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

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

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Question 1/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

समीकरण (12x+4y=32) को (y=mx+c) रूप में लिखने पर ढाल और (y)-अवरोध क्या होंगे?

When (12x+4y=32) 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)

Explanation

Simple Explanation

(4y=-12x+32) से (y=-3x+8) मिलता है। (x) का गुणांक ढाल और स्थिर पद (y)-अवरोध होता है। / From (4y=-12x+32), (y=-3x+8). The coefficient of (x) is slope and the constant term is the (y)-intercept.

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Question 2/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि रेखा (y=(2k-5)x+7) की ढाल (13) है, तो (k) क्या है?

If the line (y=(2k-5)x+7) has slope (13), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

ढाल (2k-5) है। (2k-5=13) से (k=9) मिलता है। / The slope is (2k-5). From (2k-5=13), (k=9).

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Question 3/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

समीकरण (5y=15x-40) का (y)-अवरोध क्या है?

What is the (y)-intercept of (5y=15x-40)?

Explanation opens after your attempt
Correct Answer

B. (-8)

Explanation

Simple Explanation

(5) से भाग देने पर (y=3x-8) मिलता है। स्थिर पद (-8) (y)-अवरोध है। / Dividing by (5) gives (y=3x-8). The constant term (-8) is the (y)-intercept.

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Question 4/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

रेखा (y=-5x+c) बिंदु ( (4,-11) ) से गुजरती है। इसका (y)-अवरोध क्या है?

The line (y=-5x+c) passes through ( (4,-11) ). What is its (y)-intercept?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

बिंदु रखने पर (-11=-5(4)+c) मिलता है। इसलिए (c=9), जो (y)-अवरोध है। / Substituting the point gives (-11=-5(4)+c). Therefore (c=9), which is the (y)-intercept.

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Question 5/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

रेखा (y=mx-9) बिंदु ( (-3,6) ) से गुजरती है। इसकी ढाल क्या है?

The line (y=mx-9) passes through ( (-3,6) ). What is its slope?

Explanation opens after your attempt
Correct Answer

B. (-5)

Explanation

Simple Explanation

बिंदु रखने पर (6=-3m-9) मिलता है। इससे (-3m=15) और (m=-5) है। / Substituting the point gives (6=-3m-9). Thus (-3m=15) and (m=-5).

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Question 6/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

समीकरण (7x-2y=18) की ढाल क्या है?

What is the slope of (7x-2y=18)?

Explanation opens after your attempt
Correct Answer

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

Explanation

Simple Explanation

(7x-2y=18) से \(y=\frac{7}{2}x-9\) मिलता है। इसलिए ढाल \(\frac{7}{2}\) है। / From (7x-2y=18), \(y=\frac{7}{2}x-9\). Therefore the slope is \(\frac{7}{2}\).

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Question 7/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (ay=30x-45) की ढाल (5) है, तो (a) का मान क्या है?

If (ay=30x-45) has slope (5), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

B. (6)

Explanation

Simple Explanation

\(y=\frac{30}{a}x-\frac{45}{a}\) होगा। \(\frac{30}{a}=5\) से (a=6) मिलता है। / \(y=\frac{30}{a}x-\frac{45}{a}\). From \(\frac{30}{a}=5\), (a=6).

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Question 8/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (ky=24x-72) का (y)-अवरोध (-12) है, तो (k) क्या है?

If (ky=24x-72) has (y)-intercept (-12), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (6)

Explanation

Simple Explanation

\(y=\frac{24}{k}x-\frac{72}{k}\) होगा। \(-\frac{72}{k}=-12\) से (k=6) मिलता है। / \(y=\frac{24}{k}x-\frac{72}{k}\). From \(-\frac{72}{k}=-12\), (k=6).

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

रेखा (y=(3p+1)x-4) की ढाल (22) है। (p) क्या होगा?

The line (y=(3p+1)x-4) has slope (22). What will (p) be?

Explanation opens after your attempt
Correct Answer

C. (7)

Explanation

Simple Explanation

ढाल (3p+1) है। (3p+1=22) से (p=7) मिलता है। / The slope is (3p+1). From (3p+1=22), (p=7).

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Question 10/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=(r+6)x+(r-3)) मूल बिंदु से गुजरती है, तो इसकी ढाल क्या होगी?

If (y=(r+6)x+(r-3)) passes through the origin, what will be its slope?

Explanation opens after your attempt
Correct Answer

B. (9)

Explanation

Simple Explanation

मूल बिंदु से गुजरने के लिए (r-3=0) होगा। इसलिए (r=3) और ढाल (r+6=9) है। / To pass through the origin, (r-3=0). Thus (r=3) and the slope is (r+6=9).

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Question 11/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

समीकरण (15x+5y-50=0) में ढाल और (y)-अवरोध क्या हैं?

What are the slope and (y)-intercept in (15x+5y-50=0)?

Explanation opens after your attempt
Correct Answer

A. ढाल (-3), (y)-अवरोध (10)Slope (-3), (y)-intercept (10)

Explanation

Simple Explanation

(5y=-15x+50) से (y=-3x+10) मिलता है। इसलिए ढाल (-3) और (y)-अवरोध (10) है। / From (5y=-15x+50), (y=-3x+10). So the slope is (-3) and the (y)-intercept is (10).

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Question 12/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

समीकरण (6x-3y+15=0) का (y)-अवरोध क्या है?

What is the (y)-intercept of (6x-3y+15=0)?

Explanation opens after your attempt
Correct Answer

A. (5)

Explanation

Simple Explanation

(x=0) रखने पर (-3y+15=0) मिलता है। इससे (y=5), इसलिए (y)-अवरोध (5) है। / Putting (x=0) gives (-3y+15=0). Thus (y=5), so the (y)-intercept is (5).

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Question 13/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि दो रेखाएं (y=(q-4)x+11) और (y=8x-5) समान ढाल रखती हैं, तो (q) क्या है?

If the two lines (y=(q-4)x+11) and (y=8x-5) have the same slope, what is (q)?

Explanation opens after your attempt
Correct Answer

D. (12)

Explanation

Simple Explanation

समान ढाल के लिए (q-4=8) होना चाहिए। इससे (q=12) मिलता है। / For equal slopes, (q-4=8). This gives (q=12).

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Question 14/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=-8x+s) और (y=5x-13) का (y)-अवरोध समान है, तो (s) क्या होगा?

If (y=-8x+s) and (y=5x-13) have the same (y)-intercept, what will (s) be?

Explanation opens after your attempt
Correct Answer

A. (-13)

Explanation

Simple Explanation

पहली रेखा का (y)-अवरोध (s) और दूसरी का (-13) है। समान होने पर (s=-13) होगा। / The first line has (y)-intercept (s), and the second has (-13). If they are equal, (s=-13).

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Question 15/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=(a+5)x+a) में ढाल और (y)-अवरोध का अंतर (5) है, तो कौन सा कथन सही है?

If in (y=(a+5)x+a), the difference between slope and (y)-intercept is (5), which statement is correct?

Explanation opens after your attempt
Correct Answer

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

Explanation

Simple Explanation

ढाल (a+5) और (y)-अवरोध (a) है। उनका अंतर ((a+5)-a=5) हर (a) के लिए है। / The slope is (a+5) and the (y)-intercept is (a). Their difference ((a+5)-a=5) holds for every (a).

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Question 16/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

रेखा (y=5x+b) बिंदुओं ( (1,12) ) और ( (4,27) ) से गुजरती है। (b) क्या है?

The line (y=5x+b) passes through ( (1,12) ) and ( (4,27) ). What is (b)?

Explanation opens after your attempt
Correct Answer

C. (7)

Explanation

Simple Explanation

पहले बिंदु से (12=5(1)+b) मिलता है। इसलिए (b=7), और दूसरा बिंदु भी सही बैठता है। / From the first point, (12=5(1)+b). So (b=7), and the second point also fits.

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Question 17/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

रेखा (y=mx+2) बिंदुओं ( (3,17) ) और ( (6,32) ) से गुजरती है। (m) क्या है?

The line (y=mx+2) passes through ( (3,17) ) and ( (6,32) ). What is (m)?

Explanation opens after your attempt
Correct Answer

C. (5)

Explanation

Simple Explanation

दोनों बिंदुओं से ढाल \(\frac{32-17}{6-3}=5\) है। इसलिए (m=5) है। / The slope from the two points is \(\frac{32-17}{6-3}=5\). Therefore (m=5).

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Question 18/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=(k-7)x+6) और (y=4x+(k-1)) की ढालें समान हैं, तो (k) क्या है?

If (y=(k-7)x+6) and (y=4x+(k-1)) have equal slopes, what is (k)?

Explanation opens after your attempt
Correct Answer

C. (11)

Explanation

Simple Explanation

समान ढाल के लिए (k-7=4) होगा। इससे (k=11) मिलता है। / For equal slopes, (k-7=4). This gives (k=11).

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Question 19/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=(m+1)x-6) और (y=7x+(m-10)) का (y)-अवरोध समान है, तो (m) क्या है?

If (y=(m+1)x-6) and (y=7x+(m-10)) have the same (y)-intercept, what is (m)?

Explanation opens after your attempt
Correct Answer

C. (4)

Explanation

Simple Explanation

समान (y)-अवरोध के लिए (-6=m-10) होगा। इससे (m=4) मिलता है। / For equal (y)-intercepts, (-6=m-10). This gives (m=4).

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Question 20/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

रेखा (y=-6x+20) में (x) कितने बढ़ाने पर (y) (42) घटेगा?

In the line (y=-6x+20), by how much must (x) increase for (y) to decrease by (42)?

Explanation opens after your attempt
Correct Answer

B. (7)

Explanation

Simple Explanation

ढाल (-6) है, इसलिए कमी \(6\Delta x\) होगी। \(6\Delta x=42\) से \(\Delta x=7\) है। / The slope is (-6), so the decrease is \(6\Delta x\). From \(6\Delta x=42\), \(\Delta x=7\).

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Question 21/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

रेखा \(y=\frac{5}{4}x-9\) में (y) को (25) बढ़ाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=\frac{5}{4}x-9\), how much should (x) increase to increase (y) by (25)?

Explanation opens after your attempt
Correct Answer

C. (20)

Explanation

Simple Explanation

परिवर्तन \(\frac{5}{4}\Delta x=25\) होगा। इससे \(\Delta x=20\) मिलता है। / The change is \(\frac{5}{4}\Delta x=25\). This gives \(\Delta x=20\).

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Question 22/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=px+q) में (p=-7) और (q=6), तो सही कथन कौन सा है?

If (p=-7) and (q=6) 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 the (y)-intercept is positive

Explanation

Simple Explanation

(p=-7) ऋणात्मक ढाल देता है और (q=6) धनात्मक (y)-अवरोध देता है। इसलिए रेखा घटती है। / (p=-7) gives a negative slope and (q=6) gives a positive (y)-intercept. So the line decreases.

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Question 23/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (4x+ay=36) का (y)-अवरोध (9) है, तो (a) क्या है?

If (4x+ay=36) has (y)-intercept (9), what is (a)?

Explanation opens after your attempt
Correct Answer

C. (4)

Explanation

Simple Explanation

(x=0) रखने पर (ay=36) और \(y=\frac{36}{a}\) मिलता है। \(\frac{36}{a}=9\) से (a=4) है। / Putting (x=0) gives (ay=36) and \(y=\frac{36}{a}\). From \(\frac{36}{a}=9\), (a=4).

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Question 24/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (bx+9y=54) की ढाल (-2) है, तो (b) क्या है?

If (bx+9y=54) has slope (-2), what is (b)?

Explanation opens after your attempt
Correct Answer

C. (18)

Explanation

Simple Explanation

(9y=-bx+54) से ढाल \(-\frac{b}{9}\) है। \(-\frac{b}{9}=-2\) से (b=18) है। / From (9y=-bx+54), the slope is \(-\frac{b}{9}\). From \(-\frac{b}{9}=-2\), (b=18).

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Question 25/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

रेखा (y=(n-6)x+(3n-2)) का (y)-अवरोध (19) है। इसकी ढाल क्या है?

The line (y=(n-6)x+(3n-2)) has (y)-intercept (19). What is its slope?

Explanation opens after your attempt
Correct Answer

A. (1)

Explanation

Simple Explanation

(3n-2=19) से (n=7) मिलता है। ढाल (n-6=1) है। / From (3n-2=19), (n=7). The slope is (n-6=1).

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Question 26/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

रेखा (y=(t-9)x+(2t+1)) की ढाल (3) है। इसका (y)-अवरोध क्या है?

The line (y=(t-9)x+(2t+1)) has slope (3). What is its (y)-intercept?

Explanation opens after your attempt
Correct Answer

C. (25)

Explanation

Simple Explanation

(t-9=3) से (t=12) मिलता है। (y)-अवरोध (2t+1=25) है। / From (t-9=3), (t=12). The (y)-intercept is (2t+1=25).

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Question 27/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

कौन सी रेखा ( (0,-11) ) पर (y)-अक्ष काटती है और (x) के (5) बढ़ने पर (y) (40) बढ़ाती है?

Which line cuts the (y)-axis at ( (0,-11) ) and increases (y) by (40) when (x) increases by (5)?

Explanation opens after your attempt
Correct Answer

A. (y=8x-11)

Explanation

Simple Explanation

ढाल \(\frac{40}{5}=8\) है और (y)-अवरोध (-11) है। इसलिए रेखा (y=8x-11) है। / The slope is \(\frac{40}{5}=8\) and the (y)-intercept is (-11). So the line is (y=8x-11).

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Question 28/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

कौन सी रेखा ( (0,16) ) पर (y)-अक्ष काटती है और (x) के (6) बढ़ने पर (y) (42) घटाती है?

Which line cuts the (y)-axis at ( (0,16) ) and decreases (y) by (42) when (x) increases by (6)?

Explanation opens after your attempt
Correct Answer

B. (y=-7x+16)

Explanation

Simple Explanation

ढाल \(-\frac{42}{6}=-7\) है और (y)-अवरोध (16) है। इसलिए (y=-7x+16) सही है। / The slope is \(-\frac{42}{6}=-7\) and the (y)-intercept is (16). So (y=-7x+16) is correct.

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Question 29/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=(a+7)x+(a-12)) मूल बिंदु से गुजरती है, तो इसकी ढाल क्या होगी?

If (y=(a+7)x+(a-12)) passes through the origin, what will be its slope?

Explanation opens after your attempt
Correct Answer

C. (19)

Explanation

Simple Explanation

मूल बिंदु से गुजरने के लिए (a-12=0) होगा। इसलिए (a=12) और ढाल (a+7=19) है। / To pass through the origin, (a-12=0). Thus (a=12) and the slope is (a+7=19).

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Question 30/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=(2u-3)x+(u+5)) का (y)-अवरोध (14) है, तो ढाल क्या है?

If (y=(2u-3)x+(u+5)) has (y)-intercept (14), what is the slope?

Explanation opens after your attempt
Correct Answer

B. (15)

Explanation

Simple Explanation

(u+5=14) से (u=9) मिलता है। ढाल (2u-3=15) है। / From (u+5=14), (u=9). The slope is (2u-3=15).

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Question 31/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

समीकरण (8x+3y-30=0) में (y)-अवरोध और ढाल कौन से हैं?

What are the (y)-intercept and slope in (8x+3y-30=0)?

Explanation opens after your attempt
Correct Answer

A. (y)-अवरोध (10), ढाल \(-\frac{8}{3}\)(y)-intercept (10), slope \(-\frac{8}{3}\)

Explanation

Simple Explanation

(3y=-8x+30) से \(y=-\frac{8}{3}x+10\) मिलता है। इसलिए (y)-अवरोध (10) और ढाल \(-\frac{8}{3}\) है। / From (3y=-8x+30), \(y=-\frac{8}{3}x+10\). So the (y)-intercept is (10) and slope is \(-\frac{8}{3}\).

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Question 32/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=7x+b) और (y=-5x+9) (y)-अक्ष पर एक ही बिंदु काटती हैं, तो (b) क्या है?

If (y=7x+b) and (y=-5x+9) cut the (y)-axis at the same point, what is (b)?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

एक ही (y)-अक्ष बिंदु का अर्थ समान (y)-अवरोध है। इसलिए (b=9) है। / The same (y)-axis point means equal (y)-intercepts. Therefore (b=9).

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Question 33/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=ax-10) और (y=9x+4) की ढालें समान हैं, तो (x=2) पर पहली रेखा का (y) क्या होगा?

If (y=ax-10) and (y=9x+4) have equal slopes, what is (y) on the first line at (x=2)?

Explanation opens after your attempt
Correct Answer

B. (8)

Explanation

Simple Explanation

समान ढाल से (a=9) है। (x=2) रखने पर (y=9(2)-10=8) है। / Equal slopes give (a=9). Putting (x=2), (y=9(2)-10=8).

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Question 34/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

रेखा (y=-10x+c) का (y)-अवरोध (6) है। (x=-2) पर (y) क्या होगा?

The line (y=-10x+c) has (y)-intercept (6). What will (y) be at (x=-2)?

Explanation opens after your attempt
Correct Answer

C. (26)

Explanation

Simple Explanation

(y)-अवरोध (6) से (c=6) है। (x=-2) रखने पर (y=-10(-2)+6=26) है। / The (y)-intercept (6) gives (c=6). Putting (x=-2), (y=-10(-2)+6=26).

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Question 35/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि रेखा (y=(k-4)x+3) (x) के (7) बढ़ने पर (y) (56) बढ़ाती है, तो (k) क्या है?

If the line (y=(k-4)x+3) increases (y) by (56) when (x) increases by (7), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (12)

Explanation

Simple Explanation

ढाल (k-4) है और (7(k-4)=56)। इसलिए (k-4=8) और (k=12) है। / The slope is (k-4) and (7(k-4)=56). Therefore (k-4=8) and (k=12).

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Question 36/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि रेखा (y=-(p+3)x+18) (x) के (4) बढ़ने पर (y) (36) घटाती है, तो (p) क्या है?

If the line (y=-(p+3)x+18) decreases (y) by (36) when (x) increases by (4), what is (p)?

Explanation opens after your attempt
Correct Answer

C. (6)

Explanation

Simple Explanation

ढाल (-(p+3)) है और कमी (4(p+3)=36) होगी। इसलिए (p+3=9) और (p=6) है। / The slope is (-(p+3)), and the decrease is (4(p+3)=36). So (p+3=9) and (p=6).

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Question 37/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

समीकरण (8y-5x=24) में (x=0) पर (y) का मान और ढाल क्या हैं?

In (8y-5x=24), what are the value of (y) at (x=0) and the slope?

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Correct Answer

A. (y=3), ढाल \(\frac{5}{8}\)(y=3), slope \(\frac{5}{8}\)

Explanation

Simple Explanation

(8y=5x+24) से \(y=\frac{5}{8}x+3\) मिलता है। इसलिए (x=0) पर (y=3) और ढाल \(\frac{5}{8}\) है। / From (8y=5x+24), \(y=\frac{5}{8}x+3\). So at (x=0), (y=3) and the slope is \(\frac{5}{8}\).

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

यदि (y=mx+c) में (m+c=18) और (c=7), तो ढाल क्या है?

If (m+c=18) and (c=7) in (y=mx+c), what is the slope?

Explanation opens after your attempt
Correct Answer

C. (11)

Explanation

Simple Explanation

(c=7) रखने पर (m+7=18) मिलता है। इसलिए (m=11), जो ढाल है। / Putting (c=7) gives (m+7=18). Therefore (m=11), which is the slope.

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

यदि (y=mx+c) में ढाल (-6) है और (m+c=4), तो (y)-अवरोध क्या है?

If the slope is (-6) and (m+c=4) in (y=mx+c), what is the (y)-intercept?

Explanation opens after your attempt
Correct Answer

C. (10)

Explanation

Simple Explanation

ढाल (-6) से (m=-6) है। (-6+c=4) से (c=10), जो (y)-अवरोध है। / Slope (-6) gives (m=-6). From (-6+c=4), (c=10), which is the (y)-intercept.

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Question 40/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

रेखा \(y=\frac{4}{5}x+c\) बिंदु ( (10,15) ) से गुजरती है। (c) क्या है?

The line \(y=\frac{4}{5}x+c\) passes through ( (10,15) ). What is (c)?

Explanation opens after your attempt
Correct Answer

C. (7)

Explanation

Simple Explanation

बिंदु रखने पर (15=\frac{4}{5}(10)+c) मिलता है। इसलिए (15=8+c) और (c=7) है। / Substituting the point gives (15=\frac{4}{5}(10)+c). So (15=8+c) and (c=7).

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Question 41/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

रेखा (y=mx-5) बिंदु ( (12,1) ) से गुजरती है। (m) क्या है?

The line (y=mx-5) passes through ( (12,1) ). What is (m)?

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Correct Answer

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

Explanation

Simple Explanation

बिंदु रखने पर (1=12m-5) मिलता है। इससे (12m=6) और \(m=\frac{1}{2}\) है। / Substituting the point gives (1=12m-5). Thus (12m=6) and \(m=\frac{1}{2}\).

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Question 42/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=(5a-2)x+(a+3)) का (y)-अवरोध (11) है, तो ढाल क्या है?

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

Explanation opens after your attempt
Correct Answer

A. (38)

Explanation

Simple Explanation

(a+3=11) से (a=8) मिलता है। ढाल (5a-2=38) है। / From (a+3=11), (a=8). The slope is (5a-2=38).

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Question 43/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=(b-11)x+(2b+5)) की ढाल (2) है, तो (y)-अवरोध क्या है?

If (y=(b-11)x+(2b+5)) has slope (2), what is the (y)-intercept?

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Correct Answer

A. (29)

Explanation

Simple Explanation

(b-11=2) से (b=13) मिलता है। (y)-अवरोध (2b+5=31) नहीं, (31) है। / From (b-11=2), (b=13). The (y)-intercept is (2b+5=31), so option (C) is correct.

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Question 44/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

समीकरण (5x-6y+18=0) की ढाल और (y)-अवरोध क्या हैं?

What are the slope and (y)-intercept of (5x-6y+18=0)?

Explanation opens after your attempt
Correct Answer

A. ढाल \(\frac{5}{6}\), (y)-अवरोध (3)Slope \(\frac{5}{6}\), (y)-intercept (3)

Explanation

Simple Explanation

(-6y=-5x-18) से \(y=\frac{5}{6}x+3\) मिलता है। इसलिए ढाल \(\frac{5}{6}\) और (y)-अवरोध (3) है। / From (-6y=-5x-18), \(y=\frac{5}{6}x+3\). So the slope is \(\frac{5}{6}\) and the (y)-intercept is (3).

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Question 45/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=(t+4)x-8) और (y=12x+(2t-5)) की ढालें समान हैं, तो दूसरी रेखा का (y)-अवरोध क्या है?

If (y=(t+4)x-8) and (y=12x+(2t-5)) have equal slopes, what is the (y)-intercept of the second line?

Explanation opens after your attempt
Correct Answer

A. (11)

Explanation

Simple Explanation

समान ढाल से (t+4=12) और (t=8) है। दूसरी रेखा का (y)-अवरोध (2t-5=11) है। / Equal slopes give (t+4=12) and (t=8). The second line's (y)-intercept is (2t-5=11).

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Question 46/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=4x+(v-7)) और (y=(v+3)x+5) का (y)-अवरोध समान है, तो दूसरी रेखा की ढाल क्या है?

If (y=4x+(v-7)) and (y=(v+3)x+5) have the same (y)-intercept, what is the slope of the second line?

Explanation opens after your attempt
Correct Answer

C. (15)

Explanation

Simple Explanation

समान (y)-अवरोध से (v-7=5) और (v=12) है। दूसरी रेखा की ढाल (v+3=15) है। / Equal (y)-intercepts give (v-7=5) and (v=12). The slope of the second line is (v+3=15).

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Question 47/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

रेखा \(y=-\frac{5}{3}x+14\) में (y) को (40) घटाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=-\frac{5}{3}x+14\), how much should (x) increase to decrease (y) by (40)?

Explanation opens after your attempt
Correct Answer

C. (24)

Explanation

Simple Explanation

कमी \(\frac{5}{3}\Delta x\) होगी। \(\frac{5}{3}\Delta x=40\) से \(\Delta x=24\) मिलता है। / The decrease is \(\frac{5}{3}\Delta x\). From \(\frac{5}{3}\Delta x=40\), \(\Delta x=24\).

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Question 48/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=(k+6)x+1) (x) के (4) बढ़ने पर (y) (52) बढ़ाती है, तो (k) क्या है?

If (y=(k+6)x+1) increases (y) by (52) when (x) increases by (4), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (7)

Explanation

Simple Explanation

ढाल (k+6) है और (4(k+6)=52)। इसलिए (k+6=13) और (k=7) है। / The slope is (k+6) and (4(k+6)=52). Therefore (k+6=13) and (k=7).

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Question 49/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=mx+c) में (c=-12) और (m-c=21), तो ढाल क्या है?

If (c=-12) and (m-c=21) in (y=mx+c), what is the slope?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

(c=-12) रखने पर (m-(-12)=21) मिलता है। इसलिए (m+12=21) और (m=9) है। / Putting (c=-12) gives (m-(-12)=21). So (m+12=21) and (m=9).

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Question 50/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=mx+c) में (m=-4) और (2c+m=18), तो (y)-अवरोध क्या है?

If (m=-4) and (2c+m=18) in (y=mx+c), what is the (y)-intercept?

Explanation opens after your attempt
Correct Answer

C. (11)

Explanation

Simple Explanation

(m=-4) रखने पर (2c-4=18) मिलता है। इससे (2c=22) और (c=11) है। / Putting (m=-4) gives (2c-4=18). Thus (2c=22) and (c=11).

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Question 51/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (14x+7y=35) को (y=mx+c) रूप में लिखने पर ढाल और (y)-अवरोध क्या होंगे?

When (14x+7y=35) 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 (5)Slope (-2), (y)-intercept (5)

Explanation

Simple Explanation

(7y=-14x+35) से (y=-2x+5) मिलता है। गुणांक ढाल और स्थिर पद (y)-अवरोध होता है। / From (7y=-14x+35), we get (y=-2x+5). The coefficient is slope and the constant term is the (y)-intercept.

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Question 52/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि रेखा (y=(3k-4)x+2) की ढाल (17) है, तो (k) क्या है?

If the line (y=(3k-4)x+2) has slope (17), what is (k)?

Explanation opens after your attempt
Correct Answer

D. (7)

Explanation

Simple Explanation

ढाल (3k-4) है। (3k-4=17) से (k=7) मिलता है। / The slope is (3k-4). From (3k-4=17), (k=7).

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Question 53/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (6y=18x-54) का (y)-अवरोध क्या है?

What is the (y)-intercept of (6y=18x-54)?

Explanation opens after your attempt
Correct Answer

B. (-9)

Explanation

Simple Explanation

(6) से भाग देने पर (y=3x-9) मिलता है। स्थिर पद (-9) (y)-अवरोध है। / Dividing by (6) gives (y=3x-9). The constant term (-9) is the (y)-intercept.

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Question 54/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=-6x+c) बिंदु ((5,-18)) से गुजरती है। इसका (y)-अवरोध क्या है?

The line (y=-6x+c) passes through ((5,-18)). What is its (y)-intercept?

Explanation opens after your attempt
Correct Answer

D. (12)

Explanation

Simple Explanation

बिंदु रखने पर (-18=-6(5)+c) मिलता है। इसलिए (c=12) है। / Substituting the point gives (-18=-6(5)+c). Therefore (c=12).

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Question 55/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=mx-11) बिंदु ((-4,9)) से गुजरती है। इसकी ढाल क्या है?

The line (y=mx-11) passes through ((-4,9)). What is its slope?

Explanation opens after your attempt
Correct Answer

B. (-5)

Explanation

Simple Explanation

बिंदु रखने पर (9=-4m-11) मिलता है। इससे (-4m=20) और (m=-5) है। / Substituting the point gives (9=-4m-11). Thus (-4m=20) and (m=-5).

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Question 56/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (9x-4y=28) की ढाल क्या है?

What is the slope of (9x-4y=28)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{9}{4}\)

Explanation

Simple Explanation

(9x-4y=28) से \(y=\frac{9}{4}x-7\) मिलता है। इसलिए ढाल \(\frac{9}{4}\) है। / From (9x-4y=28), we get \(y=\frac{9}{4}x-7\). Therefore the slope is \(\frac{9}{4}\).

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Question 57/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (ay=36x-60) की ढाल (6) है, तो (a) का मान क्या है?

If (ay=36x-60) has slope (6), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

B. (6)

Explanation

Simple Explanation

\(y=\frac{36}{a}x-\frac{60}{a}\) होगा। \(\frac{36}{a}=6\) से (a=6) है। / \(y=\frac{36}{a}x-\frac{60}{a}\). From \(\frac{36}{a}=6\), (a=6).

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Question 58/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (ky=30x-90) का (y)-अवरोध (-15) है, तो (k) क्या है?

If (ky=30x-90) has (y)-intercept (-15), what is (k)?

Explanation opens after your attempt
Correct Answer

D. (6)

Explanation

Simple Explanation

\(y=\frac{30}{k}x-\frac{90}{k}\) होगा। \(-\frac{90}{k}=-15\) से (k=6) है। / \(y=\frac{30}{k}x-\frac{90}{k}\). From \(-\frac{90}{k}=-15\), (k=6).

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Question 59/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=(4p-3)x-5) की ढाल (25) है। (p) क्या होगा?

The line (y=(4p-3)x-5) has slope (25). What will (p) be?

Explanation opens after your attempt
Correct Answer

D. (7)

Explanation

Simple Explanation

ढाल (4p-3) है। (4p-3=25) से (p=7) मिलता है। / The slope is (4p-3). From (4p-3=25), (p=7).

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Question 60/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(r+8)x+(r-4)) मूल बिंदु से गुजरती है, तो इसकी ढाल क्या होगी?

If (y=(r+8)x+(r-4)) passes through the origin, what will be its slope?

Explanation opens after your attempt
Correct Answer

C. (12)

Explanation

Simple Explanation

मूल बिंदु से गुजरने के लिए (r-4=0) होगा। इसलिए (r=4) और ढाल (12) है। / To pass through the origin, (r-4=0). Thus (r=4) and the slope is (12).

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Question 61/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (18x+6y-72=0) में ढाल और (y)-अवरोध क्या हैं?

What are the slope and (y)-intercept in (18x+6y-72=0)?

Explanation opens after your attempt
Correct Answer

A. ढाल (-3), (y)-अवरोध (12)Slope (-3), (y)-intercept (12)

Explanation

Simple Explanation

(6y=-18x+72) से (y=-3x+12) मिलता है। इसलिए ढाल (-3) और (y)-अवरोध (12) है। / From (6y=-18x+72), (y=-3x+12). So the slope is (-3) and the (y)-intercept is (12).

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Question 62/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (10x-5y+25=0) का (y)-अवरोध क्या है?

What is the (y)-intercept of (10x-5y+25=0)?

Explanation opens after your attempt
Correct Answer

A. (5)

Explanation

Simple Explanation

(x=0) रखने पर (-5y+25=0) मिलता है। इससे (y=5) है। / Putting (x=0) gives (-5y+25=0). Thus (y=5).

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Question 63/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि दो रेखाएं (y=(q-6)x+9) और (y=10x-4) समान ढाल रखती हैं, तो (q) क्या है?

If the two lines (y=(q-6)x+9) and (y=10x-4) have the same slope, what is (q)?

Explanation opens after your attempt
Correct Answer

D. (16)

Explanation

Simple Explanation

समान ढाल के लिए (q-6=10) होना चाहिए। इससे (q=16) मिलता है। / For equal slopes, (q-6=10). This gives (q=16).

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Question 64/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=-9x+s) और (y=6x-17) का (y)-अवरोध समान है, तो (s) क्या होगा?

If (y=-9x+s) and (y=6x-17) have the same (y)-intercept, what will (s) be?

Explanation opens after your attempt
Correct Answer

A. (-17)

Explanation

Simple Explanation

पहली रेखा का (y)-अवरोध (s) और दूसरी का (-17) है। समान होने पर (s=-17) होगा। / The first line has (y)-intercept (s) and the second has (-17). If equal, (s=-17).

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Question 65/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(a-7)x+a) में ढाल और (y)-अवरोध का अंतर (-7) है, तो कौन सा कथन सही है?

If in (y=(a-7)x+a), the difference between slope and (y)-intercept is (-7), which statement is correct?

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Correct Answer

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

Explanation

Simple Explanation

ढाल (a-7) और (y)-अवरोध (a) है। अंतर ((a-7)-a=-7) हर (a) के लिए है। / The slope is (a-7) and the (y)-intercept is (a). The difference ((a-7)-a=-7) holds for every (a).

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Question 66/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=6x+b) बिंदुओं ((2,19)) और ((5,37)) से गुजरती है। (b) क्या है?

The line (y=6x+b) passes through ((2,19)) and ((5,37)). What is (b)?

Explanation opens after your attempt
Correct Answer

B. (7)

Explanation

Simple Explanation

पहले बिंदु से (19=6(2)+b) मिलता है। इसलिए (b=7) है और दूसरा बिंदु भी सही है। / From the first point, (19=6(2)+b). So (b=7) and the second point also fits.

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Question 67/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=mx+3) बिंदुओं ((4,27)) और ((7,45)) से गुजरती है। (m) क्या है?

The line (y=mx+3) passes through ((4,27)) and ((7,45)). What is (m)?

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Correct Answer

C. (6)

Explanation

Simple Explanation

दोनों बिंदुओं से ढाल \(\frac{45-27}{7-4}=6\) है। इसलिए (m=6) है। / The slope from the two points is \(\frac{45-27}{7-4}=6\). Therefore (m=6).

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Question 68/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(k-8)x+11) और (y=5x+(k-2)) की ढालें समान हैं, तो (k) क्या है?

If (y=(k-8)x+11) and (y=5x+(k-2)) have equal slopes, what is (k)?

Explanation opens after your attempt
Correct Answer

D. (13)

Explanation

Simple Explanation

समान ढाल के लिए (k-8=5) होगा। इससे (k=13) मिलता है। / For equal slopes, (k-8=5). This gives (k=13).

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Question 69/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(m+2)x-8) और (y=9x+(m-12)) का (y)-अवरोध समान है, तो (m) क्या है?

If (y=(m+2)x-8) and (y=9x+(m-12)) have the same (y)-intercept, what is (m)?

Explanation opens after your attempt
Correct Answer

D. (4)

Explanation

Simple Explanation

समान (y)-अवरोध के लिए (-8=m-12) होगा। इससे (m=4) मिलता है। / For equal (y)-intercepts, (-8=m-12). This gives (m=4).

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Question 70/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=-7x+24) में (x) कितने बढ़ाने पर (y) (56) घटेगा?

In the line (y=-7x+24), by how much must (x) increase for (y) to decrease by (56)?

Explanation opens after your attempt
Correct Answer

D. (8)

Explanation

Simple Explanation

ढाल (-7) है, इसलिए कमी \(7\Delta x\) होगी। \(7\Delta x=56\) से \(\Delta x=8\) है। / The slope is (-7), so the decrease is \(7\Delta x\). From \(7\Delta x=56\), \(\Delta x=8\).

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Question 71/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा \(y=\frac{7}{5}x-12\) में (y) को (28) बढ़ाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=\frac{7}{5}x-12\), how much should (x) increase to increase (y) by (28)?

Explanation opens after your attempt
Correct Answer

C. (20)

Explanation

Simple Explanation

परिवर्तन \(\frac{7}{5}\Delta x=28\) होगा। इससे \(\Delta x=20\) मिलता है। / The change is \(\frac{7}{5}\Delta x=28\). This gives \(\Delta x=20\).

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Question 72/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=px+q) में (p=-8) और (q=11), तो सही कथन कौन सा है?

If (p=-8) and (q=11) 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 the (y)-intercept is positive

Explanation

Simple Explanation

(p=-8) ऋणात्मक ढाल देता है और (q=11) धनात्मक (y)-अवरोध देता है। इसलिए रेखा घटती है। / (p=-8) gives a negative slope and (q=11) gives a positive (y)-intercept. So the line decreases.

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Question 73/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (5x+ay=45) का (y)-अवरोध (9) है, तो (a) क्या है?

If (5x+ay=45) has (y)-intercept (9), what is (a)?

Explanation opens after your attempt
Correct Answer

D. (5)

Explanation

Simple Explanation

(x=0) रखने पर (ay=45) और \(y=\frac{45}{a}\) मिलता है। \(\frac{45}{a}=9\) से (a=5) है। / Putting (x=0) gives (ay=45) and \(y=\frac{45}{a}\). From \(\frac{45}{a}=9\), (a=5).

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Question 74/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (bx+10y=70) की ढाल (-3) है, तो (b) क्या है?

If (bx+10y=70) has slope (-3), what is (b)?

Explanation opens after your attempt
Correct Answer

D. (30)

Explanation

Simple Explanation

(10y=-bx+70) से ढाल \(-\frac{b}{10}\) है। \(-\frac{b}{10}=-3\) से (b=30) है। / From (10y=-bx+70), the slope is \(-\frac{b}{10}\). From \(-\frac{b}{10}=-3\), (b=30).

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Question 75/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=(n-7)x+(4n-5)) का (y)-अवरोध (23) है। इसकी ढाल क्या है?

The line (y=(n-7)x+(4n-5)) has (y)-intercept (23). What is its slope?

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Correct Answer

A. (0)

Explanation

Simple Explanation

(4n-5=23) से (n=7) मिलता है। ढाल (n-7=0) है। / From (4n-5=23), (n=7). The slope is (n-7=0).

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Question 76/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=(t-10)x+(3t-1)) की ढाल (5) है। इसका (y)-अवरोध क्या है?

The line (y=(t-10)x+(3t-1)) has slope (5). What is its (y)-intercept?

Explanation opens after your attempt
Correct Answer

B. (44)

Explanation

Simple Explanation

(t-10=5) से (t=15) मिलता है। (y)-अवरोध (3t-1=44) है। / From (t-10=5), (t=15). The (y)-intercept is (3t-1=44).

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Question 77/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

कौन सी रेखा ((0,-14)) पर (y)-अक्ष काटती है और (x) के (6) बढ़ने पर (y) (54) बढ़ाती है?

Which line cuts the (y)-axis at ((0,-14)) and increases (y) by (54) when (x) increases by (6)?

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Correct Answer

A. (y=9x-14)

Explanation

Simple Explanation

ढाल \(\frac{54}{6}=9\) है और (y)-अवरोध (-14) है। इसलिए रेखा (y=9x-14) है। / The slope is \(\frac{54}{6}=9\) and the (y)-intercept is (-14). So the line is (y=9x-14).

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Question 78/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

कौन सी रेखा ((0,18)) पर (y)-अक्ष काटती है और (x) के (7) बढ़ने पर (y) (49) घटाती है?

Which line cuts the (y)-axis at ((0,18)) and decreases (y) by (49) when (x) increases by (7)?

Explanation opens after your attempt
Correct Answer

B. (y=-7x+18)

Explanation

Simple Explanation

ढाल \(-\frac{49}{7}=-7\) है और (y)-अवरोध (18) है। इसलिए (y=-7x+18) सही है। / The slope is \(-\frac{49}{7}=-7\) and the (y)-intercept is (18). So (y=-7x+18) is correct.

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Question 79/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(a+9)x+(a-15)) मूल बिंदु से गुजरती है, तो इसकी ढाल क्या होगी?

If (y=(a+9)x+(a-15)) passes through the origin, what will be its slope?

Explanation opens after your attempt
Correct Answer

C. (24)

Explanation

Simple Explanation

मूल बिंदु से गुजरने के लिए (a-15=0) होगा। इसलिए (a=15) और ढाल (24) है। / To pass through the origin, (a-15=0). Thus (a=15) and the slope is (24).

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Question 80/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(3u-2)x+(u+6)) का (y)-अवरोध (16) है, तो ढाल क्या है?

If (y=(3u-2)x+(u+6)) has (y)-intercept (16), what is the slope?

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Correct Answer

B. (28)

Explanation

Simple Explanation

(u+6=16) से (u=10) मिलता है। ढाल (3u-2=28) है। / From (u+6=16), (u=10). The slope is (3u-2=28).

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Question 81/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (10x+4y-44=0) में (y)-अवरोध और ढाल कौन से हैं?

What are the (y)-intercept and slope in (10x+4y-44=0)?

Explanation opens after your attempt
Correct Answer

A. (y)-अवरोध (11), ढाल \(-\frac{5}{2}\)(y)-intercept (11), slope \(-\frac{5}{2}\)

Explanation

Simple Explanation

(4y=-10x+44) से \(y=-\frac{5}{2}x+11\) मिलता है। इसलिए (y)-अवरोध (11) और ढाल \(-\frac{5}{2}\) है। / From (4y=-10x+44), \(y=-\frac{5}{2}x+11\). So the (y)-intercept is (11) and slope is \(-\frac{5}{2}\).

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Question 82/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=8x+b) और (y=-6x+13) (y)-अक्ष पर एक ही बिंदु काटती हैं, तो (b) क्या है?

If (y=8x+b) and (y=-6x+13) cut the (y)-axis at the same point, what is (b)?

Explanation opens after your attempt
Correct Answer

D. (13)

Explanation

Simple Explanation

एक ही (y)-अक्ष बिंदु का अर्थ समान (y)-अवरोध है। इसलिए (b=13) है। / The same (y)-axis point means equal (y)-intercepts. Therefore (b=13).

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Question 83/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=ax-12) और (y=10x+5) की ढालें समान हैं, तो (x=3) पर पहली रेखा का (y) क्या होगा?

If (y=ax-12) and (y=10x+5) have equal slopes, what is (y) on the first line at (x=3)?

Explanation opens after your attempt
Correct Answer

B. (18)

Explanation

Simple Explanation

समान ढाल से (a=10) है। (x=3) रखने पर (y=10(3)-12=18) है। / Equal slopes give (a=10). Putting (x=3), (y=10(3)-12=18).

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Question 84/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=-11x+c) का (y)-अवरोध (7) है। (x=-3) पर (y) क्या होगा?

The line (y=-11x+c) has (y)-intercept (7). What will (y) be at (x=-3)?

Explanation opens after your attempt
Correct Answer

D. (40)

Explanation

Simple Explanation

(y)-अवरोध (7) से (c=7) है। (x=-3) रखने पर (y=-11(-3)+7=40) है। / The (y)-intercept (7) gives (c=7). Putting (x=-3), (y=-11(-3)+7=40).

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Question 85/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि रेखा (y=(k-5)x+4) (x) के (8) बढ़ने पर (y) (72) बढ़ाती है, तो (k) क्या है?

If the line (y=(k-5)x+4) increases (y) by (72) when (x) increases by (8), what is (k)?

Explanation opens after your attempt
Correct Answer

D. (14)

Explanation

Simple Explanation

ढाल (k-5) है और (8(k-5)=72)। इसलिए (k-5=9) और (k=14) है। / The slope is (k-5) and (8(k-5)=72). Therefore (k-5=9) and (k=14).

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Question 86/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि रेखा (y=-(p+4)x+20) (x) के (5) बढ़ने पर (y) (55) घटाती है, तो (p) क्या है?

If the line (y=-(p+4)x+20) decreases (y) by (55) when (x) increases by (5), what is (p)?

Explanation opens after your attempt
Correct Answer

C. (7)

Explanation

Simple Explanation

ढाल (-(p+4)) है और कमी (5(p+4)=55) होगी। इसलिए (p+4=11) और (p=7) है। / The slope is (-(p+4)) and the decrease is (5(p+4)=55). So (p+4=11) and (p=7).

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Question 87/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (9y-7x=45) में (x=0) पर (y) का मान और ढाल क्या हैं?

In (9y-7x=45), what are the value of (y) at (x=0) and the slope?

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Correct Answer

A. (y=5), ढाल \(\frac{7}{9}\)(y=5), slope \(\frac{7}{9}\)

Explanation

Simple Explanation

(9y=7x+45) से \(y=\frac{7}{9}x+5\) मिलता है। इसलिए (x=0) पर (y=5) और ढाल \(\frac{7}{9}\) है। / From (9y=7x+45), \(y=\frac{7}{9}x+5\). So at (x=0), (y=5) and the slope is \(\frac{7}{9}\).

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Question 88/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=mx+c) में (m+c=21) और (c=8), तो ढाल क्या है?

If (m+c=21) and (c=8) in (y=mx+c), what is the slope?

Explanation opens after your attempt
Correct Answer

C. (13)

Explanation

Simple Explanation

(c=8) रखने पर (m+8=21) मिलता है। इसलिए (m=13) है। / Putting (c=8) gives (m+8=21). Therefore (m=13).

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Question 89/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=mx+c) में ढाल (-7) है और (m+c=5), तो (y)-अवरोध क्या है?

If the slope is (-7) and (m+c=5) in (y=mx+c), what is the (y)-intercept?

Explanation opens after your attempt
Correct Answer

C. (12)

Explanation

Simple Explanation

ढाल (-7) से (m=-7) है। (-7+c=5) से (c=12) है। / Slope (-7) gives (m=-7). From (-7+c=5), (c=12).

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Question 90/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा \(y=\frac{5}{6}x+c\) बिंदु ((12,19)) से गुजरती है। (c) क्या है?

The line \(y=\frac{5}{6}x+c\) passes through ((12,19)). What is (c)?

Explanation opens after your attempt
Correct Answer

B. (9)

Explanation

Simple Explanation

बिंदु रखने पर (19=\frac{5}{6}(12)+c) मिलता है। इसलिए (19=10+c) और (c=9) है। / Substituting the point gives (19=\frac{5}{6}(12)+c). So (19=10+c) and (c=9).

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Question 91/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=mx-7) बिंदु ((14,0)) से गुजरती है। (m) क्या है?

The line (y=mx-7) passes through ((14,0)). What is (m)?

Explanation opens after your attempt
Correct Answer

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

Explanation

Simple Explanation

बिंदु रखने पर (0=14m-7) मिलता है। इससे (14m=7) और \(m=\frac{1}{2}\) है। / Substituting the point gives (0=14m-7). Thus (14m=7) and \(m=\frac{1}{2}\).

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Question 92/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(6a-5)x+(a+4)) का (y)-अवरोध (13) है, तो ढाल क्या है?

If (y=(6a-5)x+(a+4)) has (y)-intercept (13), what is the slope?

Explanation opens after your attempt
Correct Answer

A. (49)

Explanation

Simple Explanation

(a+4=13) से (a=9) मिलता है। ढाल (6a-5=49) है। / From (a+4=13), (a=9). The slope is (6a-5=49).

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Question 93/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(b-13)x+(3b+1)) की ढाल (4) है, तो (y)-अवरोध क्या है?

If (y=(b-13)x+(3b+1)) has slope (4), what is the (y)-intercept?

Explanation opens after your attempt
Correct Answer

B. (52)

Explanation

Simple Explanation

(b-13=4) से (b=17) मिलता है। (y)-अवरोध (3b+1=52) है। / From (b-13=4), (b=17). The (y)-intercept is (3b+1=52).

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Question 94/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (7x-8y+24=0) की ढाल और (y)-अवरोध क्या हैं?

What are the slope and (y)-intercept of (7x-8y+24=0)?

Explanation opens after your attempt
Correct Answer

A. ढाल \(\frac{7}{8}\), (y)-अवरोध (3)Slope \(\frac{7}{8}\), (y)-intercept (3)

Explanation

Simple Explanation

(-8y=-7x-24) से \(y=\frac{7}{8}x+3\) मिलता है। इसलिए ढाल \(\frac{7}{8}\) और (y)-अवरोध (3) है। / From (-8y=-7x-24), \(y=\frac{7}{8}x+3\). So the slope is \(\frac{7}{8}\) and the (y)-intercept is (3).

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Question 95/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(t+5)x-9) और (y=14x+(2t-7)) की ढालें समान हैं, तो दूसरी रेखा का (y)-अवरोध क्या है?

If (y=(t+5)x-9) and (y=14x+(2t-7)) have equal slopes, what is the (y)-intercept of the second line?

Explanation opens after your attempt
Correct Answer

B. (11)

Explanation

Simple Explanation

समान ढाल से (t+5=14) और (t=9) है। दूसरी रेखा का (y)-अवरोध (2t-7=11) है। / Equal slopes give (t+5=14) and (t=9). The second line's (y)-intercept is (2t-7=11).

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Question 96/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=5x+(v-9)) और (y=(v+4)x+8) का (y)-अवरोध समान है, तो दूसरी रेखा की ढाल क्या है?

If (y=5x+(v-9)) and (y=(v+4)x+8) have the same (y)-intercept, what is the slope of the second line?

Explanation opens after your attempt
Correct Answer

C. (21)

Explanation

Simple Explanation

समान (y)-अवरोध से (v-9=8) और (v=17) है। दूसरी रेखा की ढाल (v+4=21) है। / Equal (y)-intercepts give (v-9=8) and (v=17). The slope of the second line is (v+4=21).

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Question 97/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा \(y=-\frac{7}{4}x+18\) में (y) को (42) घटाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=-\frac{7}{4}x+18\), how much should (x) increase to decrease (y) by (42)?

Explanation opens after your attempt
Correct Answer

C. (24)

Explanation

Simple Explanation

कमी \(\frac{7}{4}\Delta x\) होगी। \(\frac{7}{4}\Delta x=42\) से \(\Delta x=24\) मिलता है। / The decrease is \(\frac{7}{4}\Delta x\). From \(\frac{7}{4}\Delta x=42\), \(\Delta x=24\).

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Question 98/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(k+7)x+2) (x) के (5) बढ़ने पर (y) (75) बढ़ाती है, तो (k) क्या है?

If (y=(k+7)x+2) increases (y) by (75) when (x) increases by (5), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (8)

Explanation

Simple Explanation

ढाल (k+7) है और (5(k+7)=75)। इसलिए (k+7=15) और (k=8) है। / The slope is (k+7) and (5(k+7)=75). Therefore (k+7=15) and (k=8).

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Question 99/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=mx+c) में (c=-15) और (m-c=26), तो ढाल क्या है?

If (c=-15) and (m-c=26) in (y=mx+c), what is the slope?

Explanation opens after your attempt
Correct Answer

C. (11)

Explanation

Simple Explanation

(c=-15) रखने पर (m-(-15)=26) मिलता है। इसलिए (m=11) है। / Putting (c=-15) gives (m-(-15)=26). Therefore (m=11).

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Question 100/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=mx+c) में (m=-5) और (3c+m=31), तो (y)-अवरोध क्या है?

If (m=-5) and (3c+m=31) in (y=mx+c), what is the (y)-intercept?

Explanation opens after your attempt
Correct Answer

C. (12)

Explanation

Simple Explanation

(m=-5) रखने पर (3c-5=31) मिलता है। इससे (3c=36) और (c=12) है। / Putting (m=-5) gives (3c-5=31). Thus (3c=36) and (c=12).

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Question 101/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

समीकरण (16x+4y=52) को (y=mx+c) रूप में लिखने पर ढाल और (y)-अवरोध क्या होंगे?

When (16x+4y=52) is written in (y=mx+c) form, what are the slope and (y)-intercept?

Explanation opens after your attempt
Correct Answer

A. ढाल (-4), (y)-अवरोध (13)Slope (-4), (y)-intercept (13)

Explanation

Simple Explanation

(4y=-16x+52) से (y=-4x+13) मिलता है। गुणांक ढाल और स्थिर पद (y)-अवरोध होता है। / From (4y=-16x+52), we get (y=-4x+13). The coefficient is the slope and the constant term is the (y)-intercept.

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Question 102/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि रेखा (y=(2k+3)x-5) की ढाल (19) है, तो (k) क्या है?

If the line (y=(2k+3)x-5) has slope (19), what is (k)?

Explanation opens after your attempt
Correct Answer

B. (8)

Explanation

Simple Explanation

ढाल (2k+3) है। (2k+3=19) से (k=8) मिलता है। / The slope is (2k+3). From (2k+3=19), (k=8).

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Question 103/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

समीकरण (8y=24x-64) का (y)-अवरोध क्या है?

What is the (y)-intercept of (8y=24x-64)?

Explanation opens after your attempt
Correct Answer

C. (-8)

Explanation

Simple Explanation

(8) से भाग देने पर (y=3x-8) मिलता है। स्थिर पद (-8) (y)-अवरोध है। / Dividing by (8) gives (y=3x-8). The constant term (-8) is the (y)-intercept.

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Question 104/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा (y=-7x+c) बिंदु ((4,-20)) से गुजरती है। इसका (y)-अवरोध क्या है?

The line (y=-7x+c) passes through ((4,-20)). What is its (y)-intercept?

Explanation opens after your attempt
Correct Answer

D. (8)

Explanation

Simple Explanation

बिंदु रखने पर (-20=-7(4)+c) मिलता है। इसलिए (c=8) है। / Substituting the point gives (-20=-7(4)+c). Therefore (c=8).

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Question 105/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा (y=mx-13) बिंदु ((-5,12)) से गुजरती है। इसकी ढाल क्या है?

The line (y=mx-13) passes through ((-5,12)). What is its slope?

Explanation opens after your attempt
Correct Answer

B. (-5)

Explanation

Simple Explanation

बिंदु रखने पर (12=-5m-13) मिलता है। इससे (-5m=25) और (m=-5) है। / Substituting the point gives (12=-5m-13). Thus (-5m=25) and (m=-5).

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Question 106/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

समीकरण (11x-5y=35) की ढाल क्या है?

What is the slope of (11x-5y=35)?

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Correct Answer

A. \(\frac{11}{5}\)

Explanation

Simple Explanation

(11x-5y=35) से \(y=\frac{11}{5}x-7\) मिलता है। इसलिए ढाल \(\frac{11}{5}\) है। / From (11x-5y=35), we get \(y=\frac{11}{5}x-7\). Therefore the slope is \(\frac{11}{5}\).

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Question 107/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (ay=42x-70) की ढाल (7) है, तो (a) का मान क्या है?

If (ay=42x-70) has slope (7), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

B. (6)

Explanation

Simple Explanation

\(y=\frac{42}{a}x-\frac{70}{a}\) होगा। \(\frac{42}{a}=7\) से (a=6) है। / \(y=\frac{42}{a}x-\frac{70}{a}\). From \(\frac{42}{a}=7\), (a=6).

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Question 108/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (ky=36x-108) का (y)-अवरोध (-18) है, तो (k) क्या है?

If (ky=36x-108) has (y)-intercept (-18), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (6)

Explanation

Simple Explanation

\(y=\frac{36}{k}x-\frac{108}{k}\) होगा। \(-\frac{108}{k}=-18\) से (k=6) है। / \(y=\frac{36}{k}x-\frac{108}{k}\). From \(-\frac{108}{k}=-18\), (k=6).

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Question 109/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा (y=(5p-2)x-7) की ढाल (38) है। (p) क्या होगा?

The line (y=(5p-2)x-7) has slope (38). What will (p) be?

Explanation opens after your attempt
Correct Answer

D. (8)

Explanation

Simple Explanation

ढाल (5p-2) है। (5p-2=38) से (p=8) मिलता है। / The slope is (5p-2). From (5p-2=38), (p=8).

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Question 110/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=(r+10)x+(r-6)) मूल बिंदु से गुजरती है, तो इसकी ढाल क्या होगी?

If (y=(r+10)x+(r-6)) passes through the origin, what will be its slope?

Explanation opens after your attempt
Correct Answer

B. (16)

Explanation

Simple Explanation

मूल बिंदु से गुजरने के लिए (r-6=0) होगा। इसलिए (r=6) और ढाल (16) है। / To pass through the origin, (r-6=0). Thus (r=6) and the slope is (16).

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Question 111/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

समीकरण (20x+5y-85=0) में ढाल और (y)-अवरोध क्या हैं?

What are the slope and (y)-intercept in (20x+5y-85=0)?

Explanation opens after your attempt
Correct Answer

A. ढाल (-4), (y)-अवरोध (17)Slope (-4), (y)-intercept (17)

Explanation

Simple Explanation

(5y=-20x+85) से (y=-4x+17) मिलता है। इसलिए ढाल (-4) और (y)-अवरोध (17) है। / From (5y=-20x+85), (y=-4x+17). So the slope is (-4) and the (y)-intercept is (17).

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Question 112/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

समीकरण (12x-6y+30=0) का (y)-अवरोध क्या है?

What is the (y)-intercept of (12x-6y+30=0)?

Explanation opens after your attempt
Correct Answer

A. (5)

Explanation

Simple Explanation

(x=0) रखने पर (-6y+30=0) मिलता है। इससे (y=5) है। / Putting (x=0) gives (-6y+30=0). Thus (y=5).

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Question 113/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि दो रेखाएं (y=(q-9)x+14) और (y=12x-6) समान ढाल रखती हैं, तो (q) क्या है?

If the two lines (y=(q-9)x+14) and (y=12x-6) have the same slope, what is (q)?

Explanation opens after your attempt
Correct Answer

C. (21)

Explanation

Simple Explanation

समान ढाल के लिए (q-9=12) होना चाहिए। इससे (q=21) मिलता है। / For equal slopes, (q-9=12). This gives (q=21).

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Question 114/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=-10x+s) और (y=7x-19) का (y)-अवरोध समान है, तो (s) क्या होगा?

If (y=-10x+s) and (y=7x-19) have the same (y)-intercept, what will (s) be?

Explanation opens after your attempt
Correct Answer

A. (-19)

Explanation

Simple Explanation

पहली रेखा का (y)-अवरोध (s) और दूसरी का (-19) है। समान होने पर (s=-19) होगा। / The first line has (y)-intercept (s) and the second has (-19). If equal, (s=-19).

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Question 115/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=(a+8)x+a) में ढाल और (y)-अवरोध का अंतर (8) है, तो कौन सा कथन सही है?

If in (y=(a+8)x+a), the difference between slope and (y)-intercept is (8), which statement is correct?

Explanation opens after your attempt
Correct Answer

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

Explanation

Simple Explanation

ढाल (a+8) और (y)-अवरोध (a) है। अंतर ((a+8)-a=8) हर (a) के लिए है। / The slope is (a+8) and the (y)-intercept is (a). The difference ((a+8)-a=8) holds for every (a).

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Question 116/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा (y=7x+b) बिंदुओं ((2,23)) और ((5,44)) से गुजरती है। (b) क्या है?

The line (y=7x+b) passes through ((2,23)) and ((5,44)). What is (b)?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

पहले बिंदु से (23=7(2)+b) मिलता है। इसलिए (b=9) है और दूसरा बिंदु भी सही है। / From the first point, (23=7(2)+b). So (b=9) and the second point also fits.

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Question 117/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा (y=mx+4) बिंदुओं ((3,25)) और ((6,46)) से गुजरती है। (m) क्या है?

The line (y=mx+4) passes through ((3,25)) and ((6,46)). What is (m)?

Explanation opens after your attempt
Correct Answer

C. (7)

Explanation

Simple Explanation

दोनों बिंदुओं से ढाल \(\frac{46-25}{6-3}=7\) है। इसलिए (m=7) है। / The slope from the two points is \(\frac{46-25}{6-3}=7\). Therefore (m=7).

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Question 118/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=(k-10)x+13) और (y=6x+(k-3)) की ढालें समान हैं, तो (k) क्या है?

If (y=(k-10)x+13) and (y=6x+(k-3)) have equal slopes, what is (k)?

Explanation opens after your attempt
Correct Answer

C. (16)

Explanation

Simple Explanation

समान ढाल के लिए (k-10=6) होगा। इससे (k=16) मिलता है। / For equal slopes, (k-10=6). This gives (k=16).

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Question 119/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=(m+3)x-9) और (y=11x+(m-14)) का (y)-अवरोध समान है, तो (m) क्या है?

If (y=(m+3)x-9) and (y=11x+(m-14)) have the same (y)-intercept, what is (m)?

Explanation opens after your attempt
Correct Answer

C. (5)

Explanation

Simple Explanation

समान (y)-अवरोध के लिए (-9=m-14) होगा। इससे (m=5) मिलता है। / For equal (y)-intercepts, (-9=m-14). This gives (m=5).

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Question 120/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा (y=-8x+30) में (x) कितने बढ़ाने पर (y) (64) घटेगा?

In the line (y=-8x+30), by how much must (x) increase for (y) to decrease by (64)?

Explanation opens after your attempt
Correct Answer

C. (8)

Explanation

Simple Explanation

ढाल (-8) है, इसलिए कमी \(8\Delta x\) होगी। \(8\Delta x=64\) से \(\Delta x=8\) है। / The slope is (-8), so the decrease is \(8\Delta x\). From \(8\Delta x=64\), \(\Delta x=8\).

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Question 121/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा \(y=\frac{9}{4}x-15\) में (y) को (36) बढ़ाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=\frac{9}{4}x-15\), how much should (x) increase to increase (y) by (36)?

Explanation opens after your attempt
Correct Answer

C. (16)

Explanation

Simple Explanation

परिवर्तन \(\frac{9}{4}\Delta x=36\) होगा। इससे \(\Delta x=16\) मिलता है। / The change is \(\frac{9}{4}\Delta x=36\). This gives \(\Delta x=16\).

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Question 122/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=px+q) में (p=-9) और (q=14), तो सही कथन कौन सा है?

If (p=-9) and (q=14) 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 the (y)-intercept is positive

Explanation

Simple Explanation

(p=-9) ऋणात्मक ढाल देता है और (q=14) धनात्मक (y)-अवरोध देता है। इसलिए रेखा घटती है। / (p=-9) gives a negative slope and (q=14) gives a positive (y)-intercept. So the line decreases.

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Question 123/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (6x+ay=54) का (y)-अवरोध (9) है, तो (a) क्या है?

If (6x+ay=54) has (y)-intercept (9), what is (a)?

Explanation opens after your attempt
Correct Answer

C. (6)

Explanation

Simple Explanation

(x=0) रखने पर (ay=54) और \(y=\frac{54}{a}\) मिलता है। \(\frac{54}{a}=9\) से (a=6) है। / Putting (x=0) gives (ay=54) and \(y=\frac{54}{a}\). From \(\frac{54}{a}=9\), (a=6).

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Question 124/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (bx+12y=96) की ढाल (-4) है, तो (b) क्या है?

If (bx+12y=96) has slope (-4), what is (b)?

Explanation opens after your attempt
Correct Answer

C. (48)

Explanation

Simple Explanation

(12y=-bx+96) से ढाल \(-\frac{b}{12}\) है। \(-\frac{b}{12}=-4\) से (b=48) है। / From (12y=-bx+96), the slope is \(-\frac{b}{12}\). From \(-\frac{b}{12}=-4\), (b=48).

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Question 125/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा (y=(n-9)x+(5n-7)) का (y)-अवरोध (38) है। इसकी ढाल क्या है?

The line (y=(n-9)x+(5n-7)) has (y)-intercept (38). What is its slope?

Explanation opens after your attempt
Correct Answer

A. (0)

Explanation

Simple Explanation

(5n-7=38) से (n=9) मिलता है। ढाल (n-9=0) है। / From (5n-7=38), (n=9). The slope is (n-9=0).

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Question 126/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा (y=(t-12)x+(4t-3)) की ढाल (6) है। इसका (y)-अवरोध क्या है?

The line (y=(t-12)x+(4t-3)) has slope (6). What is its (y)-intercept?

Explanation opens after your attempt
Correct Answer

C. (69)

Explanation

Simple Explanation

(t-12=6) से (t=18) मिलता है। (y)-अवरोध (4t-3=69) है। / From (t-12=6), (t=18). The (y)-intercept is (4t-3=69).

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Question 127/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

कौन सी रेखा ((0,-16)) पर (y)-अक्ष काटती है और (x) के (7) बढ़ने पर (y) (70) बढ़ाती है?

Which line cuts the (y)-axis at ((0,-16)) and increases (y) by (70) when (x) increases by (7)?

Explanation opens after your attempt
Correct Answer

A. (y=10x-16)

Explanation

Simple Explanation

ढाल \(\frac{70}{7}=10\) है और (y)-अवरोध (-16) है। इसलिए रेखा (y=10x-16) है। / The slope is \(\frac{70}{7}=10\) and the (y)-intercept is (-16). So the line is (y=10x-16).

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Question 128/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

कौन सी रेखा ((0,20)) पर (y)-अक्ष काटती है और (x) के (8) बढ़ने पर (y) (72) घटाती है?

Which line cuts the (y)-axis at ((0,20)) and decreases (y) by (72) when (x) increases by (8)?

Explanation opens after your attempt
Correct Answer

B. (y=-9x+20)

Explanation

Simple Explanation

ढाल \(-\frac{72}{8}=-9\) है और (y)-अवरोध (20) है। इसलिए (y=-9x+20) सही है। / The slope is \(-\frac{72}{8}=-9\) and the (y)-intercept is (20). So (y=-9x+20) is correct.

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Question 129/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=(a+11)x+(a-18)) मूल बिंदु से गुजरती है, तो इसकी ढाल क्या होगी?

If (y=(a+11)x+(a-18)) passes through the origin, what will be its slope?

Explanation opens after your attempt
Correct Answer

C. (29)

Explanation

Simple Explanation

मूल बिंदु से गुजरने के लिए (a-18=0) होगा। इसलिए (a=18) और ढाल (29) है। / To pass through the origin, (a-18=0). Thus (a=18) and the slope is (29).

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Question 130/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=(4u-3)x+(u+7)) का (y)-अवरोध (19) है, तो ढाल क्या है?

If (y=(4u-3)x+(u+7)) has (y)-intercept (19), what is the slope?

Explanation opens after your attempt
Correct Answer

B. (45)

Explanation

Simple Explanation

(u+7=19) से (u=12) मिलता है। ढाल (4u-3=45) है। / From (u+7=19), (u=12). The slope is (4u-3=45).

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Question 131/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

समीकरण (12x+5y-65=0) में (y)-अवरोध और ढाल कौन से हैं?

What are the (y)-intercept and slope in (12x+5y-65=0)?

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Correct Answer

A. (y)-अवरोध (13), ढाल \(-\frac{12}{5}\)(y)-intercept (13), slope \(-\frac{12}{5}\)

Explanation

Simple Explanation

(5y=-12x+65) से \(y=-\frac{12}{5}x+13\) मिलता है। इसलिए (y)-अवरोध (13) और ढाल \(-\frac{12}{5}\) है। / From (5y=-12x+65), \(y=-\frac{12}{5}x+13\). So the (y)-intercept is (13) and slope is \(-\frac{12}{5}\).

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Question 132/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=9x+b) और (y=-7x+15) (y)-अक्ष पर एक ही बिंदु काटती हैं, तो (b) क्या है?

If (y=9x+b) and (y=-7x+15) cut the (y)-axis at the same point, what is (b)?

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Correct Answer

C. (15)

Explanation

Simple Explanation

एक ही (y)-अक्ष बिंदु का अर्थ समान (y)-अवरोध है। इसलिए (b=15) है। / The same (y)-axis point means equal (y)-intercepts. Therefore (b=15).

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Question 133/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=ax-14) और (y=11x+6) की ढालें समान हैं, तो (x=3) पर पहली रेखा का (y) क्या होगा?

If (y=ax-14) and (y=11x+6) have equal slopes, what is (y) on the first line at (x=3)?

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Correct Answer

B. (19)

Explanation

Simple Explanation

समान ढाल से (a=11) है। (x=3) रखने पर (y=11(3)-14=19) है। / Equal slopes give (a=11). Putting (x=3), (y=11(3)-14=19).

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Question 134/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा (y=-12x+c) का (y)-अवरोध (9) है। (x=-4) पर (y) क्या होगा?

The line (y=-12x+c) has (y)-intercept (9). What will (y) be at (x=-4)?

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Correct Answer

C. (57)

Explanation

Simple Explanation

(y)-अवरोध (9) से (c=9) है। (x=-4) रखने पर (y=-12(-4)+9=57) है। / The (y)-intercept (9) gives (c=9). Putting (x=-4), (y=-12(-4)+9=57).

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Question 135/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि रेखा (y=(k-6)x+5) (x) के (9) बढ़ने पर (y) (108) बढ़ाती है, तो (k) क्या है?

If the line (y=(k-6)x+5) increases (y) by (108) when (x) increases by (9), what is (k)?

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Correct Answer

C. (18)

Explanation

Simple Explanation

ढाल (k-6) है और (9(k-6)=108)। इसलिए (k-6=12) और (k=18) है। / The slope is (k-6) and (9(k-6)=108). Therefore (k-6=12) and (k=18).

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Question 136/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि रेखा (y=-(p+5)x+24) (x) के (6) बढ़ने पर (y) (72) घटाती है, तो (p) क्या है?

If the line (y=-(p+5)x+24) decreases (y) by (72) when (x) increases by (6), what is (p)?

Explanation opens after your attempt
Correct Answer

C. (7)

Explanation

Simple Explanation

ढाल (-(p+5)) है और कमी (6(p+5)=72) होगी। इसलिए (p+5=12) और (p=7) है। / The slope is (-(p+5)), and the decrease is (6(p+5)=72). So (p+5=12) and (p=7).

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Question 137/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

समीकरण (10y-9x=60) में (x=0) पर (y) का मान और ढाल क्या हैं?

In (10y-9x=60), what are the value of (y) at (x=0) and the slope?

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Correct Answer

A. (y=6), ढाल \(\frac{9}{10}\)(y=6), slope \(\frac{9}{10}\)

Explanation

Simple Explanation

(10y=9x+60) से \(y=\frac{9}{10}x+6\) मिलता है। इसलिए (x=0) पर (y=6) और ढाल \(\frac{9}{10}\) है। / From (10y=9x+60), \(y=\frac{9}{10}x+6\). So at (x=0), (y=6) and the slope is \(\frac{9}{10}\).

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Question 138/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=mx+c) में (m+c=24) और (c=9), तो ढाल क्या है?

If (m+c=24) and (c=9) in (y=mx+c), what is the slope?

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Correct Answer

C. (15)

Explanation

Simple Explanation

(c=9) रखने पर (m+9=24) मिलता है। इसलिए (m=15) है। / Putting (c=9) gives (m+9=24). Therefore (m=15).

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Question 139/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=mx+c) में ढाल (-8) है और (m+c=6), तो (y)-अवरोध क्या है?

If the slope is (-8) and (m+c=6) in (y=mx+c), what is the (y)-intercept?

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Correct Answer

C. (14)

Explanation

Simple Explanation

ढाल (-8) से (m=-8) है। (-8+c=6) से (c=14) है। / Slope (-8) gives (m=-8). From (-8+c=6), (c=14).

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Question 140/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा \(y=\frac{7}{8}x+c\) बिंदु ((16,25)) से गुजरती है। (c) क्या है?

The line \(y=\frac{7}{8}x+c\) passes through ((16,25)). What is (c)?

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Correct Answer

C. (11)

Explanation

Simple Explanation

बिंदु रखने पर (25=\frac{7}{8}(16)+c) मिलता है। इसलिए (25=14+c) और (c=11) है। / Substituting the point gives (25=\frac{7}{8}(16)+c). So (25=14+c) and (c=11).

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Question 141/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा (y=mx-9) बिंदु ((18,0)) से गुजरती है। (m) क्या है?

The line (y=mx-9) passes through ((18,0)). What is (m)?

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Correct Answer

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

Explanation

Simple Explanation

बिंदु रखने पर (0=18m-9) मिलता है। इससे (18m=9) और \(m=\frac{1}{2}\) है। / Substituting the point gives (0=18m-9). Thus (18m=9) and \(m=\frac{1}{2}\).

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Question 142/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=(7a-6)x+(a+5)) का (y)-अवरोध (17) है, तो ढाल क्या है?

If (y=(7a-6)x+(a+5)) has (y)-intercept (17), what is the slope?

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Correct Answer

B. (78)

Explanation

Simple Explanation

(a+5=17) से (a=12) मिलता है। ढाल (7a-6=78) है। / From (a+5=17), (a=12). The slope is (7a-6=78).

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Question 143/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=(b-15)x+(4b+2)) की ढाल (5) है, तो (y)-अवरोध क्या है?

If (y=(b-15)x+(4b+2)) has slope (5), what is the (y)-intercept?

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Correct Answer

C. (82)

Explanation

Simple Explanation

(b-15=5) से (b=20) मिलता है। (y)-अवरोध (4b+2=82) है। / From (b-15=5), (b=20). The (y)-intercept is (4b+2=82).

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Question 144/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

समीकरण (9x-10y+30=0) की ढाल और (y)-अवरोध क्या हैं?

What are the slope and (y)-intercept of (9x-10y+30=0)?

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Correct Answer

A. ढाल \(\frac{9}{10}\), (y)-अवरोध (3)Slope \(\frac{9}{10}\), (y)-intercept (3)

Explanation

Simple Explanation

(-10y=-9x-30) से \(y=\frac{9}{10}x+3\) मिलता है। इसलिए ढाल \(\frac{9}{10}\) और (y)-अवरोध (3) है। / From (-10y=-9x-30), \(y=\frac{9}{10}x+3\). So the slope is \(\frac{9}{10}\) and the (y)-intercept is (3).

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Question 145/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=(t+6)x-10) और (y=16x+(2t-9)) की ढालें समान हैं, तो दूसरी रेखा का (y)-अवरोध क्या है?

If (y=(t+6)x-10) and (y=16x+(2t-9)) have equal slopes, what is the (y)-intercept of the second line?

Explanation opens after your attempt
Correct Answer

B. (11)

Explanation

Simple Explanation

समान ढाल से (t+6=16) और (t=10) है। दूसरी रेखा का (y)-अवरोध (2t-9=11) है। / Equal slopes give (t+6=16) and (t=10). The second line's (y)-intercept is (2t-9=11).

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Question 146/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=6x+(v-11)) और (y=(v+5)x+10) का (y)-अवरोध समान है, तो दूसरी रेखा की ढाल क्या है?

If (y=6x+(v-11)) and (y=(v+5)x+10) have the same (y)-intercept, what is the slope of the second line?

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Correct Answer

C. (26)

Explanation

Simple Explanation

समान (y)-अवरोध से (v-11=10) और (v=21) है। दूसरी रेखा की ढाल (v+5=26) है। / Equal (y)-intercepts give (v-11=10) and (v=21). The slope of the second line is (v+5=26).

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Question 147/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

रेखा \(y=-\frac{9}{5}x+22\) में (y) को (54) घटाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=-\frac{9}{5}x+22\), how much should (x) increase to decrease (y) by (54)?

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Correct Answer

C. (30)

Explanation

Simple Explanation

कमी \(\frac{9}{5}\Delta x\) होगी। \(\frac{9}{5}\Delta x=54\) से \(\Delta x=30\) मिलता है। / The decrease is \(\frac{9}{5}\Delta x\). From \(\frac{9}{5}\Delta x=54\), \(\Delta x=30\).

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Question 148/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=(k+8)x+3) (x) के (6) बढ़ने पर (y) (96) बढ़ाती है, तो (k) क्या है?

If (y=(k+8)x+3) increases (y) by (96) when (x) increases by (6), what is (k)?

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Correct Answer

C. (8)

Explanation

Simple Explanation

ढाल (k+8) है और (6(k+8)=96)। इसलिए (k+8=16) और (k=8) है। / The slope is (k+8) and (6(k+8)=96). Therefore (k+8=16) and (k=8).

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Question 149/150 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 40

यदि (y=mx+c) में (c=-18) और (m-c=31), तो ढाल क्या है?

If (c=-18) and (m-c=31) in (y=mx+c), what is the slope?

Explanation opens after your attempt
Correct Answer

C. (13)

Explanation

Simple Explanation

(c=-18) रखने पर (m-(-18)=31) मिलता है। इसलिए (m=13) है। / Putting (c=-18) gives (m-(-18)=31). Therefore (m=13).

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

यदि (y=mx+c) में (m=-6) और (4c+m=42), तो (y)-अवरोध क्या है?

If (m=-6) and (4c+m=42) in (y=mx+c), what is the (y)-intercept?

Explanation opens after your attempt
Correct Answer

C. (12)

Explanation

Simple Explanation

(m=-6) रखने पर (4c-6=42) मिलता है। इससे (4c=48) और (c=12) है। / Putting (m=-6) gives (4c-6=42). Thus (4c=48) and (c=12).

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