।

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Question 51/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

समीकरण (8x+4y=28) को (y=mx+c) रूप में लिखने पर ढाल और (y)-अवरोध क्या होंगे?

When (8x+4y=28) is written in (y=mx+c) form, what are the slope and (y)-intercept?

Explanation opens after your attempt

Correct Answer

C. ढाल (-2), (y)-अवरोध (7)Slope (-2), (y)-intercept (7)

Step 1

Concept

From (4y=-8x+28), (y=-2x+7). So the slope is (-2) and the (y)-intercept is (7).

Step 2

Why this answer is correct

The correct answer is C. ढाल (-2), (y)-अवरोध (7) / Slope (-2), (y)-intercept (7). From (4y=-8x+28), (y=-2x+7). So the slope is (-2) and the (y)-intercept is (7).

Step 3

Exam Tip

(4y=-8x+28) से (y=-2x+7) मिलता है। इसलिए ढाल (-2) और (y)-अवरोध (7) है।

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Question 52/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

समीकरण (3x-6y=18) का (y)-अवरोध क्या है?

What is the (y)-intercept of the equation (3x-6y=18)?

Explanation opens after your attempt

Correct Answer

B. (-3)

Step 1

Concept

Putting (x=0) gives (-6y=18) and (y=-3). This is the (y)-intercept.

Step 2

Why this answer is correct

The correct answer is B. (-3). Putting (x=0) gives (-6y=18) and (y=-3). This is the (y)-intercept.

Step 3

Exam Tip

(x=0) रखने पर (-6y=18) और (y=-3) मिलता है। यही (y)-अवरोध है।

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Question 53/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि रेखा (y=(k+4)x-2) की ढाल (9) है, तो (k) क्या है?

If the line (y=(k+4)x-2) has slope (9), what is (k)?

Explanation opens after your attempt

Correct Answer

B. (5)

Step 1

Concept

The slope is (k+4). From (k+4=9), (k=5).

Step 2

Why this answer is correct

The correct answer is B. (5). The slope is (k+4). From (k+4=9), (k=5).

Step 3

Exam Tip

ढाल (k+4) है। (k+4=9) से (k=5) मिलता है।

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Question 54/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा (y=-3x+c) बिंदु ( (4,-1) ) से गुजरती है। इसका (y)-अवरोध क्या है?

The line (y=-3x+c) passes through ( (4,-1) ). What is its (y)-intercept?

Explanation opens after your attempt

Correct Answer

C. (11)

Step 1

Concept

Substituting the point gives (-1=-3(4)+c). Therefore (c=11), which is the (y)-intercept.

Step 2

Why this answer is correct

The correct answer is C. (11). Substituting the point gives (-1=-3(4)+c). Therefore (c=11), which is the (y)-intercept.

Step 3

Exam Tip

बिंदु रखने पर (-1=-3(4)+c) मिलता है। इसलिए (c=11), जो (y)-अवरोध है।

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Question 55/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा (y=mx+5) बिंदु ( (-3,14) ) से गुजरती है। इसकी ढाल क्या है?

The line (y=mx+5) passes through ( (-3,14) ). What is its slope?

Explanation opens after your attempt

Correct Answer

D. (-3)

Step 1

Concept

Substituting the point gives (14=-3m+5). Thus (-3m=9) and (m=-3).

Step 2

Why this answer is correct

The correct answer is D. (-3). Substituting the point gives (14=-3m+5). Thus (-3m=9) and (m=-3).

Step 3

Exam Tip

बिंदु रखने पर (14=-3m+5) मिलता है। इससे (-3m=9) और (m=-3) है।

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Question 56/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

समीकरण (2x+5y=30) की ढाल क्या है?

What is the slope of the equation (2x+5y=30)?

Explanation opens after your attempt

Correct Answer

A. \(-\frac{2}{5}\)

Step 1

Concept

From (5y=-2x+30), \(y=-\frac{2}{5}x+6\). Therefore the slope is \(-\frac{2}{5}\).

Step 2

Why this answer is correct

The correct answer is A. \(-\frac{2}{5}\). From (5y=-2x+30), \(y=-\frac{2}{5}x+6\). Therefore the slope is \(-\frac{2}{5}\).

Step 3

Exam Tip

(5y=-2x+30) से \(y=-\frac{2}{5}x+6\) मिलता है। इसलिए ढाल \(-\frac{2}{5}\) है।

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Question 57/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (ay=18x-24) की ढाल (3) है, तो (a) का मान क्या है?

If (ay=18x-24) has slope (3), what is the value of (a)?

Explanation opens after your attempt

Correct Answer

C. (6)

Step 1

Concept

\(y=\frac{18}{a}x-\frac{24}{a}\). From \(\frac{18}{a}=3\), (a=6).

Step 2

Why this answer is correct

The correct answer is C. (6). \(y=\frac{18}{a}x-\frac{24}{a}\). From \(\frac{18}{a}=3\), (a=6).

Step 3

Exam Tip

\(y=\frac{18}{a}x-\frac{24}{a}\) होगा। \(\frac{18}{a}=3\) से (a=6) मिलता है।

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Question 58/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (ky=20x-40) का (y)-अवरोध (-8) है, तो (k) क्या है?

If (ky=20x-40) has (y)-intercept (-8), what is (k)?

Explanation opens after your attempt

Correct Answer

D. (5)

Step 1

Concept

\(y=\frac{20}{k}x-\frac{40}{k}\). From \(-\frac{40}{k}=-8\), (k=5).

Step 2

Why this answer is correct

The correct answer is D. (5). \(y=\frac{20}{k}x-\frac{40}{k}\). From \(-\frac{40}{k}=-8\), (k=5).

Step 3

Exam Tip

\(y=\frac{20}{k}x-\frac{40}{k}\) होगा। \(-\frac{40}{k}=-8\) से (k=5) मिलता है।

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Question 59/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा (y=(2p-3)x+6) की ढाल (13) है। (p) क्या होगा?

The line (y=(2p-3)x+6) has slope (13). What will (p) be?

Explanation opens after your attempt

Correct Answer

A. (8)

Step 1

Concept

The slope is (2p-3). From (2p-3=13), (2p=16) and (p=8).

Step 2

Why this answer is correct

The correct answer is A. (8). The slope is (2p-3). From (2p-3=13), (2p=16) and (p=8).

Step 3

Exam Tip

ढाल (2p-3) है। (2p-3=13) से (2p=16) और (p=8) मिलता है।

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Question 60/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=(r+2)x+(r-5)) मूल बिंदु से गुजरती है, तो इसकी ढाल क्या होगी?

If (y=(r+2)x+(r-5)) passes through the origin, what will be its slope?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

To pass through the origin, (r-5=0). Thus (r=5) and the slope is (r+2=7).

Step 2

Why this answer is correct

The correct answer is C. (7). To pass through the origin, (r-5=0). Thus (r=5) and the slope is (r+2=7).

Step 3

Exam Tip

मूल बिंदु से गुजरने के लिए (r-5=0) होना चाहिए। इसलिए (r=5) और ढाल (r+2=7) है।

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Question 61/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

समीकरण (10x+2y-16=0) में ढाल और (y)-अवरोध क्या हैं?

What are the slope and (y)-intercept in (10x+2y-16=0)?

Explanation opens after your attempt

Correct Answer

A. ढाल (-5), (y)-अवरोध (8)Slope (-5), (y)-intercept (8)

Step 1

Concept

From (2y=-10x+16), (y=-5x+8). So the slope is (-5) and the (y)-intercept is (8).

Step 2

Why this answer is correct

The correct answer is A. ढाल (-5), (y)-अवरोध (8) / Slope (-5), (y)-intercept (8). From (2y=-10x+16), (y=-5x+8). So the slope is (-5) and the (y)-intercept is (8).

Step 3

Exam Tip

(2y=-10x+16) से (y=-5x+8) मिलता है। इसलिए ढाल (-5) और (y)-अवरोध (8) है।

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Question 62/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

समीकरण (6x-4y+12=0) का (y)-अवरोध क्या है?

What is the (y)-intercept of (6x-4y+12=0)?

Explanation opens after your attempt

Correct Answer

B. (3)

Step 1

Concept

Putting (x=0) gives (-4y+12=0). Thus (y=3), so the (y)-intercept is (3).

Step 2

Why this answer is correct

The correct answer is B. (3). Putting (x=0) gives (-4y+12=0). Thus (y=3), so the (y)-intercept is (3).

Step 3

Exam Tip

(x=0) रखने पर (-4y+12=0) मिलता है। इससे (y=3), इसलिए (y)-अवरोध (3) है।

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Question 63/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि दो रेखाएं (y=(q-2)x+4) और (y=5x+1) समान ढाल रखती हैं, तो (q) क्या है?

If the two lines (y=(q-2)x+4) and (y=5x+1) have the same slope, what is (q)?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

For equal slopes, (q-2=5). This gives (q=7).

Step 2

Why this answer is correct

The correct answer is C. (7). For equal slopes, (q-2=5). This gives (q=7).

Step 3

Exam Tip

समान ढाल के लिए (q-2=5) होना चाहिए। इससे (q=7) मिलता है।

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Question 64/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=-6x+s) और (y=2x-9) का (y)-अवरोध समान है, तो (s) क्या होगा?

If (y=-6x+s) and (y=2x-9) have the same (y)-intercept, what will (s) be?

Explanation opens after your attempt

Correct Answer

C. (-9)

Step 1

Concept

The first line has (y)-intercept (s), and the second has (-9). If they are equal, (s=-9).

Step 2

Why this answer is correct

The correct answer is C. (-9). The first line has (y)-intercept (s), and the second has (-9). If they are equal, (s=-9).

Step 3

Exam Tip

पहली रेखा का (y)-अवरोध (s) और दूसरी का (-9) है। समान होने पर (s=-9) होगा।

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Question 65/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=(a+3)x+a) में ढाल और (y)-अवरोध का अंतर (3) है, तो कौन सा कथन सही है?

If in (y=(a+3)x+a), the difference between slope and (y)-intercept is (3), which statement is correct?

Explanation opens after your attempt

Correct Answer

A. यह हर (a) के लिए सही हैIt is true for every (a)

Step 1

Concept

The slope is (a+3) and the (y)-intercept is (a). Their difference ((a+3)-a=3) holds for every (a).

Step 2

Why this answer is correct

The correct answer is A. यह हर (a) के लिए सही है / It is true for every (a). The slope is (a+3) and the (y)-intercept is (a). Their difference ((a+3)-a=3) holds for every (a).

Step 3

Exam Tip

ढाल (a+3) और (y)-अवरोध (a) है। उनका अंतर ((a+3)-a=3) हर (a) के लिए है।

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Question 66/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा (y=3x+b) बिंदुओं ( (2,11) ) और ( (5,20) ) से गुजरती है। (b) क्या है?

The line (y=3x+b) passes through ( (2,11) ) and ( (5,20) ). What is (b)?

Explanation opens after your attempt

Correct Answer

B. (5)

Step 1

Concept

From the first point, (11=3(2)+b). So (b=5), and the second point also satisfies it.

Step 2

Why this answer is correct

The correct answer is B. (5). From the first point, (11=3(2)+b). So (b=5), and the second point also satisfies it.

Step 3

Exam Tip

पहले बिंदु से (11=3(2)+b) मिलता है। इसलिए (b=5), और दूसरा बिंदु भी इसे संतुष्ट करता है।

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Question 67/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा (y=mx-2) बिंदुओं ( (3,13) ) और ( (6,28) ) से गुजरती है। (m) क्या है?

The line (y=mx-2) passes through ( (3,13) ) and ( (6,28) ). What is (m)?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

The slope from the two points is \(\frac{28-13}{6-3}=5\). Therefore (m=5).

Step 2

Why this answer is correct

The correct answer is C. (5). The slope from the two points is \(\frac{28-13}{6-3}=5\). Therefore (m=5).

Step 3

Exam Tip

दोनों बिंदुओं से ढाल \(\frac{28-13}{6-3}=5\) है। इसलिए (m=5) है।

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Question 68/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=(k-4)x+10) और (y=6x+(k+1)) की ढालें समान हैं, तो (k) क्या है?

If (y=(k-4)x+10) and (y=6x+(k+1)) have equal slopes, what is (k)?

Explanation opens after your attempt

Correct Answer

A. (10)

Step 1

Concept

For equal slopes, (k-4=6). This gives (k=10).

Step 2

Why this answer is correct

The correct answer is A. (10). For equal slopes, (k-4=6). This gives (k=10).

Step 3

Exam Tip

समान ढाल के लिए (k-4=6) होगा। इससे (k=10) मिलता है।

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Question 69/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=(m+5)x-2) और (y=4x+(m^-7)) का (y)-अवरोध समान है, तो (m) क्या है?

If (y=(m+5)x-2) and (y=4x+(m^-7)) have the same (y)-intercept, what is (m)?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

For equal (y)-intercepts, (-2=m^-7). This gives (m=5).

Step 2

Why this answer is correct

The correct answer is C. (5). For equal (y)-intercepts, (-2=m^-7). This gives (m=5).

Step 3

Exam Tip

समान (y)-अवरोध के लिए (-2=m^-7) होगा। इससे (m=5) मिलता है।

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Question 70/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा (y=-4x+15) में (x) कितने बढ़ाने पर (y) (28) घटेगा?

In the line (y=-4x+15), by how much must (x) increase for (y) to decrease by (28)?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

The slope is (-4), so the decrease is \(4\Delta x\). From \(4\Delta x=28\), \(\Delta x=7\).

Step 2

Why this answer is correct

The correct answer is C. (7). The slope is (-4), so the decrease is \(4\Delta x\). From \(4\Delta x=28\), \(\Delta x=7\).

Step 3

Exam Tip

ढाल (-4) है, इसलिए कमी \(4\Delta x\) होगी। \(4\Delta x=28\) से \(\Delta x=7\) मिलता है।

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Question 71/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा \(y=\frac{7}{3}x-5\) में (y) को (21) बढ़ाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=\frac{7}{3}x-5\), how much should (x) increase to increase (y) by (21)?

Explanation opens after your attempt

Correct Answer

C. (9)

Step 1

Concept

The change is \(\frac{7}{3}\Delta x=21\). This gives \(\Delta x=9\).

Step 2

Why this answer is correct

The correct answer is C. (9). The change is \(\frac{7}{3}\Delta x=21\). This gives \(\Delta x=9\).

Step 3

Exam Tip

परिवर्तन \(\frac{7}{3}\Delta x=21\) होगा। इससे \(\Delta x=9\) मिलता है।

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Question 72/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=px+q) में (p=-5) और (q=-4), तो सही कथन कौन सा है?

If (p=-5) and (q=-4) in (y=px+q), which statement is correct?

Explanation opens after your attempt

Correct Answer

B. रेखा घटती है और (y)-अवरोध ऋणात्मक हैThe line decreases and (y)-intercept is negative

Step 1

Concept

(p=-5) gives a negative slope and (q=-4) gives a negative (y)-intercept. So the line decreases.

Step 2

Why this answer is correct

The correct answer is B. रेखा घटती है और (y)-अवरोध ऋणात्मक है / The line decreases and (y)-intercept is negative. (p=-5) gives a negative slope and (q=-4) gives a negative (y)-intercept. So the line decreases.

Step 3

Exam Tip

(p=-5) ऋणात्मक ढाल देता है और (q=-4) ऋणात्मक (y)-अवरोध देता है। इसलिए रेखा घटती है।

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Question 73/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (3x+ay=24) का (y)-अवरोध (6) है, तो (a) क्या है?

If (3x+ay=24) has (y)-intercept (6), what is (a)?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

Putting (x=0) gives (ay=24) and \(y=\frac{24}{a}\). From \(\frac{24}{a}=6\), (a=4).

Step 2

Why this answer is correct

The correct answer is C. (4). Putting (x=0) gives (ay=24) and \(y=\frac{24}{a}\). From \(\frac{24}{a}=6\), (a=4).

Step 3

Exam Tip

(x=0) रखने पर (ay=24) और \(y=\frac{24}{a}\) मिलता है। \(\frac{24}{a}=6\) से (a=4) है।

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Question 74/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (bx+6y=30) की ढाल (-2) है, तो (b) क्या है?

If (bx+6y=30) has slope (-2), what is (b)?

Explanation opens after your attempt

Correct Answer

C. (12)

Step 1

Concept

From (6y=-bx+30), the slope is \(-\frac{b}{6}\). From \(-\frac{b}{6}=-2\), (b=12).

Step 2

Why this answer is correct

The correct answer is C. (12). From (6y=-bx+30), the slope is \(-\frac{b}{6}\). From \(-\frac{b}{6}=-2\), (b=12).

Step 3

Exam Tip

(6y=-bx+30) से ढाल \(-\frac{b}{6}\) है। \(-\frac{b}{6}=-2\) से (b=12) मिलता है।

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Question 75/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा (y=(n-3)x+(2n-5)) का (y)-अवरोध (7) है। इसकी ढाल क्या है?

The line (y=(n-3)x+(2n-5)) has (y)-intercept (7). What is its slope?

Explanation opens after your attempt

Correct Answer

C. (2)

Step 1

Concept

From (2n-5=7), (n=6). The slope is (n-3=3), so option (D) is correct.

Step 2

Why this answer is correct

The correct answer is C. (2). From (2n-5=7), (n=6). The slope is (n-3=3), so option (D) is correct.

Step 3

Exam Tip

(2n-5=7) से (n=6) मिलता है। ढाल (n-3=3) नहीं, (3) है इसलिए विकल्प (D) सही है।

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Question 76/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा (y=(t-6)x+(t+2)) की ढाल (4) है। इसका (y)-अवरोध क्या है?

The line (y=(t-6)x+(t+2)) has slope (4). What is its (y)-intercept?

Explanation opens after your attempt

Correct Answer

C. (12)

Step 1

Concept

From (t-6=4), (t=10). The (y)-intercept is (t+2=12).

Step 2

Why this answer is correct

The correct answer is C. (12). From (t-6=4), (t=10). The (y)-intercept is (t+2=12).

Step 3

Exam Tip

(t-6=4) से (t=10) मिलता है। (y)-अवरोध (t+2=12) है।

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Question 77/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

कौन सी रेखा ( (0,-8) ) पर (y)-अक्ष काटती है और (x) के (3) बढ़ने पर (y) (18) बढ़ाती है?

Which line cuts the (y)-axis at ( (0,-8) ) and increases (y) by (18) when (x) increases by (3)?

Explanation opens after your attempt

Correct Answer

A. (y=6x-8)

Step 1

Concept

The slope is \(\frac{18}{3}=6\) and the (y)-intercept is (-8). So the line is (y=6x-8).

Step 2

Why this answer is correct

The correct answer is A. (y=6x-8). The slope is \(\frac{18}{3}=6\) and the (y)-intercept is (-8). So the line is (y=6x-8).

Step 3

Exam Tip

ढाल \(\frac{18}{3}=6\) है और (y)-अवरोध (-8) है। इसलिए रेखा (y=6x-8) है।

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Question 78/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

कौन सी रेखा ( (0,12) ) पर (y)-अक्ष काटती है और (x) के (4) बढ़ने पर (y) (20) घटाती है?

Which line cuts the (y)-axis at ( (0,12) ) and decreases (y) by (20) when (x) increases by (4)?

Explanation opens after your attempt

Correct Answer

B. (y=-5x+12)

Step 1

Concept

The slope is \(-\frac{20}{4}=-5\) and the (y)-intercept is (12). So (y=-5x+12) is correct.

Step 2

Why this answer is correct

The correct answer is B. (y=-5x+12). The slope is \(-\frac{20}{4}=-5\) and the (y)-intercept is (12). So (y=-5x+12) is correct.

Step 3

Exam Tip

ढाल \(-\frac{20}{4}=-5\) है और (y)-अवरोध (12) है। इसलिए (y=-5x+12) सही है।

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Question 79/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=(a+2)x+(a-9)) मूल बिंदु से गुजरती है, तो इसकी ढाल क्या होगी?

If (y=(a+2)x+(a-9)) passes through the origin, what will be its slope?

Explanation opens after your attempt

Correct Answer

C. (11)

Step 1

Concept

To pass through the origin, (a-9=0). Thus (a=9) and the slope is (a+2=11).

Step 2

Why this answer is correct

The correct answer is C. (11). To pass through the origin, (a-9=0). Thus (a=9) and the slope is (a+2=11).

Step 3

Exam Tip

मूल बिंदु से गुजरने के लिए (a-9=0) होगा। इसलिए (a=9) और ढाल (a+2=11) है।

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Question 80/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=(2u-1)x+(u+3)) का (y)-अवरोध (11) है, तो ढाल क्या है?

If (y=(2u-1)x+(u+3)) has (y)-intercept (11), what is the slope?

Explanation opens after your attempt

Correct Answer

A. (15)

Step 1

Concept

From (u+3=11), (u=8). The slope is (2u-1=15).

Step 2

Why this answer is correct

The correct answer is A. (15). From (u+3=11), (u=8). The slope is (2u-1=15).

Step 3

Exam Tip

(u+3=11) से (u=8) मिलता है। ढाल (2u-1=15) है।

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Question 81/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

समीकरण (4x+5y-35=0) में (y)-अवरोध और ढाल कौन से हैं?

What are the (y)-intercept and slope in (4x+5y-35=0)?

Explanation opens after your attempt

Correct Answer

A. (y)-अवरोध (7), ढाल \(-\frac{4}{5}\)(y)-intercept (7), slope \(-\frac{4}{5}\)

Step 1

Concept

From (5y=-4x+35), \(y=-\frac{4}{5}x+7\). So the (y)-intercept is (7) and slope is \(-\frac{4}{5}\).

Step 2

Why this answer is correct

The correct answer is A. (y)-अवरोध (7), ढाल \(-\frac{4}{5}\) / (y)-intercept (7), slope \(-\frac{4}{5}\). From (5y=-4x+35), \(y=-\frac{4}{5}x+7\). So the (y)-intercept is (7) and slope is \(-\frac{4}{5}\).

Step 3

Exam Tip

(5y=-4x+35) से \(y=-\frac{4}{5}x+7\) मिलता है। इसलिए (y)-अवरोध (7) और ढाल \(-\frac{4}{5}\) है।

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Question 82/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=5x+b) और (y=-3x+6) (y)-अक्ष पर एक ही बिंदु काटती हैं, तो (b) क्या है?

If (y=5x+b) and (y=-3x+6) cut the (y)-axis at the same point, what is (b)?

Explanation opens after your attempt

Correct Answer

C. (6)

Step 1

Concept

The same (y)-axis point means equal (y)-intercepts. Therefore (b=6).

Step 2

Why this answer is correct

The correct answer is C. (6). The same (y)-axis point means equal (y)-intercepts. Therefore (b=6).

Step 3

Exam Tip

एक ही (y)-अक्ष बिंदु का अर्थ समान (y)-अवरोध है। इसलिए (b=6) है।

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Question 83/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=ax-7) और (y=6x+5) की ढालें समान हैं, तो (x=3) पर पहली रेखा का (y) क्या होगा?

If (y=ax-7) and (y=6x+5) have equal slopes, what is (y) on the first line at (x=3)?

Explanation opens after your attempt

Correct Answer

C. (11)

Step 1

Concept

Equal slopes give (a=6). Putting (x=3), (y=6(3)-7=11).

Step 2

Why this answer is correct

The correct answer is C. (11). Equal slopes give (a=6). Putting (x=3), (y=6(3)-7=11).

Step 3

Exam Tip

समान ढाल से (a=6) है। (x=3) रखने पर (y=6(3)-7=11) है।

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Question 84/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा (y=-8x+c) का (y)-अवरोध (5) है। (x=-2) पर (y) क्या होगा?

The line (y=-8x+c) has (y)-intercept (5). What will (y) be at (x=-2)?

Explanation opens after your attempt

Correct Answer

D. (21)

Step 1

Concept

The (y)-intercept (5) gives (c=5). Putting (x=-2), (y=-8(-2)+5=21).

Step 2

Why this answer is correct

The correct answer is D. (21). The (y)-intercept (5) gives (c=5). Putting (x=-2), (y=-8(-2)+5=21).

Step 3

Exam Tip

(y)-अवरोध (5) से (c=5) है। (x=-2) रखने पर (y=-8(-2)+5=21) है।

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Question 85/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि रेखा (y=(k-1)x+4) (x) के (5) बढ़ने पर (y) (35) बढ़ाती है, तो (k) क्या है?

If the line (y=(k-1)x+4) increases (y) by (35) when (x) increases by (5), what is (k)?

Explanation opens after your attempt

Correct Answer

C. (8)

Step 1

Concept

The slope is (k-1) and (5(k-1)=35). Thus (k-1=7) and (k=8).

Step 2

Why this answer is correct

The correct answer is C. (8). The slope is (k-1) and (5(k-1)=35). Thus (k-1=7) and (k=8).

Step 3

Exam Tip

ढाल (k-1) है और (5(k-1)=35)। इससे (k-1=7) और (k=8) मिलता है।

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Question 86/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि रेखा (y=-(p+2)x+14) (x) के (4) बढ़ने पर (y) (24) घटाती है, तो (p) क्या है?

If the line (y=-(p+2)x+14) decreases (y) by (24) when (x) increases by (4), what is (p)?

Explanation opens after your attempt

Correct Answer

A. (4)

Step 1

Concept

The slope is (-(p+2)), and the decrease is (4(p+2)=24). So (p+2=6) and (p=4).

Step 2

Why this answer is correct

The correct answer is A. (4). The slope is (-(p+2)), and the decrease is (4(p+2)=24). So (p+2=6) and (p=4).

Step 3

Exam Tip

ढाल (-(p+2)) है और कमी (4(p+2)=24) होगी। इसलिए (p+2=6) और (p=4) है।

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Question 87/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

समीकरण (5y-3x=20) में (x=0) पर (y) का मान और ढाल क्या हैं?

In (5y-3x=20), what are the value of (y) at (x=0) and the slope?

Explanation opens after your attempt

Correct Answer

A. (y=4), ढाल \(\frac{3}{5}\)(y=4), slope \(\frac{3}{5}\)

Step 1

Concept

From (5y=3x+20), \(y=\frac{3}{5}x+4\). So at (x=0), (y=4) and the slope is \(\frac{3}{5}\).

Step 2

Why this answer is correct

The correct answer is A. (y=4), ढाल \(\frac{3}{5}\) / (y=4), slope \(\frac{3}{5}\). From (5y=3x+20), \(y=\frac{3}{5}x+4\). So at (x=0), (y=4) and the slope is \(\frac{3}{5}\).

Step 3

Exam Tip

(5y=3x+20) से \(y=\frac{3}{5}x+4\) मिलता है। इसलिए (x=0) पर (y=4) और ढाल \(\frac{3}{5}\) है।

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Question 88/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=mx+c) में (m+c=12) और (c=5), तो ढाल क्या है?

If (m+c=12) and (c=5) in (y=mx+c), what is the slope?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

Putting (c=5) gives (m+5=12). Therefore (m=7), which is the slope.

Step 2

Why this answer is correct

The correct answer is C. (7). Putting (c=5) gives (m+5=12). Therefore (m=7), which is the slope.

Step 3

Exam Tip

(c=5) रखने पर (m+5=12) मिलता है। इसलिए (m=7), जो ढाल है।

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Question 89/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=mx+c) में ढाल (-4) है और (m+c=3), तो (y)-अवरोध क्या है?

If the slope is (-4) and (m+c=3) in (y=mx+c), what is the (y)-intercept?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

Slope (-4) gives (m=-4). From (-4+c=3), (c=7), which is the (y)-intercept.

Step 2

Why this answer is correct

The correct answer is C. (7). Slope (-4) gives (m=-4). From (-4+c=3), (c=7), which is the (y)-intercept.

Step 3

Exam Tip

ढाल (-4) से (m=-4) है। (-4+c=3) से (c=7), जो (y)-अवरोध है।

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Question 90/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा \(y=\frac{2}{3}x+c\) बिंदु ( (6,9) ) से गुजरती है। (c) क्या है?

The line \(y=\frac{2}{3}x+c\) passes through ( (6,9) ). What is (c)?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

Substituting the point gives (9=\frac{2}{3}(6)+c). So (9=4+c) and (c=5).

Step 2

Why this answer is correct

The correct answer is C. (5). Substituting the point gives (9=\frac{2}{3}(6)+c). So (9=4+c) and (c=5).

Step 3

Exam Tip

बिंदु रखने पर (9=\frac{2}{3}(6)+c) मिलता है। इसलिए (9=4+c) और (c=5) है।

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Question 91/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा (y=mx-3) बिंदु ( (8,1) ) से गुजरती है। (m) क्या है?

The line (y=mx-3) passes through ( (8,1) ). What is (m)?

Explanation opens after your attempt

Correct Answer

A. \( \frac{1}{2} \)

Step 1

Concept

Substituting the point gives (1=8m-3). Thus (8m=4) and \(m=\frac{1}{2}\).

Step 2

Why this answer is correct

The correct answer is A. \( \frac{1}{2} \). Substituting the point gives (1=8m-3). Thus (8m=4) and \(m=\frac{1}{2}\).

Step 3

Exam Tip

बिंदु रखने पर (1=8m-3) मिलता है। इससे (8m=4) और \(m=\frac{1}{2}\) है।

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Question 92/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=(3a-2)x+(a+1)) का (y)-अवरोध (6) है, तो ढाल क्या है?

If (y=(3a-2)x+(a+1)) has (y)-intercept (6), what is the slope?

Explanation opens after your attempt

Correct Answer

C. (13)

Step 1

Concept

From (a+1=6), (a=5). The slope is (3a-2=13).

Step 2

Why this answer is correct

The correct answer is C. (13). From (a+1=6), (a=5). The slope is (3a-2=13).

Step 3

Exam Tip

(a+1=6) से (a=5) मिलता है। ढाल (3a-2=13) है।

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Question 93/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=(b-7)x+(2b+1)) की ढाल (2) है, तो (y)-अवरोध क्या है?

If (y=(b-7)x+(2b+1)) has slope (2), what is the (y)-intercept?

Explanation opens after your attempt

Correct Answer

C. (19)

Step 1

Concept

From (b-7=2), (b=9). The (y)-intercept is (2b+1=19).

Step 2

Why this answer is correct

The correct answer is C. (19). From (b-7=2), (b=9). The (y)-intercept is (2b+1=19).

Step 3

Exam Tip

(b-7=2) से (b=9) मिलता है। (y)-अवरोध (2b+1=19) है।

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Question 94/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

समीकरण (2x-3y+9=0) की ढाल और (y)-अवरोध क्या हैं?

What are the slope and (y)-intercept of (2x-3y+9=0)?

Explanation opens after your attempt

Correct Answer

A. ढाल \(\frac{2}{3}\), (y)-अवरोध (3)Slope \(\frac{2}{3}\), (y)-intercept (3)

Step 1

Concept

From (-3y=-2x-9), \(y=\frac{2}{3}x+3\). So the slope is \(\frac{2}{3}\) and the (y)-intercept is (3).

Step 2

Why this answer is correct

The correct answer is A. ढाल \(\frac{2}{3}\), (y)-अवरोध (3) / Slope \(\frac{2}{3}\), (y)-intercept (3). From (-3y=-2x-9), \(y=\frac{2}{3}x+3\). So the slope is \(\frac{2}{3}\) and the (y)-intercept is (3).

Step 3

Exam Tip

(-3y=-2x-9) से \(y=\frac{2}{3}x+3\) मिलता है। इसलिए ढाल \(\frac{2}{3}\) और (y)-अवरोध (3) है।

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Question 95/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=(t+1)x-4) और (y=8x+(2t-3)) की ढालें समान हैं, तो दूसरी रेखा का (y)-अवरोध क्या है?

If (y=(t+1)x-4) and (y=8x+(2t-3)) have equal slopes, what is the (y)-intercept of the second line?

Explanation opens after your attempt

Correct Answer

C. (13)

Step 1

Concept

Equal slopes give (t+1=8) and (t=7). The second line's (y)-intercept is (2t-3=11), so option (A) is correct.

Step 2

Why this answer is correct

The correct answer is C. (13). Equal slopes give (t+1=8) and (t=7). The second line's (y)-intercept is (2t-3=11), so option (A) is correct.

Step 3

Exam Tip

समान ढाल से (t+1=8) और (t=7) है। दूसरी रेखा का (y)-अवरोध (2t-3=11) नहीं बल्कि (11) है।

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Question 96/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=2x+(v-4)) और (y=(v+1)x+5) का (y)-अवरोध समान है, तो दूसरी रेखा की ढाल क्या है?

If (y=2x+(v-4)) and (y=(v+1)x+5) have the same (y)-intercept, what is the slope of the second line?

Explanation opens after your attempt

Correct Answer

C. (10)

Step 1

Concept

Equal (y)-intercepts give (v-4=5) and (v=9). The slope of the second line is (v+1=10).

Step 2

Why this answer is correct

The correct answer is C. (10). Equal (y)-intercepts give (v-4=5) and (v=9). The slope of the second line is (v+1=10).

Step 3

Exam Tip

समान (y)-अवरोध से (v-4=5) और (v=9) है। दूसरी रेखा की ढाल (v+1=10) है।

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Question 97/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा \(y=-\frac{3}{2}x+10\) में (y) को (18) घटाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=-\frac{3}{2}x+10\), how much should (x) increase to decrease (y) by (18)?

Explanation opens after your attempt

Correct Answer

C. (12)

Step 1

Concept

The decrease is \(\frac{3}{2}\Delta x\). From \(\frac{3}{2}\Delta x=18\), \(\Delta x=12\).

Step 2

Why this answer is correct

The correct answer is C. (12). The decrease is \(\frac{3}{2}\Delta x\). From \(\frac{3}{2}\Delta x=18\), \(\Delta x=12\).

Step 3

Exam Tip

कमी \(\frac{3}{2}\Delta x\) होगी। \(\frac{3}{2}\Delta x=18\) से \(\Delta x=12\) मिलता है।

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Question 98/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=(k+3)x+2) (x) के (2) बढ़ने पर (y) (16) बढ़ाती है, तो (k) क्या है?

If (y=(k+3)x+2) increases (y) by (16) when (x) increases by (2), what is (k)?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

The slope is (k+3) and (2(k+3)=16). Therefore (k+3=8) and (k=5).

Step 2

Why this answer is correct

The correct answer is C. (5). The slope is (k+3) and (2(k+3)=16). Therefore (k+3=8) and (k=5).

Step 3

Exam Tip

ढाल (k+3) है और (2(k+3)=16)। इसलिए (k+3=8) और (k=5) है।

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Question 99/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=mx+c) में (c=-6) और (m-c=14), तो ढाल क्या है?

If (c=-6) and (m-c=14) in (y=mx+c), what is the slope?

Explanation opens after your attempt

Correct Answer

C. (8)

Step 1

Concept

Putting (c=-6) gives (m-(-6)=14). So (m+6=14) and (m=8).

Step 2

Why this answer is correct

The correct answer is C. (8). Putting (c=-6) gives (m-(-6)=14). So (m+6=14) and (m=8).

Step 3

Exam Tip

(c=-6) रखने पर (m-(-6)=14) मिलता है। इसलिए (m+6=14) और (m=8) है।

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Question 100/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=mx+c) में (m=-2) और (2c+m=10), तो (y)-अवरोध क्या है?

If (m=-2) and (2c+m=10) in (y=mx+c), what is the (y)-intercept?

Explanation opens after your attempt

Correct Answer

C. (6)

Step 1

Concept

Putting (m=-2) gives (2c-2=10). Thus (2c=12) and (c=6).

Step 2

Why this answer is correct

The correct answer is C. (6). Putting (m=-2) gives (2c-2=10). Thus (2c=12) and (c=6).

Step 3

Exam Tip

(m=-2) रखने पर (2c-2=10) मिलता है। इससे (2c=12) और (c=6) है।

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Question 101/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

समीकरण (9x+3y=24) को (y=mx+c) रूप में लिखने पर ढाल और (y)-अवरोध क्या होंगे?

When (9x+3y=24) is written in (y=mx+c) form, what are the slope and (y)-intercept?

Explanation opens after your attempt

Correct Answer

A. ढाल (-3), (y)-अवरोध (8)Slope (-3), (y)-intercept (8)

Step 1

Concept

From (3y=-9x+24), (y=-3x+8). The coefficient is slope and the constant term is the (y)-intercept.

Step 2

Why this answer is correct

The correct answer is A. ढाल (-3), (y)-अवरोध (8) / Slope (-3), (y)-intercept (8). From (3y=-9x+24), (y=-3x+8). The coefficient is slope and the constant term is the (y)-intercept.

Step 3

Exam Tip

(3y=-9x+24) से (y=-3x+8) मिलता है। गुणांक ढाल और स्थिर पद (y)-अवरोध है।

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Question 102/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

समीकरण (4x-8y=32) का (y)-अवरोध क्या है?

What is the (y)-intercept of the equation (4x-8y=32)?

Explanation opens after your attempt

Correct Answer

B. (-4)

Step 1

Concept

Putting (x=0) gives (-8y=32) and (y=-4). Therefore the (y)-intercept is (-4).

Step 2

Why this answer is correct

The correct answer is B. (-4). Putting (x=0) gives (-8y=32) and (y=-4). Therefore the (y)-intercept is (-4).

Step 3

Exam Tip

(x=0) रखने पर (-8y=32) और (y=-4) मिलता है। इसलिए (y)-अवरोध (-4) है।

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Question 103/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि रेखा (y=(k-5)x+1) की ढाल (12) है, तो (k) क्या है?

If the line (y=(k-5)x+1) has slope (12), what is (k)?

Explanation opens after your attempt

Correct Answer

C. (17)

Step 1

Concept

The slope is (k-5). From (k-5=12), (k=17).

Step 2

Why this answer is correct

The correct answer is C. (17). The slope is (k-5). From (k-5=12), (k=17).

Step 3

Exam Tip

ढाल (k-5) है। (k-5=12) से (k=17) मिलता है।

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Question 104/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

रेखा (y=-4x+c) बिंदु ( (3,-5) ) से गुजरती है। इसका (y)-अवरोध क्या है?

The line (y=-4x+c) passes through ( (3,-5) ). What is its (y)-intercept?

Explanation opens after your attempt

Correct Answer

B. (7)

Step 1

Concept

Substituting the point gives (-5=-4(3)+c). Therefore (c=7), the (y)-intercept.

Step 2

Why this answer is correct

The correct answer is B. (7). Substituting the point gives (-5=-4(3)+c). Therefore (c=7), the (y)-intercept.

Step 3

Exam Tip

बिंदु रखने पर (-5=-4(3)+c) मिलता है। इसलिए (c=7), जो (y)-अवरोध है।

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Question 105/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

रेखा (y=mx+7) बिंदु ( (-2,1) ) से गुजरती है। इसकी ढाल क्या है?

The line (y=mx+7) passes through ( (-2,1) ). What is its slope?

Explanation opens after your attempt

Correct Answer

B. (3)

Step 1

Concept

Substituting the point gives (1=-2m+7). Thus (-2m=-6) and (m=3).

Step 2

Why this answer is correct

The correct answer is B. (3). Substituting the point gives (1=-2m+7). Thus (-2m=-6) and (m=3).

Step 3

Exam Tip

बिंदु रखने पर (1=-2m+7) मिलता है। इससे (-2m=-6) और (m=3) है।

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Question 106/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

समीकरण (3x+5y=25) की ढाल क्या है?

What is the slope of the equation (3x+5y=25)?

Explanation opens after your attempt

Correct Answer

A. \(-\frac{3}{5}\)

Step 1

Concept

From (5y=-3x+25), \(y=-\frac{3}{5}x+5\). Therefore the slope is \(-\frac{3}{5}\).

Step 2

Why this answer is correct

The correct answer is A. \(-\frac{3}{5}\). From (5y=-3x+25), \(y=-\frac{3}{5}x+5\). Therefore the slope is \(-\frac{3}{5}\).

Step 3

Exam Tip

(5y=-3x+25) से \(y=-\frac{3}{5}x+5\) मिलता है। इसलिए ढाल \(-\frac{3}{5}\) है।

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Question 107/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि (ay=24x-36) की ढाल (6) है, तो (a) का मान क्या है?

If (ay=24x-36) has slope (6), what is the value of (a)?

Explanation opens after your attempt

Correct Answer

B. (4)

Step 1

Concept

\(y=\frac{24}{a}x-\frac{36}{a}\). From \(\frac{24}{a}=6\), (a=4).

Step 2

Why this answer is correct

The correct answer is B. (4). \(y=\frac{24}{a}x-\frac{36}{a}\). From \(\frac{24}{a}=6\), (a=4).

Step 3

Exam Tip

\(y=\frac{24}{a}x-\frac{36}{a}\) होगा। \(\frac{24}{a}=6\) से (a=4) मिलता है।

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Question 108/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि (ky=18x-54) का (y)-अवरोध (-9) है, तो (k) क्या है?

If (ky=18x-54) has (y)-intercept (-9), what is (k)?

Explanation opens after your attempt

Correct Answer

C. (6)

Step 1

Concept

\(y=\frac{18}{k}x-\frac{54}{k}\). From \(-\frac{54}{k}=-9\), (k=6).

Step 2

Why this answer is correct

The correct answer is C. (6). \(y=\frac{18}{k}x-\frac{54}{k}\). From \(-\frac{54}{k}=-9\), (k=6).

Step 3

Exam Tip

\(y=\frac{18}{k}x-\frac{54}{k}\) होगा। \(-\frac{54}{k}=-9\) से (k=6) मिलता है।

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Question 109/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

रेखा (y=(3p-2)x+4) की ढाल (16) है। (p) क्या होगा?

The line (y=(3p-2)x+4) has slope (16). What will (p) be?

Explanation opens after your attempt

Correct Answer

C. (6)

Step 1

Concept

The slope is (3p-2). From (3p-2=16), (3p=18) and (p=6).

Step 2

Why this answer is correct

The correct answer is C. (6). The slope is (3p-2). From (3p-2=16), (3p=18) and (p=6).

Step 3

Exam Tip

ढाल (3p-2) है। (3p-2=16) से (3p=18) और (p=6) है।

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Question 110/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि (y=(r-4)x+(r+6)) मूल बिंदु से गुजरती है, तो इसकी ढाल क्या होगी?

If (y=(r-4)x+(r+6)) passes through the origin, what will be its slope?

Explanation opens after your attempt

Correct Answer

A. (-10)

Step 1

Concept

To pass through the origin, (r+6=0). Thus (r=-6) and the slope is (r-4=-10).

Step 2

Why this answer is correct

The correct answer is A. (-10). To pass through the origin, (r+6=0). Thus (r=-6) and the slope is (r-4=-10).

Step 3

Exam Tip

मूल बिंदु से गुजरने के लिए (r+6=0) होगा। इसलिए (r=-6) और ढाल (r-4=-10) है।

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Question 111/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

समीकरण (12x+3y-21=0) में ढाल और (y)-अवरोध क्या हैं?

What are the slope and (y)-intercept in (12x+3y-21=0)?

Explanation opens after your attempt

Correct Answer

B. ढाल (-4), (y)-अवरोध (7)Slope (-4), (y)-intercept (7)

Step 1

Concept

From (3y=-12x+21), (y=-4x+7). So the slope is (-4) and the (y)-intercept is (7).

Step 2

Why this answer is correct

The correct answer is B. ढाल (-4), (y)-अवरोध (7) / Slope (-4), (y)-intercept (7). From (3y=-12x+21), (y=-4x+7). So the slope is (-4) and the (y)-intercept is (7).

Step 3

Exam Tip

(3y=-12x+21) से (y=-4x+7) मिलता है। इसलिए ढाल (-4) और (y)-अवरोध (7) है।

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Question 112/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

समीकरण (8x-2y+10=0) का (y)-अवरोध क्या है?

What is the (y)-intercept of (8x-2y+10=0)?

Explanation opens after your attempt

Correct Answer

B. (5)

Step 1

Concept

Putting (x=0) gives (-2y+10=0). Thus (y=5), so the (y)-intercept is (5).

Step 2

Why this answer is correct

The correct answer is B. (5). Putting (x=0) gives (-2y+10=0). Thus (y=5), so the (y)-intercept is (5).

Step 3

Exam Tip

(x=0) रखने पर (-2y+10=0) मिलता है। इससे (y=5), इसलिए (y)-अवरोध (5) है।

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Question 113/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि दो रेखाएं (y=(q+3)x-6) और (y=11x+2) समान ढाल रखती हैं, तो (q) क्या है?

If the two lines (y=(q+3)x-6) and (y=11x+2) have the same slope, what is (q)?

Explanation opens after your attempt

Correct Answer

D. (8)

Step 1

Concept

For equal slopes, (q+3=11). This gives (q=8).

Step 2

Why this answer is correct

The correct answer is D. (8). For equal slopes, (q+3=11). This gives (q=8).

Step 3

Exam Tip

समान ढाल के लिए (q+3=11) होना चाहिए। इससे (q=8) मिलता है।

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Question 114/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि (y=-7x+s) और (y=4x-12) का (y)-अवरोध समान है, तो (s) क्या होगा?

If (y=-7x+s) and (y=4x-12) have the same (y)-intercept, what will (s) be?

Explanation opens after your attempt

Correct Answer

A. (-12)

Step 1

Concept

The first line has (y)-intercept (s), and the second has (-12). If they are equal, (s=-12).

Step 2

Why this answer is correct

The correct answer is A. (-12). The first line has (y)-intercept (s), and the second has (-12). If they are equal, (s=-12).

Step 3

Exam Tip

पहली रेखा का (y)-अवरोध (s) और दूसरी का (-12) है। समान होने पर (s=-12) होगा।

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Question 115/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि (y=(a-4)x+a) में ढाल और (y)-अवरोध का अंतर (-4) है, तो कौन सा कथन सही है?

If in (y=(a-4)x+a), the difference between slope and (y)-intercept is (-4), which statement is correct?

Explanation opens after your attempt

Correct Answer

B. यह हर (a) के लिए सही हैIt is true for every (a)

Step 1

Concept

The slope is (a-4) and the (y)-intercept is (a). Their difference ((a-4)-a=-4) holds for every (a).

Step 2

Why this answer is correct

The correct answer is B. यह हर (a) के लिए सही है / It is true for every (a). The slope is (a-4) and the (y)-intercept is (a). Their difference ((a-4)-a=-4) holds for every (a).

Step 3

Exam Tip

ढाल (a-4) और (y)-अवरोध (a) है। उनका अंतर ((a-4)-a=-4) हर (a) के लिए है।

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Question 116/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

रेखा (y=4x+b) बिंदुओं ( (1,9) ) और ( (3,17) ) से गुजरती है। (b) क्या है?

The line (y=4x+b) passes through ( (1,9) ) and ( (3,17) ). What is (b)?

Explanation opens after your attempt

Correct Answer

B. (5)

Step 1

Concept

From the first point, (9=4(1)+b). So (b=5), and the second point also fits.

Step 2

Why this answer is correct

The correct answer is B. (5). From the first point, (9=4(1)+b). So (b=5), and the second point also fits.

Step 3

Exam Tip

पहले बिंदु से (9=4(1)+b) मिलता है। इसलिए (b=5), और दूसरा बिंदु भी सही बैठता है।

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Question 117/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

रेखा (y=mx+1) बिंदुओं ( (2,9) ) और ( (5,21) ) से गुजरती है। (m) क्या है?

The line (y=mx+1) passes through ( (2,9) ) and ( (5,21) ). What is (m)?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

The slope from the two points is \(\frac{21-9}{5-2}=4\). Therefore (m=4).

Step 2

Why this answer is correct

The correct answer is C. (4). The slope from the two points is \(\frac{21-9}{5-2}=4\). Therefore (m=4).

Step 3

Exam Tip

दोनों बिंदुओं से ढाल \(\frac{21-9}{5-2}=4\) है। इसलिए (m=4) है।

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Question 118/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि (y=(k-6)x+13) और (y=5x+(k+2)) की ढालें समान हैं, तो (k) क्या है?

If (y=(k-6)x+13) and (y=5x+(k+2)) have equal slopes, what is (k)?

Explanation opens after your attempt

Correct Answer

C. (11)

Step 1

Concept

For equal slopes, (k-6=5). This gives (k=11).

Step 2

Why this answer is correct

The correct answer is C. (11). For equal slopes, (k-6=5). This gives (k=11).

Step 3

Exam Tip

समान ढाल के लिए (k-6=5) होगा। इससे (k=11) मिलता है।

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Question 119/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि (y=(m^-2)x-5) और (y=6x+(m^-9)) का (y)-अवरोध समान है, तो (m) क्या है?

If (y=(m^-2)x-5) and (y=6x+(m^-9)) have the same (y)-intercept, what is (m)?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

For equal (y)-intercepts, (-5=m^-9). This gives (m=4).

Step 2

Why this answer is correct

The correct answer is C. (4). For equal (y)-intercepts, (-5=m^-9). This gives (m=4).

Step 3

Exam Tip

समान (y)-अवरोध के लिए (-5=m^-9) होगा। इससे (m=4) मिलता है।

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Question 120/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

रेखा (y=-5x+18) में (x) कितने बढ़ाने पर (y) (35) घटेगा?

In the line (y=-5x+18), by how much must (x) increase for (y) to decrease by (35)?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

The slope is (-5), so the decrease is \(5\Delta x\). From \(5\Delta x=35\), \(\Delta x=7\).

Step 2

Why this answer is correct

The correct answer is C. (7). The slope is (-5), so the decrease is \(5\Delta x\). From \(5\Delta x=35\), \(\Delta x=7\).

Step 3

Exam Tip

ढाल (-5) है, इसलिए कमी \(5\Delta x\) होगी। \(5\Delta x=35\) से \(\Delta x=7\) है।

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Question 121/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

रेखा \(y=\frac{4}{3}x-6\) में (y) को (24) बढ़ाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=\frac{4}{3}x-6\), how much should (x) increase to increase (y) by (24)?

Explanation opens after your attempt

Correct Answer

B. (18)

Step 1

Concept

The change is \(\frac{4}{3}\Delta x=24\). This gives \(\Delta x=18\).

Step 2

Why this answer is correct

The correct answer is B. (18). The change is \(\frac{4}{3}\Delta x=24\). This gives \(\Delta x=18\).

Step 3

Exam Tip

परिवर्तन \(\frac{4}{3}\Delta x=24\) होगा। इससे \(\Delta x=18\) मिलता है।

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Question 122/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि (y=px+q) में (p=6) और (q=-8), तो सही कथन कौन सा है?

If (p=6) and (q=-8) in (y=px+q), which statement is correct?

Explanation opens after your attempt

Correct Answer

B. रेखा बढ़ती है और (y)-अवरोध ऋणात्मक हैThe line increases and the (y)-intercept is negative

Step 1

Concept

(p=6) gives a positive slope and (q=-8) gives a negative (y)-intercept. So the line increases.

Step 2

Why this answer is correct

The correct answer is B. रेखा बढ़ती है और (y)-अवरोध ऋणात्मक है / The line increases and the (y)-intercept is negative. (p=6) gives a positive slope and (q=-8) gives a negative (y)-intercept. So the line increases.

Step 3

Exam Tip

(p=6) धनात्मक ढाल देता है और (q=-8) ऋणात्मक (y)-अवरोध देता है। इसलिए रेखा बढ़ती है।

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Question 123/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि (5x+ay=40) का (y)-अवरोध (8) है, तो (a) क्या है?

If (5x+ay=40) has (y)-intercept (8), what is (a)?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

Putting (x=0) gives (ay=40) and \(y=\frac{40}{a}\). From \(\frac{40}{a}=8\), (a=5).

Step 2

Why this answer is correct

The correct answer is C. (5). Putting (x=0) gives (ay=40) and \(y=\frac{40}{a}\). From \(\frac{40}{a}=8\), (a=5).

Step 3

Exam Tip

(x=0) रखने पर (ay=40) और \(y=\frac{40}{a}\) मिलता है। \(\frac{40}{a}=8\) से (a=5) है।

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Question 124/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि (bx+8y=48) की ढाल (-3) है, तो (b) क्या है?

If (bx+8y=48) has slope (-3), what is (b)?

Explanation opens after your attempt

Correct Answer

C. (24)

Step 1

Concept

From (8y=-bx+48), the slope is \(-\frac{b}{8}\). From \(-\frac{b}{8}=-3\), (b=24).

Step 2

Why this answer is correct

The correct answer is C. (24). From (8y=-bx+48), the slope is \(-\frac{b}{8}\). From \(-\frac{b}{8}=-3\), (b=24).

Step 3

Exam Tip

(8y=-bx+48) से ढाल \(-\frac{b}{8}\) है। \(-\frac{b}{8}=-3\) से (b=24) है।

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Question 125/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

रेखा (y=(n-4)x+(2n-3)) का (y)-अवरोध (11) है। इसकी ढाल क्या है?

The line (y=(n-4)x+(2n-3)) has (y)-intercept (11). What is its slope?

Explanation opens after your attempt

Correct Answer

B. (3)

Step 1

Concept

From (2n-3=11), (n=7). The slope is (n-4=3).

Step 2

Why this answer is correct

The correct answer is B. (3). From (2n-3=11), (n=7). The slope is (n-4=3).

Step 3

Exam Tip

(2n-3=11) से (n=7) मिलता है। ढाल (n-4=3) है।

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Question 126/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

रेखा (y=(t-8)x+(t+5)) की ढाल (6) है। इसका (y)-अवरोध क्या है?

The line (y=(t-8)x+(t+5)) has slope (6). What is its (y)-intercept?

Explanation opens after your attempt

Correct Answer

D. (19)

Step 1

Concept

From (t-8=6), (t=14). The (y)-intercept is (t+5=19).

Step 2

Why this answer is correct

The correct answer is D. (19). From (t-8=6), (t=14). The (y)-intercept is (t+5=19).

Step 3

Exam Tip

(t-8=6) से (t=14) मिलता है। (y)-अवरोध (t+5=19) है।

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Question 127/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

कौन सी रेखा ( (0,-10) ) पर (y)-अक्ष काटती है और (x) के (4) बढ़ने पर (y) (28) बढ़ाती है?

Which line cuts the (y)-axis at ( (0,-10) ) and increases (y) by (28) when (x) increases by (4)?

Explanation opens after your attempt

Correct Answer

A. (y=7x-10)

Step 1

Concept

The slope is \(\frac{28}{4}=7\) and the (y)-intercept is (-10). So the line is (y=7x-10).

Step 2

Why this answer is correct

The correct answer is A. (y=7x-10). The slope is \(\frac{28}{4}=7\) and the (y)-intercept is (-10). So the line is (y=7x-10).

Step 3

Exam Tip

ढाल \(\frac{28}{4}=7\) है और (y)-अवरोध (-10) है। इसलिए रेखा (y=7x-10) है।

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Question 128/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

कौन सी रेखा ( (0,14) ) पर (y)-अक्ष काटती है और (x) के (5) बढ़ने पर (y) (30) घटाती है?

Which line cuts the (y)-axis at ( (0,14) ) and decreases (y) by (30) when (x) increases by (5)?

Explanation opens after your attempt

Correct Answer

B. (y=-6x+14)

Step 1

Concept

The slope is \(-\frac{30}{5}=-6\) and the (y)-intercept is (14). So (y=-6x+14) is correct.

Step 2

Why this answer is correct

The correct answer is B. (y=-6x+14). The slope is \(-\frac{30}{5}=-6\) and the (y)-intercept is (14). So (y=-6x+14) is correct.

Step 3

Exam Tip

ढाल \(-\frac{30}{5}=-6\) है और (y)-अवरोध (14) है। इसलिए (y=-6x+14) सही है।

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Question 129/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि (y=(a+4)x+(a-10)) मूल बिंदु से गुजरती है, तो इसकी ढाल क्या होगी?

If (y=(a+4)x+(a-10)) passes through the origin, what will be its slope?

Explanation opens after your attempt

Correct Answer

C. (14)

Step 1

Concept

To pass through the origin, (a-10=0). Thus (a=10) and the slope is (a+4=14).

Step 2

Why this answer is correct

The correct answer is C. (14). To pass through the origin, (a-10=0). Thus (a=10) and the slope is (a+4=14).

Step 3

Exam Tip

मूल बिंदु से गुजरने के लिए (a-10=0) होगा। इसलिए (a=10) और ढाल (a+4=14) है।

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Question 130/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि (y=(2u+1)x+(u-2)) का (y)-अवरोध (6) है, तो ढाल क्या है?

If (y=(2u+1)x+(u-2)) has (y)-intercept (6), what is the slope?

Explanation opens after your attempt

Correct Answer

C. (17)

Step 1

Concept

From (u-2=6), (u=8). The slope is (2u+1=17).

Step 2

Why this answer is correct

The correct answer is C. (17). From (u-2=6), (u=8). The slope is (2u+1=17).

Step 3

Exam Tip

(u-2=6) से (u=8) मिलता है। ढाल (2u+1=17) है।

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Question 131/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

समीकरण (6x+7y-42=0) में (y)-अवरोध और ढाल कौन से हैं?

What are the (y)-intercept and slope in (6x+7y-42=0)?

Explanation opens after your attempt

Correct Answer

A. (y)-अवरोध (6), ढाल \(-\frac{6}{7}\)(y)-intercept (6), slope \(-\frac{6}{7}\)

Step 1

Concept

From (7y=-6x+42), \(y=-\frac{6}{7}x+6\). So the (y)-intercept is (6) and slope is \(-\frac{6}{7}\).

Step 2

Why this answer is correct

The correct answer is A. (y)-अवरोध (6), ढाल \(-\frac{6}{7}\) / (y)-intercept (6), slope \(-\frac{6}{7}\). From (7y=-6x+42), \(y=-\frac{6}{7}x+6\). So the (y)-intercept is (6) and slope is \(-\frac{6}{7}\).

Step 3

Exam Tip

(7y=-6x+42) से \(y=-\frac{6}{7}x+6\) मिलता है। इसलिए (y)-अवरोध (6) और ढाल \(-\frac{6}{7}\) है।

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Question 132/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि (y=6x+b) और (y=-4x+8) (y)-अक्ष पर एक ही बिंदु काटती हैं, तो (b) क्या है?

If (y=6x+b) and (y=-4x+8) cut the (y)-axis at the same point, what is (b)?

Explanation opens after your attempt

Correct Answer

C. (8)

Step 1

Concept

The same (y)-axis point means equal (y)-intercepts. Therefore (b=8).

Step 2

Why this answer is correct

The correct answer is C. (8). The same (y)-axis point means equal (y)-intercepts. Therefore (b=8).

Step 3

Exam Tip

एक ही (y)-अक्ष बिंदु का अर्थ समान (y)-अवरोध है। इसलिए (b=8) है।

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Question 133/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि (y=ax-9) और (y=7x+3) की ढालें समान हैं, तो (x=2) पर पहली रेखा का (y) क्या होगा?

If (y=ax-9) and (y=7x+3) have equal slopes, what is (y) on the first line at (x=2)?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

Equal slopes give (a=7). Putting (x=2), (y=7(2)-9=5).

Step 2

Why this answer is correct

The correct answer is C. (5). Equal slopes give (a=7). Putting (x=2), (y=7(2)-9=5).

Step 3

Exam Tip

समान ढाल से (a=7) है। (x=2) रखने पर (y=7(2)-9=5) है।

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Question 134/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

रेखा (y=-9x+c) का (y)-अवरोध (4) है। (x=-3) पर (y) क्या होगा?

The line (y=-9x+c) has (y)-intercept (4). What will (y) be at (x=-3)?

Explanation opens after your attempt

Correct Answer

D. (31)

Step 1

Concept

The (y)-intercept (4) gives (c=4). Putting (x=-3), (y=-9(-3)+4=31).

Step 2

Why this answer is correct

The correct answer is D. (31). The (y)-intercept (4) gives (c=4). Putting (x=-3), (y=-9(-3)+4=31).

Step 3

Exam Tip

(y)-अवरोध (4) से (c=4) है। (x=-3) रखने पर (y=-9(-3)+4=31) है।

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Question 135/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि रेखा (y=(k-3)x+2) (x) के (6) बढ़ने पर (y) (48) बढ़ाती है, तो (k) क्या है?

If the line (y=(k-3)x+2) increases (y) by (48) when (x) increases by (6), what is (k)?

Explanation opens after your attempt

Correct Answer

C. (11)

Step 1

Concept

The slope is (k-3) and (6(k-3)=48). Therefore (k-3=8) and (k=11).

Step 2

Why this answer is correct

The correct answer is C. (11). The slope is (k-3) and (6(k-3)=48). Therefore (k-3=8) and (k=11).

Step 3

Exam Tip

ढाल (k-3) है और (6(k-3)=48)। इसलिए (k-3=8) और (k=11) है।

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Question 136/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि रेखा (y=-(p-1)x+16) (x) के (5) बढ़ने पर (y) (35) घटाती है, तो (p) क्या है?

If the line (y=-(p-1)x+16) decreases (y) by (35) when (x) increases by (5), what is (p)?

Explanation opens after your attempt

Correct Answer

C. (8)

Step 1

Concept

The slope is (-(p-1)), and the decrease is (5(p-1)=35). So (p-1=7) and (p=8).

Step 2

Why this answer is correct

The correct answer is C. (8). The slope is (-(p-1)), and the decrease is (5(p-1)=35). So (p-1=7) and (p=8).

Step 3

Exam Tip

ढाल (-(p-1)) है और कमी (5(p-1)=35) होगी। इसलिए (p-1=7) और (p=8) है।

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Question 137/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

समीकरण (7y-4x=21) में (x=0) पर (y) का मान और ढाल क्या हैं?

In (7y-4x=21), what are the value of (y) at (x=0) and the slope?

Explanation opens after your attempt

Correct Answer

A. (y=3), ढाल \(\frac{4}{7}\)(y=3), slope \(\frac{4}{7}\)

Step 1

Concept

From (7y=4x+21), \(y=\frac{4}{7}x+3\). So at (x=0), (y=3) and the slope is \(\frac{4}{7}\).

Step 2

Why this answer is correct

The correct answer is A. (y=3), ढाल \(\frac{4}{7}\) / (y=3), slope \(\frac{4}{7}\). From (7y=4x+21), \(y=\frac{4}{7}x+3\). So at (x=0), (y=3) and the slope is \(\frac{4}{7}\).

Step 3

Exam Tip

(7y=4x+21) से \(y=\frac{4}{7}x+3\) मिलता है। इसलिए (x=0) पर (y=3) और ढाल \(\frac{4}{7}\) है।

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Question 138/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि (y=mx+c) में (m+c=15) और (c=6), तो ढाल क्या है?

If (m+c=15) and (c=6) in (y=mx+c), what is the slope?

Explanation opens after your attempt

Correct Answer

D. (9)

Step 1

Concept

Putting (c=6) gives (m+6=15). Therefore (m=9), which is the slope.

Step 2

Why this answer is correct

The correct answer is D. (9). Putting (c=6) gives (m+6=15). Therefore (m=9), which is the slope.

Step 3

Exam Tip

(c=6) रखने पर (m+6=15) मिलता है। इसलिए (m=9), जो ढाल है।

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Question 139/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि (y=mx+c) में ढाल (-5) है और (m+c=2), तो (y)-अवरोध क्या है?

If the slope is (-5) and (m+c=2) in (y=mx+c), what is the (y)-intercept?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

Slope (-5) gives (m=-5). From (-5+c=2), (c=7), which is the (y)-intercept.

Step 2

Why this answer is correct

The correct answer is C. (7). Slope (-5) gives (m=-5). From (-5+c=2), (c=7), which is the (y)-intercept.

Step 3

Exam Tip

ढाल (-5) से (m=-5) है। (-5+c=2) से (c=7), जो (y)-अवरोध है।

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Question 140/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

रेखा \(y=\frac{3}{4}x+c\) बिंदु ( (8,10) ) से गुजरती है। (c) क्या है?

The line \(y=\frac{3}{4}x+c\) passes through ( (8,10) ). What is (c)?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

Substituting the point gives (10=\frac{3}{4}(8)+c). So (10=6+c) and (c=4).

Step 2

Why this answer is correct

The correct answer is C. (4). Substituting the point gives (10=\frac{3}{4}(8)+c). So (10=6+c) and (c=4).

Step 3

Exam Tip

बिंदु रखने पर (10=\frac{3}{4}(8)+c) मिलता है। इसलिए (10=6+c) और (c=4) है।

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Question 141/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

रेखा (y=mx-4) बिंदु ( (10,1) ) से गुजरती है। (m) क्या है?

The line (y=mx-4) passes through ( (10,1) ). What is (m)?

Explanation opens after your attempt

Correct Answer

A. \(\frac{1}{2}\)

Step 1

Concept

Substituting the point gives (1=10m-4). Thus (10m=5) and \(m=\frac{1}{2}\).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{1}{2}\). Substituting the point gives (1=10m-4). Thus (10m=5) and \(m=\frac{1}{2}\).

Step 3

Exam Tip

बिंदु रखने पर (1=10m-4) मिलता है। इससे (10m=5) और \(m=\frac{1}{2}\) है।

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Question 142/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि (y=(4a-1)x+(a+2)) का (y)-अवरोध (9) है, तो ढाल क्या है?

If (y=(4a-1)x+(a+2)) has (y)-intercept (9), what is the slope?

Explanation opens after your attempt

Correct Answer

C. (27)

Step 1

Concept

From (a+2=9), (a=7). The slope is (4a-1=27).

Step 2

Why this answer is correct

The correct answer is C. (27). From (a+2=9), (a=7). The slope is (4a-1=27).

Step 3

Exam Tip

(a+2=9) से (a=7) मिलता है। ढाल (4a-1=27) है।

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Question 143/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि (y=(b-9)x+(3b-2)) की ढाल (1) है, तो (y)-अवरोध क्या है?

If (y=(b-9)x+(3b-2)) has slope (1), what is the (y)-intercept?

Explanation opens after your attempt

Correct Answer

B. (28)

Step 1

Concept

From (b-9=1), (b=10). The (y)-intercept is (3b-2=28).

Step 2

Why this answer is correct

The correct answer is B. (28). From (b-9=1), (b=10). The (y)-intercept is (3b-2=28).

Step 3

Exam Tip

(b-9=1) से (b=10) मिलता है। (y)-अवरोध (3b-2=28) है।

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Question 144/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

समीकरण (3x-4y+12=0) की ढाल और (y)-अवरोध क्या हैं?

What are the slope and (y)-intercept of (3x-4y+12=0)?

Explanation opens after your attempt

Correct Answer

A. ढाल \(\frac{3}{4}\), (y)-अवरोध (3)Slope \(\frac{3}{4}\), (y)-intercept (3)

Step 1

Concept

From (-4y=-3x-12), \(y=\frac{3}{4}x+3\). So the slope is \(\frac{3}{4}\) and the (y)-intercept is (3).

Step 2

Why this answer is correct

The correct answer is A. ढाल \(\frac{3}{4}\), (y)-अवरोध (3) / Slope \(\frac{3}{4}\), (y)-intercept (3). From (-4y=-3x-12), \(y=\frac{3}{4}x+3\). So the slope is \(\frac{3}{4}\) and the (y)-intercept is (3).

Step 3

Exam Tip

(-4y=-3x-12) से \(y=\frac{3}{4}x+3\) मिलता है। इसलिए ढाल \(\frac{3}{4}\) और (y)-अवरोध (3) है।

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Question 145/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि (y=(t+2)x-6) और (y=9x+(2t-1)) की ढालें समान हैं, तो दूसरी रेखा का (y)-अवरोध क्या है?

If (y=(t+2)x-6) and (y=9x+(2t-1)) have equal slopes, what is the (y)-intercept of the second line?

Explanation opens after your attempt

Correct Answer

B. (13)

Step 1

Concept

Equal slopes give (t+2=9) and (t=7). The second line's (y)-intercept is (2t-1=13).

Step 2

Why this answer is correct

The correct answer is B. (13). Equal slopes give (t+2=9) and (t=7). The second line's (y)-intercept is (2t-1=13).

Step 3

Exam Tip

समान ढाल से (t+2=9) और (t=7) है। दूसरी रेखा का (y)-अवरोध (2t-1=13) है।

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Question 146/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि (y=3x+(v-5)) और (y=(v+2)x+6) का (y)-अवरोध समान है, तो दूसरी रेखा की ढाल क्या है?

If (y=3x+(v-5)) and (y=(v+2)x+6) have the same (y)-intercept, what is the slope of the second line?

Explanation opens after your attempt

Correct Answer

C. (13)

Step 1

Concept

Equal (y)-intercepts give (v-5=6) and (v=11). The slope of the second line is (v+2=13).

Step 2

Why this answer is correct

The correct answer is C. (13). Equal (y)-intercepts give (v-5=6) and (v=11). The slope of the second line is (v+2=13).

Step 3

Exam Tip

समान (y)-अवरोध से (v-5=6) और (v=11) है। दूसरी रेखा की ढाल (v+2=13) है।

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Question 147/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

रेखा \(y=-\frac{4}{3}x+12\) में (y) को (28) घटाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=-\frac{4}{3}x+12\), how much should (x) increase to decrease (y) by (28)?

Explanation opens after your attempt

Correct Answer

D. (21)

Step 1

Concept

The decrease is \(\frac{4}{3}\Delta x\). From \(\frac{4}{3}\Delta x=28\), \(\Delta x=21\).

Step 2

Why this answer is correct

The correct answer is D. (21). The decrease is \(\frac{4}{3}\Delta x\). From \(\frac{4}{3}\Delta x=28\), \(\Delta x=21\).

Step 3

Exam Tip

कमी \(\frac{4}{3}\Delta x\) होगी। \(\frac{4}{3}\Delta x=28\) से \(\Delta x=21\) मिलता है।

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Question 148/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि (y=(k+5)x+3) (x) के (3) बढ़ने पर (y) (27) बढ़ाती है, तो (k) क्या है?

If (y=(k+5)x+3) increases (y) by (27) when (x) increases by (3), what is (k)?

Explanation opens after your attempt

Correct Answer

B. (4)

Step 1

Concept

The slope is (k+5) and (3(k+5)=27). Therefore (k+5=9) and (k=4).

Step 2

Why this answer is correct

The correct answer is B. (4). The slope is (k+5) and (3(k+5)=27). Therefore (k+5=9) and (k=4).

Step 3

Exam Tip

ढाल (k+5) है और (3(k+5)=27)। इसलिए (k+5=9) और (k=4) है।

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Question 149/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि (y=mx+c) में (c=-9) और (m-c=16), तो ढाल क्या है?

If (c=-9) and (m-c=16) in (y=mx+c), what is the slope?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

Putting (c=-9) gives (m-(-9)=16). So (m+9=16) and (m=7).

Step 2

Why this answer is correct

The correct answer is C. (7). Putting (c=-9) gives (m-(-9)=16). So (m+9=16) and (m=7).

Step 3

Exam Tip

(c=-9) रखने पर (m-(-9)=16) मिलता है। इसलिए (m+9=16) और (m=7) है।

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Question 150/150 Hard Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 41

यदि (y=mx+c) में (m=-3) और (3c+m=18), तो (y)-अवरोध क्या है?

If (m=-3) and (3c+m=18) in (y=mx+c), what is the (y)-intercept?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

Putting (m=-3) gives (3c-3=18). Thus (3c=21) and (c=7).

Step 2

Why this answer is correct

The correct answer is C. (7). Putting (m=-3) gives (3c-3=18). Thus (3c=21) and (c=7).

Step 3

Exam Tip

(m=-3) रखने पर (3c-3=18) मिलता है। इससे (3c=21) और (c=7) है।

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Class 9 Mathematics - Introduction to Polynomials - Slope and y-intercept Hard Quiz

समीकरण (6x+3y=18) को (y=mx+c) रूप में लिखने पर ढाल और (y)-अवरोध क्या होंगे?

Concept

Why this answer is correct

Exam Tip

यदि रेखा (y=(k-3)x+8) की ढाल (5) है, तो (k) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

रेखा (y=4x+c) बिंदु ( (3,19) ) से गुजरती है। इसका (y)-अवरोध क्या है?

Concept

Why this answer is correct

Exam Tip

रेखा (y=mx-6) बिंदु ( (4,10) ) से गुजरती है। इसकी ढाल क्या है?

Concept

Why this answer is correct

Exam Tip

समीकरण (2x-5y=20) की ढाल क्या है?

Concept

Why this answer is correct

Exam Tip

समीकरण (3x+2y=14) का (y)-अवरोध क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (ay=12x-18) की ढाल (4) है, तो (a) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (5y=px+25) का (y)-अवरोध (5) है, तो कौन सा कथन सही है?

Concept

Why this answer is correct

Exam Tip

रेखा (y=(2a-1)x+3) की ढाल (7) है। (a) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (y=-3x+b) बिंदु ( (5,-4) ) से गुजरती है, तो (b) क्या है?

Concept

Why this answer is correct

Exam Tip

समीकरण (4y=8x-28) में ढाल और (y)-अवरोध क्या हैं?

Concept

Why this answer is correct

Exam Tip

समीकरण (7x+2y=10) की ढाल क्या है?

Concept

Why this answer is correct

Exam Tip

समीकरण (5x-3y=12) का (y)-अवरोध क्या है?

Concept

Why this answer is correct

Exam Tip

यदि रेखा (y=(3k+2)x-5) की ढाल (11) है, तो (k) क्या है?

Concept

Why this answer is correct

Exam Tip

रेखा (y=-2x+c) बिंदु ( (6,-1) ) से गुजरती है। इसका (y)-अवरोध क्या है?

Concept

Why this answer is correct

Exam Tip

रेखा (y=mx+9) बिंदु ( (-2,3) ) से गुजरती है। इसकी ढाल क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (2y=(a-4)x+16) की ढाल (3) है, तो (a) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (ky=15x-30) का (y)-अवरोध (-6) है, तो (k) क्या है?

Concept

Why this answer is correct

Exam Tip

रेखा \(y=\frac{3}{4}x-8\) में (x) (4) से (16) तक बढ़े, तो (y) में कुल परिवर्तन क्या होगा?

Concept

Why this answer is correct

Exam Tip

रेखा \(y=-\frac{5}{6}x+20\) में (x) (0) से (18) तक बढ़े, तो (y) में कुल परिवर्तन क्या होगा?

Concept

Why this answer is correct

यदि (y=(m^-1)x+6) और (y=2x-8) की ढालें समान हैं, तो (m) क्या है?