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Mathematics Quiz - Class 9 Mathematics Exploring Algebrai...

Question 1/50 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)

Step 1

Concept

From (4y=-16x+52), we get (y=-4x+13). The coefficient is the slope and the constant term is the (y)-intercept.

Step 2

Why this answer is correct

The correct answer is A. ढाल (-4), (y)-अवरोध (13) / Slope (-4), (y)-intercept (13). From (4y=-16x+52), we get (y=-4x+13). The coefficient is the slope and the constant term is the (y)-intercept.

Step 3

Exam Tip

(4y=-16x+52) से (y=-4x+13) मिलता है। गुणांक ढाल और स्थिर पद (y)-अवरोध होता है।

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Question 2/50 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)

Step 1

Concept

The slope is (2k+3). From (2k+3=19), (k=8).

Step 2

Why this answer is correct

The correct answer is B. (8). The slope is (2k+3). From (2k+3=19), (k=8).

Step 3

Exam Tip

ढाल (2k+3) है। (2k+3=19) से (k=8) मिलता है।

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Question 3/50 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)

Step 1

Concept

Dividing by (8) gives (y=3x-8). The constant term (-8) is the (y)-intercept.

Step 2

Why this answer is correct

The correct answer is C. (-8). Dividing by (8) gives (y=3x-8). The constant term (-8) is the (y)-intercept.

Step 3

Exam Tip

(8) से भाग देने पर (y=3x-8) मिलता है। स्थिर पद (-8) (y)-अवरोध है।

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Question 4/50 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)

Step 1

Concept

Substituting the point gives (-20=-7(4)+c). Therefore (c=8).

Step 2

Why this answer is correct

The correct answer is D. (8). Substituting the point gives (-20=-7(4)+c). Therefore (c=8).

Step 3

Exam Tip

बिंदु रखने पर (-20=-7(4)+c) मिलता है। इसलिए (c=8) है।

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Question 5/50 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)

Step 1

Concept

Substituting the point gives (12=-5m-13). Thus (-5m=25) and (m=-5).

Step 2

Why this answer is correct

The correct answer is B. (-5). Substituting the point gives (12=-5m-13). Thus (-5m=25) and (m=-5).

Step 3

Exam Tip

बिंदु रखने पर (12=-5m-13) मिलता है। इससे (-5m=25) और (m=-5) है।

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Question 6/50 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)?

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

From (11x-5y=35), we get \(y=\frac{11}{5}x-7\). Therefore the slope is \(\frac{11}{5}\).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{11}{5}\). From (11x-5y=35), we get \(y=\frac{11}{5}x-7\). Therefore the slope is \(\frac{11}{5}\).

Step 3

Exam Tip

(11x-5y=35) से \(y=\frac{11}{5}x-7\) मिलता है। इसलिए ढाल \(\frac{11}{5}\) है।

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Question 7/50 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)

Step 1

Concept

\(y=\frac{42}{a}x-\frac{70}{a}\). From \(\frac{42}{a}=7\), (a=6).

Step 2

Why this answer is correct

The correct answer is B. (6). \(y=\frac{42}{a}x-\frac{70}{a}\). From \(\frac{42}{a}=7\), (a=6).

Step 3

Exam Tip

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

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Question 8/50 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)

Step 1

Concept

\(y=\frac{36}{k}x-\frac{108}{k}\). From \(-\frac{108}{k}=-18\), (k=6).

Step 2

Why this answer is correct

The correct answer is C. (6). \(y=\frac{36}{k}x-\frac{108}{k}\). From \(-\frac{108}{k}=-18\), (k=6).

Step 3

Exam Tip

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

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Question 9/50 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)

Step 1

Concept

The slope is (5p-2). From (5p-2=38), (p=8).

Step 2

Why this answer is correct

The correct answer is D. (8). The slope is (5p-2). From (5p-2=38), (p=8).

Step 3

Exam Tip

ढाल (5p-2) है। (5p-2=38) से (p=8) मिलता है।

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Question 10/50 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)

Step 1

Concept

To pass through the origin, (r-6=0). Thus (r=6) and the slope is (16).

Step 2

Why this answer is correct

The correct answer is B. (16). To pass through the origin, (r-6=0). Thus (r=6) and the slope is (16).

Step 3

Exam Tip

मूल बिंदु से गुजरने के लिए (r-6=0) होगा। इसलिए (r=6) और ढाल (16) है।

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Question 11/50 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)

Step 1

Concept

From (5y=-20x+85), (y=-4x+17). So the slope is (-4) and the (y)-intercept is (17).

Step 2

Why this answer is correct

The correct answer is A. ढाल (-4), (y)-अवरोध (17) / Slope (-4), (y)-intercept (17). From (5y=-20x+85), (y=-4x+17). So the slope is (-4) and the (y)-intercept is (17).

Step 3

Exam Tip

(5y=-20x+85) से (y=-4x+17) मिलता है। इसलिए ढाल (-4) और (y)-अवरोध (17) है।

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Question 12/50 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)

Step 1

Concept

Putting (x=0) gives (-6y+30=0). Thus (y=5).

Step 2

Why this answer is correct

The correct answer is A. (5). Putting (x=0) gives (-6y+30=0). Thus (y=5).

Step 3

Exam Tip

(x=0) रखने पर (-6y+30=0) मिलता है। इससे (y=5) है।

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Question 13/50 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)

Step 1

Concept

For equal slopes, (q-9=12). This gives (q=21).

Step 2

Why this answer is correct

The correct answer is C. (21). For equal slopes, (q-9=12). This gives (q=21).

Step 3

Exam Tip

समान ढाल के लिए (q-9=12) होना चाहिए। इससे (q=21) मिलता है।

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Question 14/50 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)

Step 1

Concept

The first line has (y)-intercept (s) and the second has (-19). If equal, (s=-19).

Step 2

Why this answer is correct

The correct answer is A. (-19). The first line has (y)-intercept (s) and the second has (-19). If equal, (s=-19).

Step 3

Exam Tip

पहली रेखा का (y)-अवरोध (s) और दूसरी का (-19) है। समान होने पर (s=-19) होगा।

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Question 15/50 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)

Step 1

Concept

The slope is (a+8) and the (y)-intercept is (a). The difference ((a+8)-a=8) holds for every (a).

Step 2

Why this answer is correct

The correct answer is A. यह हर (a) के लिए सही है / It is true for every (a). The slope is (a+8) and the (y)-intercept is (a). The difference ((a+8)-a=8) holds for every (a).

Step 3

Exam Tip

ढाल (a+8) और (y)-अवरोध (a) है। अंतर ((a+8)-a=8) हर (a) के लिए है।

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Question 16/50 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)

Step 1

Concept

From the first point, (23=7(2)+b). So (b=9) and the second point also fits.

Step 2

Why this answer is correct

The correct answer is C. (9). From the first point, (23=7(2)+b). So (b=9) and the second point also fits.

Step 3

Exam Tip

पहले बिंदु से (23=7(2)+b) मिलता है। इसलिए (b=9) है और दूसरा बिंदु भी सही है।

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Question 17/50 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)

Step 1

Concept

The slope from the two points is \(\frac{46-25}{6-3}=7\). Therefore (m=7).

Step 2

Why this answer is correct

The correct answer is C. (7). The slope from the two points is \(\frac{46-25}{6-3}=7\). Therefore (m=7).

Step 3

Exam Tip

दोनों बिंदुओं से ढाल \(\frac{46-25}{6-3}=7\) है। इसलिए (m=7) है।

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Question 18/50 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)

Step 1

Concept

For equal slopes, (k-10=6). This gives (k=16).

Step 2

Why this answer is correct

The correct answer is C. (16). For equal slopes, (k-10=6). This gives (k=16).

Step 3

Exam Tip

समान ढाल के लिए (k-10=6) होगा। इससे (k=16) मिलता है।

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Question 19/50 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)

Step 1

Concept

For equal (y)-intercepts, (-9=m^-14). This gives (m=5).

Step 2

Why this answer is correct

The correct answer is C. (5). For equal (y)-intercepts, (-9=m^-14). This gives (m=5).

Step 3

Exam Tip

समान (y)-अवरोध के लिए (-9=m^-14) होगा। इससे (m=5) मिलता है।

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Question 20/50 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)

Step 1

Concept

The slope is (-8), so the decrease is \(8\Delta x\). From \(8\Delta x=64\), \(\Delta x=8\).

Step 2

Why this answer is correct

The correct answer is C. (8). The slope is (-8), so the decrease is \(8\Delta x\). From \(8\Delta x=64\), \(\Delta x=8\).

Step 3

Exam Tip

ढाल (-8) है, इसलिए कमी \(8\Delta x\) होगी। \(8\Delta x=64\) से \(\Delta x=8\) है।

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Question 21/50 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)

Step 1

Concept

The change is \(\frac{9}{4}\Delta x=36\). This gives \(\Delta x=16\).

Step 2

Why this answer is correct

The correct answer is C. (16). The change is \(\frac{9}{4}\Delta x=36\). This gives \(\Delta x=16\).

Step 3

Exam Tip

परिवर्तन \(\frac{9}{4}\Delta x=36\) होगा। इससे \(\Delta x=16\) मिलता है।

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Question 22/50 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

Step 1

Concept

(p=-9) gives a negative slope and (q=14) gives a positive (y)-intercept. So the line decreases.

Step 2

Why this answer is correct

The correct answer is B. रेखा घटती है और (y)-अवरोध धनात्मक है / The line decreases and the (y)-intercept is positive. (p=-9) gives a negative slope and (q=14) gives a positive (y)-intercept. So the line decreases.

Step 3

Exam Tip

(p=-9) ऋणात्मक ढाल देता है और (q=14) धनात्मक (y)-अवरोध देता है। इसलिए रेखा घटती है।

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Question 23/50 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)

Step 1

Concept

Putting (x=0) gives (ay=54) and \(y=\frac{54}{a}\). From \(\frac{54}{a}=9\), (a=6).

Step 2

Why this answer is correct

The correct answer is C. (6). Putting (x=0) gives (ay=54) and \(y=\frac{54}{a}\). From \(\frac{54}{a}=9\), (a=6).

Step 3

Exam Tip

(x=0) रखने पर (ay=54) और \(y=\frac{54}{a}\) मिलता है। \(\frac{54}{a}=9\) से (a=6) है।

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Question 24/50 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)

Step 1

Concept

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

Step 2

Why this answer is correct

The correct answer is C. (48). From (12y=-bx+96), the slope is \(-\frac{b}{12}\). From \(-\frac{b}{12}=-4\), (b=48).

Step 3

Exam Tip

(12y=-bx+96) से ढाल \(-\frac{b}{12}\) है। \(-\frac{b}{12}=-4\) से (b=48) है।

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Question 25/50 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)

Step 1

Concept

From (5n-7=38), (n=9). The slope is (n-9=0).

Step 2

Why this answer is correct

The correct answer is A. (0). From (5n-7=38), (n=9). The slope is (n-9=0).

Step 3

Exam Tip

(5n-7=38) से (n=9) मिलता है। ढाल (n-9=0) है।

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Question 26/50 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)

Step 1

Concept

From (t-12=6), (t=18). The (y)-intercept is (4t-3=69).

Step 2

Why this answer is correct

The correct answer is C. (69). From (t-12=6), (t=18). The (y)-intercept is (4t-3=69).

Step 3

Exam Tip

(t-12=6) से (t=18) मिलता है। (y)-अवरोध (4t-3=69) है।

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Question 27/50 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)

Step 1

Concept

The slope is \(\frac{70}{7}=10\) and the (y)-intercept is (-16). So the line is (y=10x-16).

Step 2

Why this answer is correct

The correct answer is A. (y=10x-16). The slope is \(\frac{70}{7}=10\) and the (y)-intercept is (-16). So the line is (y=10x-16).

Step 3

Exam Tip

ढाल \(\frac{70}{7}=10\) है और (y)-अवरोध (-16) है। इसलिए रेखा (y=10x-16) है।

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Question 28/50 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)

Step 1

Concept

The slope is \(-\frac{72}{8}=-9\) and the (y)-intercept is (20). So (y=-9x+20) is correct.

Step 2

Why this answer is correct

The correct answer is B. (y=-9x+20). The slope is \(-\frac{72}{8}=-9\) and the (y)-intercept is (20). So (y=-9x+20) is correct.

Step 3

Exam Tip

ढाल \(-\frac{72}{8}=-9\) है और (y)-अवरोध (20) है। इसलिए (y=-9x+20) सही है।

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Question 29/50 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)

Step 1

Concept

To pass through the origin, (a-18=0). Thus (a=18) and the slope is (29).

Step 2

Why this answer is correct

The correct answer is C. (29). To pass through the origin, (a-18=0). Thus (a=18) and the slope is (29).

Step 3

Exam Tip

मूल बिंदु से गुजरने के लिए (a-18=0) होगा। इसलिए (a=18) और ढाल (29) है।

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Question 30/50 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)

Step 1

Concept

From (u+7=19), (u=12). The slope is (4u-3=45).

Step 2

Why this answer is correct

The correct answer is B. (45). From (u+7=19), (u=12). The slope is (4u-3=45).

Step 3

Exam Tip

(u+7=19) से (u=12) मिलता है। ढाल (4u-3=45) है।

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Question 31/50 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)?

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

From (5y=-12x+65), \(y=-\frac{12}{5}x+13\). So the (y)-intercept is (13) and slope is \(-\frac{12}{5}\).

Step 2

Why this answer is correct

The correct answer is A. (y)-अवरोध (13), ढाल \(-\frac{12}{5}\) / (y)-intercept (13), slope \(-\frac{12}{5}\). From (5y=-12x+65), \(y=-\frac{12}{5}x+13\). So the (y)-intercept is (13) and slope is \(-\frac{12}{5}\).

Step 3

Exam Tip

(5y=-12x+65) से \(y=-\frac{12}{5}x+13\) मिलता है। इसलिए (y)-अवरोध (13) और ढाल \(-\frac{12}{5}\) है।

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Question 32/50 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)?

Explanation opens after your attempt

Correct Answer

C. (15)

Step 1

Concept

The same (y)-axis point means equal (y)-intercepts. Therefore (b=15).

Step 2

Why this answer is correct

The correct answer is C. (15). The same (y)-axis point means equal (y)-intercepts. Therefore (b=15).

Step 3

Exam Tip

एक ही (y)-अक्ष बिंदु का अर्थ समान (y)-अवरोध है। इसलिए (b=15) है।

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Question 33/50 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)?

Explanation opens after your attempt

Correct Answer

B. (19)

Step 1

Concept

Equal slopes give (a=11). Putting (x=3), (y=11(3)-14=19).

Step 2

Why this answer is correct

The correct answer is B. (19). Equal slopes give (a=11). Putting (x=3), (y=11(3)-14=19).

Step 3

Exam Tip

समान ढाल से (a=11) है। (x=3) रखने पर (y=11(3)-14=19) है।

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Question 34/50 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)?

Explanation opens after your attempt

Correct Answer

C. (57)

Step 1

Concept

The (y)-intercept (9) gives (c=9). Putting (x=-4), (y=-12(-4)+9=57).

Step 2

Why this answer is correct

The correct answer is C. (57). The (y)-intercept (9) gives (c=9). Putting (x=-4), (y=-12(-4)+9=57).

Step 3

Exam Tip

(y)-अवरोध (9) से (c=9) है। (x=-4) रखने पर (y=-12(-4)+9=57) है।

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Question 35/50 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)?

Explanation opens after your attempt

Correct Answer

C. (18)

Step 1

Concept

The slope is (k-6) and (9(k-6)=108). Therefore (k-6=12) and (k=18).

Step 2

Why this answer is correct

The correct answer is C. (18). The slope is (k-6) and (9(k-6)=108). Therefore (k-6=12) and (k=18).

Step 3

Exam Tip

ढाल (k-6) है और (9(k-6)=108)। इसलिए (k-6=12) और (k=18) है।

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Question 36/50 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)

Step 1

Concept

The slope is (-(p+5)), and the decrease is (6(p+5)=72). So (p+5=12) and (p=7).

Step 2

Why this answer is correct

The correct answer is C. (7). The slope is (-(p+5)), and the decrease is (6(p+5)=72). So (p+5=12) and (p=7).

Step 3

Exam Tip

ढाल (-(p+5)) है और कमी (6(p+5)=72) होगी। इसलिए (p+5=12) और (p=7) है।

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Question 37/50 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?

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

From (10y=9x+60), \(y=\frac{9}{10}x+6\). So at (x=0), (y=6) and the slope is \(\frac{9}{10}\).

Step 2

Why this answer is correct

The correct answer is A. (y=6), ढाल \(\frac{9}{10}\) / (y=6), slope \(\frac{9}{10}\). From (10y=9x+60), \(y=\frac{9}{10}x+6\). So at (x=0), (y=6) and the slope is \(\frac{9}{10}\).

Step 3

Exam Tip

(10y=9x+60) से \(y=\frac{9}{10}x+6\) मिलता है। इसलिए (x=0) पर (y=6) और ढाल \(\frac{9}{10}\) है।

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Question 38/50 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?

Explanation opens after your attempt

Correct Answer

C. (15)

Step 1

Concept

Putting (c=9) gives (m+9=24). Therefore (m=15).

Step 2

Why this answer is correct

The correct answer is C. (15). Putting (c=9) gives (m+9=24). Therefore (m=15).

Step 3

Exam Tip

(c=9) रखने पर (m+9=24) मिलता है। इसलिए (m=15) है।

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Question 39/50 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?

Explanation opens after your attempt

Correct Answer

C. (14)

Step 1

Concept

Slope (-8) gives (m=-8). From (-8+c=6), (c=14).

Step 2

Why this answer is correct

The correct answer is C. (14). Slope (-8) gives (m=-8). From (-8+c=6), (c=14).

Step 3

Exam Tip

ढाल (-8) से (m=-8) है। (-8+c=6) से (c=14) है।

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Question 40/50 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)?

Explanation opens after your attempt

Correct Answer

C. (11)

Step 1

Concept

Substituting the point gives (25=\frac{7}{8}(16)+c). So (25=14+c) and (c=11).

Step 2

Why this answer is correct

The correct answer is C. (11). Substituting the point gives (25=\frac{7}{8}(16)+c). So (25=14+c) and (c=11).

Step 3

Exam Tip

बिंदु रखने पर (25=\frac{7}{8}(16)+c) मिलता है। इसलिए (25=14+c) और (c=11) है।

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Question 41/50 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)?

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

Substituting the point gives (0=18m-9). Thus (18m=9) and \(m=\frac{1}{2}\).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{1}{2}\). Substituting the point gives (0=18m-9). Thus (18m=9) and \(m=\frac{1}{2}\).

Step 3

Exam Tip

बिंदु रखने पर (0=18m-9) मिलता है। इससे (18m=9) और \(m=\frac{1}{2}\) है।

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Question 42/50 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?

Explanation opens after your attempt

Correct Answer

B. (78)

Step 1

Concept

From (a+5=17), (a=12). The slope is (7a-6=78).

Step 2

Why this answer is correct

The correct answer is B. (78). From (a+5=17), (a=12). The slope is (7a-6=78).

Step 3

Exam Tip

(a+5=17) से (a=12) मिलता है। ढाल (7a-6=78) है।

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Question 43/50 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?

Explanation opens after your attempt

Correct Answer

C. (82)

Step 1

Concept

From (b-15=5), (b=20). The (y)-intercept is (4b+2=82).

Step 2

Why this answer is correct

The correct answer is C. (82). From (b-15=5), (b=20). The (y)-intercept is (4b+2=82).

Step 3

Exam Tip

(b-15=5) से (b=20) मिलता है। (y)-अवरोध (4b+2=82) है।

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Question 44/50 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)?

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

From (-10y=-9x-30), \(y=\frac{9}{10}x+3\). So the slope is \(\frac{9}{10}\) and the (y)-intercept is (3).

Step 2

Why this answer is correct

The correct answer is A. ढाल \(\frac{9}{10}\), (y)-अवरोध (3) / Slope \(\frac{9}{10}\), (y)-intercept (3). From (-10y=-9x-30), \(y=\frac{9}{10}x+3\). So the slope is \(\frac{9}{10}\) and the (y)-intercept is (3).

Step 3

Exam Tip

(-10y=-9x-30) से \(y=\frac{9}{10}x+3\) मिलता है। इसलिए ढाल \(\frac{9}{10}\) और (y)-अवरोध (3) है।

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Question 45/50 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)

Step 1

Concept

Equal slopes give (t+6=16) and (t=10). The second line's (y)-intercept is (2t-9=11).

Step 2

Why this answer is correct

The correct answer is B. (11). Equal slopes give (t+6=16) and (t=10). The second line's (y)-intercept is (2t-9=11).

Step 3

Exam Tip

समान ढाल से (t+6=16) और (t=10) है। दूसरी रेखा का (y)-अवरोध (2t-9=11) है।

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Question 46/50 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?

Explanation opens after your attempt

Correct Answer

C. (26)

Step 1

Concept

Equal (y)-intercepts give (v-11=10) and (v=21). The slope of the second line is (v+5=26).

Step 2

Why this answer is correct

The correct answer is C. (26). Equal (y)-intercepts give (v-11=10) and (v=21). The slope of the second line is (v+5=26).

Step 3

Exam Tip

समान (y)-अवरोध से (v-11=10) और (v=21) है। दूसरी रेखा की ढाल (v+5=26) है।

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Question 47/50 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)?

Explanation opens after your attempt

Correct Answer

C. (30)

Step 1

Concept

The decrease is \(\frac{9}{5}\Delta x\). From \(\frac{9}{5}\Delta x=54\), \(\Delta x=30\).

Step 2

Why this answer is correct

The correct answer is C. (30). The decrease is \(\frac{9}{5}\Delta x\). From \(\frac{9}{5}\Delta x=54\), \(\Delta x=30\).

Step 3

Exam Tip

कमी \(\frac{9}{5}\Delta x\) होगी। \(\frac{9}{5}\Delta x=54\) से \(\Delta x=30\) मिलता है।

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Question 48/50 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)?

Explanation opens after your attempt

Correct Answer

C. (8)

Step 1

Concept

The slope is (k+8) and (6(k+8)=96). Therefore (k+8=16) and (k=8).

Step 2

Why this answer is correct

The correct answer is C. (8). The slope is (k+8) and (6(k+8)=96). Therefore (k+8=16) and (k=8).

Step 3

Exam Tip

ढाल (k+8) है और (6(k+8)=96)। इसलिए (k+8=16) और (k=8) है।

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Question 49/50 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)

Step 1

Concept

Putting (c=-18) gives (m-(-18)=31). Therefore (m=13).

Step 2

Why this answer is correct

The correct answer is C. (13). Putting (c=-18) gives (m-(-18)=31). Therefore (m=13).

Step 3

Exam Tip

(c=-18) रखने पर (m-(-18)=31) मिलता है। इसलिए (m=13) है।

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Question 50/50 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)

Step 1

Concept

Putting (m=-6) gives (4c-6=42). Thus (4c=48) and (c=12).

Step 2

Why this answer is correct

The correct answer is C. (12). Putting (m=-6) gives (4c-6=42). Thus (4c=48) and (c=12).

Step 3

Exam Tip

(m=-6) रखने पर (4c-6=42) मिलता है। इससे (4c=48) और (c=12) है।

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Class 9 Mathematics - Exploring Algebraic Identities - Factorisation Expert Quiz

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

समीकरण (11x-5y=35) की ढाल क्या है?

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

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