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Class 9 Mathematics - Introduction to Polynomials - Slope and y-intercept Hard Quiz

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

Level 39 • 50/50 questions • 30 seconds per question.

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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)

Explanation

Simple Explanation

(3y=-6x+18) से (y=-2x+6) मिलता है। (x) का गुणांक ढाल और स्थिर पद (y)-अवरोध होता है। / From (3y=-6x+18), (y=-2x+6). The coefficient of (x) is slope and the constant term is the (y)-intercept.

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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)

Explanation

Simple Explanation

ढाल (x) का गुणांक है, इसलिए (k-3=5)। इससे (k=8) मिलता है। / The slope is the coefficient of (x), so (k-3=5). This gives (k=8).

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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)

Explanation

Simple Explanation

बिंदु रखने पर (19=4(3)+c) मिलता है। इसलिए (c=7), जो (y)-अवरोध है। / Substituting the point gives (19=4(3)+c). Therefore (c=7), which is the (y)-intercept.

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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)

Explanation

Simple Explanation

बिंदु रखने पर (10=4m-6) मिलता है। इससे (4m=16) और (m=4) है। / Substituting the point gives (10=4m-6). Thus (4m=16) and (m=4).

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

Explanation

Simple Explanation

(2x-5y=20) से \(y=\frac{2}{5}x-4\) मिलता है। इसलिए ढाल \(\frac{2}{5}\) है। / From (2x-5y=20), we get \(y=\frac{2}{5}x-4\). Therefore the slope is \(\frac{2}{5}\).

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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)

Explanation

Simple Explanation

(x=0) रखने पर (2y=14), इसलिए (y=7)। यही (y)-अवरोध है। / Putting (x=0) gives (2y=14), so (y=7). This is the (y)-intercept.

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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)

Explanation

Simple Explanation

\(y=\frac{12}{a}x-\frac{18}{a}\) होगा, इसलिए ढाल \(\frac{12}{a}\) है। \(\frac{12}{a}=4\) से (a=3) मिलता है। / \(y=\frac{12}{a}x-\frac{18}{a}\), so the slope is \(\frac{12}{a}\). From \(\frac{12}{a}=4\), (a=3).

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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)

Explanation

Simple Explanation

(5) से भाग देने पर \(y=\frac{p}{5}x+5\) मिलता है। स्थिर पद (5) है, इसलिए (p) कोई भी हो सकता है। / Dividing by (5) gives \(y=\frac{p}{5}x+5\). The constant term is (5), so (p) can be any value.

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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)

Explanation

Simple Explanation

ढाल (2a-1) है। (2a-1=7) से (2a=8) और (a=4) मिलता है। / The slope is (2a-1). From (2a-1=7), (2a=8) and (a=4).

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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)

Explanation

Simple Explanation

बिंदु रखने पर (-4=-3(5)+b) मिलता है। इसलिए (b=11) नहीं, (b=11) होता है; सही विकल्प (A) होना चाहिए। / Substituting the point gives (-4=-3(5)+b). Therefore (b=11); option (A) is correct.

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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)

Explanation

Simple Explanation

(4) से भाग देने पर (y=2x-7) मिलता है। इसलिए ढाल (2) और (y)-अवरोध (-7) है। / Dividing by (4) gives (y=2x-7). So the slope is (2) and the (y)-intercept is (-7).

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

Explanation

Simple Explanation

(2y=-7x+10) से \(y=-\frac{7}{2}x+5\) मिलता है। इसलिए ढाल \(-\frac{7}{2}\) है। / From (2y=-7x+10), \(y=-\frac{7}{2}x+5\). Therefore the slope is \(-\frac{7}{2}\).

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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 )

Explanation

Simple Explanation

(x=0) रखने पर (-3y=12) और (y=-4) मिलता है। इसलिए (y)-अवरोध (-4) है। / Putting (x=0) gives (-3y=12) and (y=-4). Therefore the (y)-intercept is (-4).

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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)

Explanation

Simple Explanation

ढाल (3k+2) है। (3k+2=11) से (k=3) मिलता है। / The slope is (3k+2). From (3k+2=11), (k=3).

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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)

Explanation

Simple Explanation

बिंदु रखने पर (-1=-2(6)+c) मिलता है। इसलिए (c=11), जो (y)-अवरोध है। / Substituting the point gives (-1=-2(6)+c). Therefore (c=11), the (y)-intercept.

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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)

Explanation

Simple Explanation

बिंदु रखने पर (3=-2m+9) मिलता है। इससे (-2m=-6) और (m=3) है। / Substituting the point gives (3=-2m+9). Thus (-2m=-6) and (m=3).

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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)

Explanation

Simple Explanation

\(y=\frac{a-4}{2}x+8\) होगा, इसलिए ढाल \(\frac{a-4}{2}\) है। \(\frac{a-4}{2}=3\) से (a=10) मिलता है। / \(y=\frac{a-4}{2}x+8\), so the slope is \(\frac{a-4}{2}\). From \(\frac{a-4}{2}=3\), (a=10).

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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)

Explanation

Simple Explanation

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

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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)

Explanation

Simple Explanation

(x) में परिवर्तन (16-4=12) है। (y) का परिवर्तन \(\frac{3}{4}\times12=9\) है। / The change in (x) is (16-4=12). The change in (y) is \(\frac{3}{4}\times12=9\).

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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)

Explanation

Simple Explanation

(x) में परिवर्तन (18) है। (y) का परिवर्तन \(-\frac{5}{6}\times18=-15\) है। / The change in (x) is (18). The change in (y) is \(-\frac{5}{6}\times18=-15\).

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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)

Explanation

Simple Explanation

(3y=-9x+27) से (y=-3x+9) मिलता है। इसलिए ढाल (-3) और (y)-अवरोध (9) है। / From (3y=-9x+27), (y=-3x+9). Therefore the slope is (-3) and the (y)-intercept is (9).

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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)

Explanation

Simple Explanation

(x=0) रखने पर (-8y+16=0) मिलता है। इससे (y=2), इसलिए (y)-अवरोध (2) है। / Putting (x=0) gives (-8y+16=0). Thus (y=2), so the (y)-intercept is (2).

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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)

Explanation

Simple Explanation

समान ढाल के लिए (p+1=6) होना चाहिए। इससे (p=5) मिलता है। / For equal slopes, (p+1=6). This gives (p=5).

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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)

Explanation

Simple Explanation

पहली रेखा का (y)-अवरोध (q) और दूसरी का (-2) है। समान होने पर (q=-2) होगा। / The first line has (y)-intercept (q), and the second has (-2). If they are equal, (q=-2).

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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)

Explanation

Simple Explanation

मूल बिंदु से गुजरने के लिए (y)-अवरोध (0) होना चाहिए। इसलिए (r+1=0) से (r=-1) मिलता है। / To pass through the origin, the (y)-intercept must be (0). Thus (r+1=0), so (r=-1).

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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

Explanation

Simple Explanation

ढाल (a-2) और (y)-अवरोध (a) है। (a-2=a) असंभव है, इसलिए कोई मान नहीं। / The slope is (a-2) and the (y)-intercept is (a). (a-2=a) is impossible, so there is no value.

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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)

Explanation

Simple Explanation

पहले बिंदु से (5=2(1)+b) मिलता है। इसलिए (b=3), और दूसरा बिंदु भी इसे संतुष्ट करता है। / From the first point, (5=2(1)+b). So (b=3), and the second point also satisfies it.

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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)

Explanation

Simple Explanation

दोनों बिंदुओं से ढाल \(\frac{19-10}{5-2}=3\) है। इसलिए (m=3) है। / The slope from the two points is \(\frac{19-10}{5-2}=3\). Therefore (m=3).

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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 )

Explanation

Simple Explanation

समान (y)-अवरोध के लिए (-4=k-1) होगा। इससे (k=-3) मिलता है। / For equal (y)-intercepts, (-4=k-1). This gives (k=-3).

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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)?

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Correct Answer

C. (3)

Explanation

Simple Explanation

समान ढाल के लिए (m-1=2) होना चाहिए। इसलिए (m=3) है। / For equal slopes, (m-1=2). Therefore (m=3).

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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)?

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Correct Answer

B. (7)

Explanation

Simple Explanation

ढाल (-3) है, इसलिए कमी \(3\Delta x\) होगी। \(3\Delta x=21\) से \(\Delta x=7\) मिलता है। / The slope is (-3), so the decrease is \(3\Delta x\). From \(3\Delta x=21\), \(\Delta x=7\).

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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)

Explanation

Simple Explanation

परिवर्तन \(\frac{5}{2}\Delta x=20\) होगा। इससे \(\Delta x=8\) मिलता है। / The change is \(\frac{5}{2}\Delta x=20\). This gives \(\Delta x=8\).

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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?

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Correct Answer

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

Explanation

Simple Explanation

(p=-4) ऋणात्मक ढाल देता है और (q=9) धनात्मक (y)-अवरोध देता है। इसलिए रेखा घटती है। / (p=-4) gives a negative slope and (q=9) gives a positive (y)-intercept. So the line decreases.

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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)

Explanation

Simple Explanation

(x=0) रखने पर (ay=16) और \(y=\frac{16}{a}\) मिलता है। \(\frac{16}{a}=4\) से (a=4) है। / Putting (x=0) gives (ay=16) and \(y=\frac{16}{a}\). From \(\frac{16}{a}=4\), (a=4).

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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)?

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Correct Answer

C. (12)

Explanation

Simple Explanation

(4y=-bx+20) से ढाल \(-\frac{b}{4}\) है। \(-\frac{b}{4}=-3\) से (b=12) मिलता है। / From (4y=-bx+20), the slope is \(-\frac{b}{4}\). From \(-\frac{b}{4}=-3\), (b=12).

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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?

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Correct Answer

A. (0)

Explanation

Simple Explanation

(2n+1=11) से (n=5) मिलता है। ढाल (n-5=0) है। / From (2n+1=11), (n=5). The slope is (n-5=0).

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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?

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Correct Answer

A. ( -5 )

Explanation

Simple Explanation

(r+4=1) से (r=-3) मिलता है। (y)-अवरोध (r-2=-5) है। / From (r+4=1), (r=-3). The (y)-intercept is (r-2=-5).

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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)

Explanation

Simple Explanation

ढाल \(\frac{10}{2}=5\) है और (y)-अवरोध (-6) है। इसलिए रेखा (y=5x-6) है। / The slope is \(\frac{10}{2}=5\) and the (y)-intercept is (-6). So the line is (y=5x-6).

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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)

Explanation

Simple Explanation

ढाल \(-\frac{12}{3}=-4\) है और (y)-अवरोध (9) है। इसलिए (y=-4x+9) सही है। / The slope is \(-\frac{12}{3}=-4\) and the (y)-intercept is (9). So (y=-4x+9) is correct.

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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)

Explanation

Simple Explanation

मूल बिंदु से गुजरने के लिए (a-7=0) होगा। इसलिए (a=7) और ढाल (a+1=8) है। / To pass through the origin, (a-7=0). Thus (a=7) and the slope is (a+1=8).

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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?

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Correct Answer

A. (9)

Explanation

Simple Explanation

(t+4=10) से (t=6) मिलता है। ढाल (2t-3=9) है। / From (t+4=10), (t=6). The slope is (2t-3=9).

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

Explanation

Simple Explanation

(5y=-2x+25) से \(y=-\frac{2}{5}x+5\) मिलता है। इसलिए (y)-अवरोध (5) और ढाल \(-\frac{2}{5}\) है। / From (5y=-2x+25), \(y=-\frac{2}{5}x+5\). So the (y)-intercept is (5) and slope is \(-\frac{2}{5}\).

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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)

Explanation

Simple Explanation

एक ही (y)-अक्ष बिंदु का अर्थ समान (y)-अवरोध है। इसलिए (b=4) है। / The same (y)-axis point means equal (y)-intercepts. Therefore (b=4).

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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)

Explanation

Simple Explanation

समान ढाल से (a=4) है। (x=2) रखने पर (y=4(2)-5=3) है। / Equal slopes give (a=4). Putting (x=2), (y=4(2)-5=3).

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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)

Explanation

Simple Explanation

(y)-अवरोध (3) से (c=3) है। (x=-2) रखने पर (y=-7(-2)+3=17) है। / The (y)-intercept (3) gives (c=3). Putting (x=-2), (y=-7(-2)+3=17).

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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)

Explanation

Simple Explanation

ढाल (k-2) है और (4(k-2)=28)। इससे (k-2=7) और (k=9) मिलता है। / The slope is (k-2) and (4(k-2)=28). Thus (k-2=7) and (k=9).

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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)

Explanation

Simple Explanation

ढाल (-(p+1)) है और कमी (3(p+1)=15) होगी। इसलिए (p+1=5) और (p=4) है। / The slope is (-(p+1)), and the decrease is (3(p+1)=15). So (p+1=5) and (p=4).

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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?

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Correct Answer

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

Explanation

Simple Explanation

(3y=2x+12) से \(y=\frac{2}{3}x+4\) मिलता है। इसलिए (x=0) पर (y=4) और ढाल \(\frac{2}{3}\) है। / From (3y=2x+12), \(y=\frac{2}{3}x+4\). So at (x=0), (y=4) and the slope is \(\frac{2}{3}\).

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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)

Explanation

Simple Explanation

(c=4) रखने पर (m+4=10) मिलता है। इसलिए (m=6), जो ढाल है। / Putting (c=4) gives (m+4=10). Therefore (m=6), which is the slope.

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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)

Explanation

Simple Explanation

ढाल (-3) से (m=-3) है। (-3+c=5) से (c=8), जो (y)-अवरोध है। / Slope (-3) gives (m=-3). From (-3+c=5), (c=8), which is the (y)-intercept.

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