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Mathematics Quiz - Class 9 Mathematics Hard Level 39 Quiz

Question 1/50 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 2/50 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 3/50 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 4/50 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 5/50 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 6/50 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 7/50 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 8/50 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 9/50 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 10/50 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 11/50 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 12/50 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 13/50 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 14/50 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 15/50 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 16/50 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 17/50 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 18/50 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 19/50 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 20/50 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 21/50 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 22/50 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 23/50 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 24/50 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 25/50 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 26/50 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 27/50 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 28/50 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 29/50 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 30/50 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 31/50 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 32/50 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 33/50 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 34/50 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 35/50 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 36/50 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 37/50 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 38/50 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 39/50 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 40/50 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 41/50 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 42/50 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 43/50 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 44/50 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 45/50 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 46/50 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 47/50 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 48/50 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 49/50 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 50/50 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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Class 9 Mathematics 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?

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

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समीकरण (7x+2y=10) की ढाल क्या है?

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

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

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

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

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

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

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

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

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