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

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

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

रेखा (y=3x+8) की ढाल और (y)-अवरोध कौन से हैं?

What are the slope and (y)-intercept of the line (y=3x+8)?

Explanation opens after your attempt
Correct Answer

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

Explanation

Simple Explanation

(y=mx+c) में (m) ढाल और (c) (y)-अवरोध होता है। यहां (m=3) और (c=8) है। / In (y=mx+c), (m) is slope and (c) is the (y)-intercept. Here (m=3) and (c=8).

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

रेखा (y=-5x+12) का (y)-अवरोध बिंदु कौन सा है?

What is the (y)-intercept point of the line (y=-5x+12)?

Explanation opens after your attempt
Correct Answer

B. ( (0,12) )

Explanation

Simple Explanation

(y)-अक्ष पर (x=0) होता है। इसलिए (y=12) और बिंदु ( (0,12) ) है। / On the (y)-axis (x=0). So (y=12) and the point is ( (0,12) ).

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

समीकरण (2y=6x+10) की ढाल क्या है?

What is the slope of the equation (2y=6x+10)?

Explanation opens after your attempt
Correct Answer

C. (3)

Explanation

Simple Explanation

पहले (2) से भाग देकर (y=3x+5) लिखें। इसलिए ढाल (3) है। / First divide by (2) to write (y=3x+5). Therefore the slope is (3).

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

समीकरण (3y=9x-15) का (y)-अवरोध क्या है?

What is the (y)-intercept of the equation (3y=9x-15)?

Explanation opens after your attempt
Correct Answer

D. (-5)

Explanation

Simple Explanation

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

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

रेखा (y=4-2x) की ढाल क्या है?

What is the slope of the line (y=4-2x)?

Explanation opens after your attempt
Correct Answer

B. (-2)

Explanation

Simple Explanation

इसे (y=-2x+4) लिखते हैं। (x) का गुणांक (-2) है। / Write it as (y=-2x+4). The coefficient of (x) is (-2).

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

रेखा (y=7-3x) का (y)-अवरोध क्या है?

What is the (y)-intercept of the line (y=7-3x)?

Explanation opens after your attempt
Correct Answer

A. (7)

Explanation

Simple Explanation

इसे (y=-3x+7) लिखा जा सकता है। स्थिर पद (7) है। / It can be written as (y=-3x+7). The constant term is (7).

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

यदि रेखा की ढाल (6) और (y)-अवरोध (-4) है तो समीकरण कौन सा होगा?

If a line has slope (6) and (y)-intercept (-4), which equation is correct?

Explanation opens after your attempt
Correct Answer

C. (y=6x-4)

Explanation

Simple Explanation

रूप (y=mx+c) में (m=6) और (c=-4) रखें। इसलिए (y=6x-4) है। / In (y=mx+c), put (m=6) and (c=-4). So (y=6x-4).

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

यदि रेखा की ढाल (-4) और (y)-अवरोध (9) है तो समीकरण कौन सा होगा?

If a line has slope (-4) and (y)-intercept (9), which equation is correct?

Explanation opens after your attempt
Correct Answer

D. (y=-4x+9)

Explanation

Simple Explanation

ढाल (x) का गुणांक होती है और (y)-अवरोध स्थिर पद होता है। इसलिए सही रेखा (y=-4x+9) है। / The slope is the coefficient of (x) and the (y)-intercept is the constant term. So the correct line is (y=-4x+9).

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

रेखा (y=5x+c) (y)-अक्ष को ( (0,-3) ) पर काटती है। (c) क्या है?

The line (y=5x+c) cuts the (y)-axis at ( (0,-3) ). What is (c)?

Explanation opens after your attempt
Correct Answer

B. (-3)

Explanation

Simple Explanation

(y)-अक्ष पर (x=0) होता है। तब (y=c) होता है इसलिए (c=-3) है। / On the (y)-axis (x=0). Then (y=c), so (c=-3).

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

रेखा (y=mx+2) की ढाल (-7) है। (m) का मान क्या है?

The line (y=mx+2) has slope (-7). What is the value of (m)?

Explanation opens after your attempt
Correct Answer

C. (-7)

Explanation

Simple Explanation

(y=mx+c) में (m) ढाल के बराबर होता है। इसलिए (m=-7) है। / In (y=mx+c), (m) equals the slope. Therefore (m=-7).

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

रेखा (y=2x+5) में (x) के (3) बढ़ने पर (y) कितना बढ़ेगा?

In the line (y=2x+5), how much will (y) increase when (x) increases by (3)?

Explanation opens after your attempt
Correct Answer

C. (6)

Explanation

Simple Explanation

ढाल (2) है इसलिए परिवर्तन \(2\times3=6\) होगा। ढाल को (x) के बदलाव से गुणा करें। / The slope is (2), so the change is \(2\times3=6\). Multiply slope by the change in (x).

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

रेखा (y=-3x+14) में (x) के (4) बढ़ने पर (y) में कितना परिवर्तन होगा?

In the line (y=-3x+14), what will be the change in (y) when (x) increases by (4)?

Explanation opens after your attempt
Correct Answer

D. (12) घटेगाDecreases by (12)

Explanation

Simple Explanation

ढाल (-3) है। (x) में (4) की वृद्धि से (y) में \(-3\times4=-12\) का परिवर्तन होगा। / The slope is (-3). An increase of (4) in (x) gives change \(-3\times4=-12\) in (y).

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

रेखा (y=6x-9) (y)-अक्ष को किस बिंदु पर काटती है?

At which point does the line (y=6x-9) cut the (y)-axis?

Explanation opens after your attempt
Correct Answer

A. ( (0,-9) )

Explanation

Simple Explanation

(y)-अक्ष पर (x=0) होता है। तब (y=-9) मिलता है। / On the (y)-axis (x=0). Then (y=-9).

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

रेखा (y=-2x-11) (y)-अक्ष को किस बिंदु पर काटती है?

At which point does the line (y=-2x-11) cut the (y)-axis?

Explanation opens after your attempt
Correct Answer

B. ( (0,-11) )

Explanation

Simple Explanation

(x=0) रखने पर (y=-11) मिलता है। इसलिए बिंदु ( (0,-11) ) है। / Putting (x=0) gives (y=-11). Therefore the point is ( (0,-11) ).

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

रेखा (4y=8x+12) में ढाल और (y)-अवरोध क्या हैं?

What are the slope and (y)-intercept of the line (4y=8x+12)?

Explanation opens after your attempt
Correct Answer

B. ढाल (2) और (y)-अवरोध (3)Slope (2) and (y)-intercept (3)

Explanation

Simple Explanation

(4) से भाग देने पर (y=2x+3) मिलता है। इसलिए ढाल (2) और (y)-अवरोध (3) है। / Dividing by (4) gives (y=2x+3). So the slope is (2) and the (y)-intercept is (3).

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

रेखा (5y=-10x+25) में ढाल और (y)-अवरोध क्या हैं?

What are the slope and (y)-intercept of the line (5y=-10x+25)?

Explanation opens after your attempt
Correct Answer

C. ढाल (-2) और (y)-अवरोध (5)Slope (-2) and (y)-intercept (5)

Explanation

Simple Explanation

(5) से भाग देने पर (y=-2x+5) मिलता है। इसलिए ढाल (-2) और (y)-अवरोध (5) है। / Dividing by (5) gives (y=-2x+5). So the slope is (-2) and the (y)-intercept is (5).

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

समीकरण (x+y=6) को (y=mx+c) रूप में लिखने पर ढाल क्या होगी?

When (x+y=6) is written in (y=mx+c) form, what will be the slope?

Explanation opens after your attempt
Correct Answer

C. (-1)

Explanation

Simple Explanation

(x+y=6) से (y=-x+6) मिलता है। इसलिए ढाल (-1) है। / From (x+y=6), we get (y=-x+6). Therefore the slope is (-1).

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

समीकरण (2x+y=9) का (y)-अवरोध क्या है?

What is the (y)-intercept of the equation (2x+y=9)?

Explanation opens after your attempt
Correct Answer

B. (9)

Explanation

Simple Explanation

(2x+y=9) से (y=-2x+9) मिलता है। स्थिर पद (9) (y)-अवरोध है। / From (2x+y=9), we get (y=-2x+9). The constant term (9) is the (y)-intercept.

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

समीकरण (3x-y=6) की ढाल क्या है?

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

Explanation opens after your attempt
Correct Answer

A. (3)

Explanation

Simple Explanation

(3x-y=6) से (y=3x-6) मिलता है। इसलिए ढाल (3) है। / From (3x-y=6), we get (y=3x-6). Therefore the slope is (3).

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

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

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

Explanation opens after your attempt
Correct Answer

B. (8)

Explanation

Simple Explanation

(4x-y=-8) से (y=4x+8) मिलता है। इसलिए (y)-अवरोध (8) है। / From (4x-y=-8), we get (y=4x+8). Therefore the (y)-intercept is (8).

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

रेखा \(y=\frac{3}{2}x-4\) में (x) के (2) बढ़ने पर (y) कितना बढ़ेगा?

In the line \(y=\frac{3}{2}x-4\), how much will (y) increase when (x) increases by (2)?

Explanation opens after your attempt
Correct Answer

B. (3)

Explanation

Simple Explanation

ढाल \(\frac{3}{2}\) है। (2) की वृद्धि पर परिवर्तन \(\frac{3}{2}\times2=3\) है। / The slope is \(\frac{3}{2}\). For an increase of (2), the change is \(\frac{3}{2}\times2=3\).

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

रेखा \(y=-\frac{5}{3}x+7\) में (x) के (3) बढ़ने पर (y) कितना बदलेगा?

In the line \(y=-\frac{5}{3}x+7\), how much will (y) change when (x) increases by (3)?

Explanation opens after your attempt
Correct Answer

C. (5) घटेगाDecreases by (5)

Explanation

Simple Explanation

ढाल \(-\frac{5}{3}\) है। (3) की वृद्धि पर परिवर्तन \(-\frac{5}{3}\times3=-5\) है। / The slope is \(-\frac{5}{3}\). For an increase of (3), the change is \(-\frac{5}{3}\times3=-5\).

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

यदि (y=mx-1) ( (2,7) ) से गुजरती है तो (m) क्या होगा?

If (y=mx-1) passes through ( (2,7) ), what is (m)?

Explanation opens after your attempt
Correct Answer

B. (4)

Explanation

Simple Explanation

बिंदु रखने पर (7=2m-1) मिलता है। इससे (2m=8) और (m=4) है। / Substituting the point gives (7=2m-1). Thus (2m=8) and (m=4).

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

यदि (y=3x+c) ( (4,10) ) से गुजरती है तो (c) क्या होगा?

If (y=3x+c) passes through ( (4,10) ), what is (c)?

Explanation opens after your attempt
Correct Answer

B. (-2)

Explanation

Simple Explanation

बिंदु रखने पर (10=3(4)+c) मिलता है। इससे (c=-2) है। / Substituting the point gives (10=3(4)+c). Thus (c=-2).

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

यदि रेखा (y=2x+c) (y)-अक्ष को ( (0,5) ) पर काटती है तो रेखा क्या है?

If the line (y=2x+c) cuts the (y)-axis at ( (0,5) ), what is the line?

Explanation opens after your attempt
Correct Answer

A. (y=2x+5)

Explanation

Simple Explanation

(y)-अक्ष पर (y)-मान (c) होता है। इसलिए (c=5) और रेखा (y=2x+5) है। / The (y)-value on the (y)-axis is (c). So (c=5) and the line is (y=2x+5).

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

यदि रेखा की ढाल (-3) है और वह (y)-अक्ष को ( (0,4) ) पर काटती है तो समीकरण क्या होगा?

If a line has slope (-3) and cuts the (y)-axis at ( (0,4) ), what is its equation?

Explanation opens after your attempt
Correct Answer

B. (y=-3x+4)

Explanation

Simple Explanation

ढाल (-3) है और (y)-अवरोध (4) है। इसलिए (y=-3x+4) होगा। / The slope is (-3) and the (y)-intercept is (4). Therefore (y=-3x+4).

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

रेखा (y=4x-6) और (y=4x+9) की ढालों के बारे में सही कथन क्या है?

Which statement about the slopes of (y=4x-6) and (y=4x+9) is correct?

Explanation opens after your attempt
Correct Answer

A. दोनों की ढाल समान (4) हैBoth slopes are equal to (4)

Explanation

Simple Explanation

दोनों समीकरणों में (x) का गुणांक (4) है। इसलिए दोनों की ढाल समान है। / In both equations the coefficient of (x) is (4). Therefore both slopes are equal.

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

रेखा (y=-2x+5) और (y=3x+5) के (y)-अवरोधों के बारे में सही कथन क्या है?

Which statement about the (y)-intercepts of (y=-2x+5) and (y=3x+5) is correct?

Explanation opens after your attempt
Correct Answer

B. दोनों के (y)-अवरोध समान (5) हैंBoth (y)-intercepts are equal to (5)

Explanation

Simple Explanation

दोनों में स्थिर पद (5) है। इसलिए दोनों का (y)-अवरोध (5) है। / The constant term is (5) in both. Therefore both (y)-intercepts are (5).

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

कौन सी रेखा (y)-अवरोध (0) और ढाल (-6) रखती है?

Which line has (y)-intercept (0) and slope (-6)?

Explanation opens after your attempt
Correct Answer

A. (y=-6x)

Explanation

Simple Explanation

(y)-अवरोध (0) का अर्थ स्थिर पद नहीं है। ढाल (-6) होने से (y=-6x) है। / (y)-intercept (0) means there is no constant term. With slope (-6), the line is (y=-6x).

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

कौन सी रेखा ढाल (0) और (y)-अवरोध (9) रखती है?

Which line has slope (0) and (y)-intercept (9)?

Explanation opens after your attempt
Correct Answer

B. (y=0x+9)

Explanation

Simple Explanation

ढाल (0) होने पर (x) का गुणांक (0) होगा। (y)-अवरोध (9) से (y=0x+9) मिलता है। / With slope (0), the coefficient of (x) is (0). With (y)-intercept (9), we get (y=0x+9).

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

रेखा (y=-x+6) में (x=0) पर (y) का मान क्या है?

What is the value of (y) at (x=0) in the line (y=-x+6)?

Explanation opens after your attempt
Correct Answer

A. (6)

Explanation

Simple Explanation

(x=0) रखने पर (y=6) मिलता है। यही (y)-अवरोध है। / Putting (x=0) gives (y=6). This is the (y)-intercept.

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

रेखा (y=10-4x) में (x=0) पर (y) का मान क्या है?

What is the value of (y) at (x=0) in the line (y=10-4x)?

Explanation opens after your attempt
Correct Answer

C. (10)

Explanation

Simple Explanation

(x=0) रखने पर (y=10) होता है। इसलिए (y)-अवरोध (10) है। / Putting (x=0), (y=10). Therefore the (y)-intercept is (10).

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

यदि (y=mx+c) में (m>0) और (c<0) है तो कौन सा कथन सही है?

If (m>0) and (c<0) in (y=mx+c), which statement is correct?

Explanation opens after your attempt
Correct Answer

A. ढाल धनात्मक और (y)-अवरोध ऋणात्मक हैSlope is positive and (y)-intercept is negative

Explanation

Simple Explanation

(m) ढाल और (c) (y)-अवरोध बताता है। इसलिए संकेत सीधे (m) और (c) से मिलते हैं। / (m) gives the slope and (c) gives the (y)-intercept. So the signs come directly from (m) and (c).

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

यदि (y=mx+c) में (m<0) और (c>0) है तो रेखा का व्यवहार कैसा होगा?

If (m<0) and (c>0) in (y=mx+c), how will the line behave?

Explanation opens after your attempt
Correct Answer

B. घटती हुई और (y)-अक्ष को धनात्मक भाग में काटती हैDecreasing and cuts positive part of (y)-axis

Explanation

Simple Explanation

(m<0) से रेखा घटती है और (c>0) से (y)-अवरोध धनात्मक है। संकेतों को अलग-अलग पढ़ें। / (m<0) means the line decreases and (c>0) means the (y)-intercept is positive. Read the signs separately.

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

समीकरण (y+5=2x) की ढाल क्या है?

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

Explanation opens after your attempt
Correct Answer

B. (2)

Explanation

Simple Explanation

इसे (y=2x-5) लिखें। (x) का गुणांक (2) है। / Write it as (y=2x-5). The coefficient of (x) is (2).

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

समीकरण (y-7=-3x) का (y)-अवरोध क्या है?

What is the (y)-intercept of the equation (y-7=-3x)?

Explanation opens after your attempt
Correct Answer

A. (7)

Explanation

Simple Explanation

इसे (y=-3x+7) लिखते हैं। स्थिर पद (7) है। / Write it as (y=-3x+7). The constant term is (7).

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

रेखा (y=ax+4) की ढाल (9) है। समीकरण कौन सा होगा?

The line (y=ax+4) has slope (9). Which equation is correct?

Explanation opens after your attempt
Correct Answer

A. (y=9x+4)

Explanation

Simple Explanation

ढाल (a) के बराबर है। (a=9) रखने पर (y=9x+4) मिलता है। / The slope equals (a). Putting (a=9) gives (y=9x+4).

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

रेखा (y=-2x+b) का (y)-अवरोध (-6) है। समीकरण कौन सा होगा?

The line (y=-2x+b) has (y)-intercept (-6). Which equation is correct?

Explanation opens after your attempt
Correct Answer

B. (y=-2x-6)

Explanation

Simple Explanation

(b) ही (y)-अवरोध है। (b=-6) रखने पर (y=-2x-6) बनता है। / (b) is the (y)-intercept. Putting (b=-6) gives (y=-2x-6).

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

दो रेखाएं (y=3x+1) और (y=3x-5) कैसी होंगी?

How are the two lines (y=3x+1) and (y=3x-5) related?

Explanation opens after your attempt
Correct Answer

A. वे समान ढाल वाली हैंThey have the same slope

Explanation

Simple Explanation

दोनों में (x) का गुणांक (3) है। इसलिए उनकी ढाल समान है। / Both have coefficient (3) of (x). Therefore their slopes are the same.

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

दो रेखाएं (y=2x+7) और (y=-5x+7) कैसी समानता रखती हैं?

What similarity do the two lines (y=2x+7) and (y=-5x+7) have?

Explanation opens after your attempt
Correct Answer

B. दोनों का (y)-अवरोध समान हैBoth have the same (y)-intercept

Explanation

Simple Explanation

दोनों में स्थिर पद (7) है। इसलिए दोनों का (y)-अवरोध समान है। / Both have constant term (7). Therefore both have the same (y)-intercept.

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

रेखा (y=12) की ढाल और (y)-अवरोध कौन से हैं?

What are the slope and (y)-intercept of the line (y=12)?

Explanation opens after your attempt
Correct Answer

B. ढाल (0) और (y)-अवरोध (12)Slope (0) and (y)-intercept (12)

Explanation

Simple Explanation

(y=12) क्षैतिज रेखा है। इसकी ढाल (0) और (y)-अवरोध (12) है। / (y=12) is a horizontal line. Its slope is (0) and its (y)-intercept is (12).

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

रेखा (y=-9) की ढाल और (y)-अवरोध कौन से हैं?

What are the slope and (y)-intercept of the line (y=-9)?

Explanation opens after your attempt
Correct Answer

C. ढाल (0) और (y)-अवरोध (-9)Slope (0) and (y)-intercept (-9)

Explanation

Simple Explanation

स्थिर रेखा (y=-9) की ढाल (0) होती है। (x=0) पर (y=-9) मिलता है। / The constant line (y=-9) has slope (0). At (x=0), (y=-9).

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

रेखा \(y=\frac{1}{4}x+6\) में (x) के (8) बढ़ने पर (y) कितना बढ़ेगा?

In the line \(y=\frac{1}{4}x+6\), how much will (y) increase when (x) increases by (8)?

Explanation opens after your attempt
Correct Answer

B. (2)

Explanation

Simple Explanation

ढाल \(\frac{1}{4}\) है। परिवर्तन \(\frac{1}{4}\times8=2\) होगा। / The slope is \(\frac{1}{4}\). The change will be \(\frac{1}{4}\times8=2\).

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

रेखा \(y=-\frac{2}{5}x+3\) में (x) के (10) बढ़ने पर (y) कितना घटेगा?

In the line \(y=-\frac{2}{5}x+3\), how much will (y) decrease when (x) increases by (10)?

Explanation opens after your attempt
Correct Answer

C. (4)

Explanation

Simple Explanation

ढाल \(-\frac{2}{5}\) है। परिवर्तन \(-\frac{2}{5}\times10=-4\) है इसलिए कमी (4) है। / The slope is \(-\frac{2}{5}\). The change is \(-\frac{2}{5}\times10=-4\), so the decrease is (4).

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

यदि (y=mx+5) रेखा ( (3,14) ) से गुजरती है तो ढाल क्या है?

If the line (y=mx+5) passes through ( (3,14) ), what is the slope?

Explanation opens after your attempt
Correct Answer

B. (3)

Explanation

Simple Explanation

बिंदु रखने पर (14=3m+5) मिलता है। इससे (3m=9) और (m=3) है। / Substituting the point gives (14=3m+5). Thus (3m=9) and (m=3).

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

यदि (y=-4x+c) रेखा ( (2,1) ) से गुजरती है तो (y)-अवरोध क्या है?

If the line (y=-4x+c) passes through ( (2,1) ), what is the (y)-intercept?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

बिंदु रखने पर (1=-4(2)+c) मिलता है। इसलिए (c=9) (y)-अवरोध है। / Substituting the point gives (1=-4(2)+c). Therefore (c=9) is the (y)-intercept.

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

कौन सी रेखा (x=0) पर (y=4) देती है और ढाल (3) रखती है?

Which line gives (y=4) at (x=0) and has slope (3)?

Explanation opens after your attempt
Correct Answer

A. (y=3x+4)

Explanation

Simple Explanation

(x=0) पर (y=4) का अर्थ (y)-अवरोध (4) है। ढाल (3) से रेखा (y=3x+4) है। / (y=4) at (x=0) means the (y)-intercept is (4). With slope (3), the line is (y=3x+4).

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

कौन सी रेखा (x=0) पर (y=-2) देती है और ढाल (-5) रखती है?

Which line gives (y=-2) at (x=0) and has slope (-5)?

Explanation opens after your attempt
Correct Answer

C. (y=-5x-2)

Explanation

Simple Explanation

(x=0) पर (y=-2) से (c=-2) मिलता है। ढाल (-5) होने से (y=-5x-2) सही है। / At (x=0), (y=-2) gives (c=-2). With slope (-5), (y=-5x-2) is correct.

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

रेखा (y=8x-3) और (y=-8x-3) के बारे में सही कथन क्या है?

Which statement about (y=8x-3) and (y=-8x-3) is correct?

Explanation opens after your attempt
Correct Answer

B. ढाल अलग है और (y)-अवरोध समान हैंSlopes are different and (y)-intercepts are same

Explanation

Simple Explanation

ढालें (8) और (-8) हैं लेकिन स्थिर पद (-3) दोनों में समान है। इसलिए (y)-अवरोध समान है। / The slopes are (8) and (-8), but the constant term (-3) is same in both. So the (y)-intercepts are equal.

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

रेखा (y=-6x+2) और (y=-6x-7) के बारे में सही कथन क्या है?

Which statement about (y=-6x+2) and (y=-6x-7) is correct?

Explanation opens after your attempt
Correct Answer

A. ढाल समान है और (y)-अवरोध अलग हैंSlopes are same and (y)-intercepts are different

Explanation

Simple Explanation

दोनों में (x) का गुणांक (-6) है। स्थिर पद (2) और (-7) अलग हैं। / Both have coefficient (-6) of (x). The constant terms (2) and (-7) are different.

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

समीकरण (2y=10x+14) को (y=mx+c) रूप में लिखने पर ढाल क्या होगी?

When the equation (2y=10x+14) is written in (y=mx+c) form, what will be the slope?

Explanation opens after your attempt
Correct Answer

B. (5)

Explanation

Simple Explanation

(2) से भाग देने पर (y=5x+7) मिलता है। इसलिए ढाल (5) है। / Dividing by (2) gives (y=5x+7). Therefore the slope is (5).

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

समीकरण (4y=12x-20) का (y)-अवरोध क्या है?

What is the (y)-intercept of the equation (4y=12x-20)?

Explanation opens after your attempt
Correct Answer

B. (-5)

Explanation

Simple Explanation

(4) से भाग देने पर (y=3x-5) मिलता है। स्थिर पद (-5) (y)-अवरोध है। / Dividing by (4) gives (y=3x-5). The constant term (-5) is the (y)-intercept.

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

समीकरण (3x+y=11) की ढाल क्या है?

What is the slope of the equation (3x+y=11)?

Explanation opens after your attempt
Correct Answer

C. (-3)

Explanation

Simple Explanation

इसे (y=-3x+11) लिखा जाता है। (x) का गुणांक (-3) ढाल है। / It is written as (y=-3x+11). The coefficient of (x), (-3), is the slope.

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

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

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

Explanation opens after your attempt
Correct Answer

A. (-15)

Explanation

Simple Explanation

(5x-y=15) से (y=5x-15) मिलता है। इसलिए (y)-अवरोध (-15) है। / From (5x-y=15), we get (y=5x-15). Therefore the (y)-intercept is (-15).

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

रेखा (y=18-6x) की ढाल और (y)-अवरोध कौन से हैं?

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

Explanation opens after your attempt
Correct Answer

A. ढाल (-6) और (y)-अवरोध (18)Slope (-6) and (y)-intercept (18)

Explanation

Simple Explanation

इसे (y=-6x+18) लिखें। इसलिए ढाल (-6) और (y)-अवरोध (18) है। / Write it as (y=-6x+18). So the slope is (-6) and the (y)-intercept is (18).

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

रेखा (y=-4x+13) (y)-अक्ष को किस बिंदु पर काटती है?

At which point does the line (y=-4x+13) cut the (y)-axis?

Explanation opens after your attempt
Correct Answer

C. ( (0,13) )

Explanation

Simple Explanation

(y)-अक्ष पर (x=0) होता है। तब (y=13) मिलता है। / On the (y)-axis, (x=0). Then (y=13).

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

यदि रेखा की ढाल (7) और (y)-अवरोध (-2) है तो समीकरण कौन सा होगा?

If a line has slope (7) and (y)-intercept (-2), which equation is correct?

Explanation opens after your attempt
Correct Answer

A. (y=7x-2)

Explanation

Simple Explanation

रूप (y=mx+c) में (m=7) और (c=-2) रखें। सही समीकरण (y=7x-2) है। / In (y=mx+c), put (m=7) and (c=-2). The correct equation is (y=7x-2).

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

यदि रेखा की ढाल (-8) और (y)-अवरोध (5) है तो समीकरण कौन सा होगा?

If a line has slope (-8) and (y)-intercept (5), which equation is correct?

Explanation opens after your attempt
Correct Answer

C. (y=-8x+5)

Explanation

Simple Explanation

ढाल (x) का गुणांक और (y)-अवरोध स्थिर पद होता है। इसलिए (y=-8x+5) सही है। / The slope is the coefficient of (x) and the (y)-intercept is the constant term. So (y=-8x+5) is correct.

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

रेखा (y=mx-6) की ढाल (4) है। (m) का मान क्या है?

The line (y=mx-6) has slope (4). What is the value of (m)?

Explanation opens after your attempt
Correct Answer

A. (4)

Explanation

Simple Explanation

(y=mx+c) में (m) ही ढाल है। इसलिए (m=4) है। / In (y=mx+c), (m) itself is the slope. Therefore (m=4).

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

रेखा (y=-3x+c) (y)-अक्ष को ( (0,9) ) पर काटती है। (c) क्या है?

The line (y=-3x+c) cuts the (y)-axis at ( (0,9) ). What is (c)?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

(y)-अक्ष पर (x=0) होता है और (y=c) होता है। इसलिए (c=9) है। / On the (y)-axis, (x=0), and (y=c). Therefore (c=9).

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

रेखा (y=5x+1) में (x) के (4) बढ़ने पर (y) कितना बढ़ेगा?

In the line (y=5x+1), how much will (y) increase when (x) increases by (4)?

Explanation opens after your attempt
Correct Answer

B. (20)

Explanation

Simple Explanation

ढाल (5) है। (x) में (4) की वृद्धि से (y) \(5\times4=20\) बढ़ेगा। / The slope is (5). An increase of (4) in (x) makes (y) increase by \(5\times4=20\).

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

रेखा (y=-6x+20) में (x) के (3) बढ़ने पर (y) में क्या परिवर्तन होगा?

In the line (y=-6x+20), what change will occur in (y) when (x) increases by (3)?

Explanation opens after your attempt
Correct Answer

C. (18) घटेगाDecreases by (18)

Explanation

Simple Explanation

ढाल (-6) है। परिवर्तन \(-6\times3=-18\) है इसलिए (y) (18) घटेगा। / The slope is (-6). The change is \(-6\times3=-18\), so (y) decreases by (18).

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

समीकरण (6y=-12x+30) में ढाल और (y)-अवरोध क्या हैं?

What are the slope and (y)-intercept in the equation (6y=-12x+30)?

Explanation opens after your attempt
Correct Answer

B. ढाल (-2) और (y)-अवरोध (5)Slope (-2) and (y)-intercept (5)

Explanation

Simple Explanation

(6) से भाग देने पर (y=-2x+5) मिलता है। इसलिए ढाल (-2) और (y)-अवरोध (5) है। / Dividing by (6) gives (y=-2x+5). So the slope is (-2) and the (y)-intercept is (5).

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

समीकरण (2x+3y=12) का (y)-अवरोध क्या है?

What is the (y)-intercept of the equation (2x+3y=12)?

Explanation opens after your attempt
Correct Answer

C. (4)

Explanation

Simple Explanation

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

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

समीकरण (4x+2y=10) की ढाल क्या है?

What is the slope of the equation (4x+2y=10)?

Explanation opens after your attempt
Correct Answer

B. (-2)

Explanation

Simple Explanation

(2y=-4x+10) और (y=-2x+5) है। इसलिए ढाल (-2) है। / (2y=-4x+10) and (y=-2x+5). Therefore the slope is (-2).

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

रेखा \(y=\frac{5}{2}x-7\) में (x) के (2) बढ़ने पर (y) कितना बढ़ेगा?

In the line \(y=\frac{5}{2}x-7\), how much will (y) increase when (x) increases by (2)?

Explanation opens after your attempt
Correct Answer

B. (5)

Explanation

Simple Explanation

ढाल \(\frac{5}{2}\) है। परिवर्तन \(\frac{5}{2}\times2=5\) होगा। / The slope is \(\frac{5}{2}\). The change will be \(\frac{5}{2}\times2=5\).

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

रेखा \(y=-\frac{3}{4}x+6\) में (x) के (8) बढ़ने पर (y) कितना घटेगा?

In the line \(y=-\frac{3}{4}x+6\), how much will (y) decrease when (x) increases by (8)?

Explanation opens after your attempt
Correct Answer

C. (6)

Explanation

Simple Explanation

ढाल \(-\frac{3}{4}\) है। परिवर्तन \(-\frac{3}{4}\times8=-6\) है इसलिए कमी (6) है। / The slope is \(-\frac{3}{4}\). The change is \(-\frac{3}{4}\times8=-6\), so the decrease is (6).

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

यदि (y=mx+2) रेखा ( (3,17) ) से गुजरती है तो (m) क्या होगा?

If (y=mx+2) passes through ( (3,17) ), what will (m) be?

Explanation opens after your attempt
Correct Answer

C. (5)

Explanation

Simple Explanation

बिंदु रखने पर (17=3m+2) मिलता है। इससे (3m=15) और (m=5) है। / Substituting the point gives (17=3m+2). Thus (3m=15) and (m=5).

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

यदि (y=-2x+c) रेखा ( (4,1) ) से गुजरती है तो (c) क्या होगा?

If (y=-2x+c) passes through ( (4,1) ), what will (c) be?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

बिंदु रखने पर (1=-2(4)+c) मिलता है। इसलिए (c=9) है। / Substituting the point gives (1=-2(4)+c). Therefore (c=9).

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

यदि रेखा की ढाल (2) है और वह (y)-अक्ष को ( (0,-5) ) पर काटती है तो समीकरण क्या होगा?

If a line has slope (2) and cuts the (y)-axis at ( (0,-5) ), what is its equation?

Explanation opens after your attempt
Correct Answer

A. (y=2x-5)

Explanation

Simple Explanation

ढाल (2) है और (y)-अवरोध (-5) है। इसलिए (y=2x-5) है। / The slope is (2) and the (y)-intercept is (-5). Therefore (y=2x-5).

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

यदि रेखा की ढाल (-5) है और (x=0) पर (y=3) है तो रेखा कौन सी है?

If a line has slope (-5) and (y=3) at (x=0), which line is it?

Explanation opens after your attempt
Correct Answer

B. (y=-5x+3)

Explanation

Simple Explanation

(x=0) पर (y=3) का अर्थ (y)-अवरोध (3) है। ढाल (-5) से (y=-5x+3) बनता है। / (y=3) at (x=0) means the (y)-intercept is (3). With slope (-5), the line is (y=-5x+3).

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

रेखाएं (y=4x+7) और (y=4x-2) के बारे में सही कथन क्या है?

Which statement about the lines (y=4x+7) and (y=4x-2) is correct?

Explanation opens after your attempt
Correct Answer

A. दोनों की ढाल समान हैBoth have the same slope

Explanation

Simple Explanation

दोनों में (x) का गुणांक (4) है। इसलिए दोनों की ढाल समान है। / Both have coefficient (4) of (x). Therefore both have the same slope.

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

रेखाएं (y=6x-1) और (y=-3x-1) के बारे में सही कथन क्या है?

Which statement about the lines (y=6x-1) and (y=-3x-1) is correct?

Explanation opens after your attempt
Correct Answer

B. दोनों का (y)-अवरोध समान हैBoth have the same (y)-intercept

Explanation

Simple Explanation

दोनों में स्थिर पद (-1) है। इसलिए दोनों का (y)-अवरोध समान है। / Both have constant term (-1). Therefore both have the same (y)-intercept.

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

कौन सी रेखा ढाल (0) और (y)-अवरोध (-4) रखती है?

Which line has slope (0) and (y)-intercept (-4)?

Explanation opens after your attempt
Correct Answer

B. (y=0x-4)

Explanation

Simple Explanation

ढाल (0) होने पर (x) का गुणांक (0) होगा। (y)-अवरोध (-4) से (y=0x-4) है। / With slope (0), the coefficient of (x) is (0). With (y)-intercept (-4), the line is (y=0x-4).

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

कौन सी रेखा मूल बिंदु से गुजरती है और ढाल (9) रखती है?

Which line passes through the origin and has slope (9)?

Explanation opens after your attempt
Correct Answer

A. (y=9x)

Explanation

Simple Explanation

मूल बिंदु से गुजरने पर (y)-अवरोध (0) होता है। ढाल (9) होने से (y=9x) सही है। / Passing through the origin means the (y)-intercept is (0). With slope (9), (y=9x) is correct.

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

रेखा (y=-x+8) में (x=0) पर (y) का मान क्या है?

What is the value of (y) at (x=0) in the line (y=-x+8)?

Explanation opens after your attempt
Correct Answer

A. (8)

Explanation

Simple Explanation

(x=0) रखने पर (y=8) मिलता है। यही (y)-अवरोध है। / Putting (x=0) gives (y=8). This is the (y)-intercept.

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

रेखा (y=14-7x) में (x=0) पर (y) का मान क्या है?

What is the value of (y) at (x=0) in the line (y=14-7x)?

Explanation opens after your attempt
Correct Answer

C. (14)

Explanation

Simple Explanation

(x=0) रखने पर (y=14) होता है। इसलिए (y)-अवरोध (14) है। / Putting (x=0), (y=14). Therefore the (y)-intercept is (14).

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

यदि (y=mx+c) में (m<0) और (c<0) है तो कौन सा कथन सही है?

If (m<0) and (c<0) in (y=mx+c), which statement is correct?

Explanation opens after your attempt
Correct Answer

B. ढाल ऋणात्मक और (y)-अवरोध ऋणात्मक हैSlope is negative and (y)-intercept is negative

Explanation

Simple Explanation

(m) ढाल है और (c) (y)-अवरोध है। दोनों ऋणात्मक होने से कथन (B) सही है। / (m) is the slope and (c) is the (y)-intercept. Since both are negative, statement (B) is correct.

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

यदि (y=mx+c) में (m>0) और (c=0) है तो रेखा के बारे में क्या सही है?

If (m>0) and (c=0) in (y=mx+c), what is correct about the line?

Explanation opens after your attempt
Correct Answer

B. रेखा बढ़ती है और मूल बिंदु से गुजरती हैThe line increases and passes through origin

Explanation

Simple Explanation

(m>0) से रेखा बढ़ती है और (c=0) से वह मूल बिंदु से गुजरती है। संकेतों को ध्यान से पढ़ें। / (m>0) makes the line increasing and (c=0) makes it pass through the origin. Read the signs carefully.

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

समीकरण (y+4=3x) का (y)-अवरोध क्या है?

What is the (y)-intercept of the equation (y+4=3x)?

Explanation opens after your attempt
Correct Answer

C. (-4)

Explanation

Simple Explanation

इसे (y=3x-4) लिखा जाता है। स्थिर पद (-4) (y)-अवरोध है। / It is written as (y=3x-4). The constant term (-4) is the (y)-intercept.

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

समीकरण (y-5=-2x) की ढाल क्या है?

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

Explanation opens after your attempt
Correct Answer

B. (-2)

Explanation

Simple Explanation

इसे (y=-2x+5) लिखें। (x) का गुणांक (-2) है। / Write it as (y=-2x+5). The coefficient of (x) is (-2).

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

रेखा (y=ax-3) की ढाल (-6) है। समीकरण कौन सा होगा?

The line (y=ax-3) has slope (-6). Which equation is correct?

Explanation opens after your attempt
Correct Answer

B. (y=-6x-3)

Explanation

Simple Explanation

ढाल (a) के बराबर है। (a=-6) रखने पर (y=-6x-3) मिलता है। / The slope equals (a). Putting (a=-6) gives (y=-6x-3).

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

रेखा (y=4x+b) का (y)-अवरोध (11) है। समीकरण कौन सा होगा?

The line (y=4x+b) has (y)-intercept (11). Which equation is correct?

Explanation opens after your attempt
Correct Answer

C. (y=4x+11)

Explanation

Simple Explanation

(b) (y)-अवरोध है। (b=11) रखने पर (y=4x+11) बनता है। / (b) is the (y)-intercept. Putting (b=11) gives (y=4x+11).

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

दो रेखाएं (y=-3x+4) और (y=-3x-8) कैसी हैं?

How are the two lines (y=-3x+4) and (y=-3x-8) related?

Explanation opens after your attempt
Correct Answer

A. उनकी ढाल समान हैTheir slopes are the same

Explanation

Simple Explanation

दोनों में (x) का गुणांक (-3) है। स्थिर पद अलग हैं इसलिए (y)-अवरोध अलग होंगे। / Both have coefficient (-3) of (x). Their constant terms are different, so their (y)-intercepts are different.

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

दो रेखाएं (y=2x-6) और (y=-7x-6) कैसी समानता रखती हैं?

What similarity do the two lines (y=2x-6) and (y=-7x-6) have?

Explanation opens after your attempt
Correct Answer

B. दोनों का (y)-अवरोध समान हैBoth have the same (y)-intercept

Explanation

Simple Explanation

दोनों में स्थिर पद (-6) है। इसलिए दोनों का (y)-अवरोध समान है। / Both have constant term (-6). Therefore both have the same (y)-intercept.

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

रेखा (y=-15) की ढाल और (y)-अवरोध क्या हैं?

What are the slope and (y)-intercept of the line (y=-15)?

Explanation opens after your attempt
Correct Answer

B. ढाल (0) और (y)-अवरोध (-15)Slope (0) and (y)-intercept (-15)

Explanation

Simple Explanation

(y=-15) क्षैतिज रेखा है। इसकी ढाल (0) और (y)-अवरोध (-15) है। / (y=-15) is a horizontal line. Its slope is (0) and its (y)-intercept is (-15).

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

रेखा (y=0x+6) में (x) के (10) बढ़ने पर (y) में कितना परिवर्तन होगा?

In the line (y=0x+6), what change will occur in (y) when (x) increases by (10)?

Explanation opens after your attempt
Correct Answer

A. (0)

Explanation

Simple Explanation

ढाल (0) है। इसलिए (x) बदलने पर भी (y) में कोई परिवर्तन नहीं होगा। / The slope is (0). So even when (x) changes, there is no change in (y).

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

रेखा \(y=\frac{2}{3}x+1\) में (x) के (9) बढ़ने पर (y) कितना बढ़ेगा?

In the line \(y=\frac{2}{3}x+1\), how much will (y) increase when (x) increases by (9)?

Explanation opens after your attempt
Correct Answer

B. (6)

Explanation

Simple Explanation

ढाल \(\frac{2}{3}\) है। परिवर्तन \(\frac{2}{3}\times9=6\) होगा। / The slope is \(\frac{2}{3}\). The change will be \(\frac{2}{3}\times9=6\).

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

रेखा \(y=-\frac{4}{5}x+12\) में (x) के (15) बढ़ने पर (y) कितना घटेगा?

In the line \(y=-\frac{4}{5}x+12\), how much will (y) decrease when (x) increases by (15)?

Explanation opens after your attempt
Correct Answer

C. (12)

Explanation

Simple Explanation

ढाल \(-\frac{4}{5}\) है। परिवर्तन \(-\frac{4}{5}\times15=-12\) है इसलिए कमी (12) है। / The slope is \(-\frac{4}{5}\). The change is \(-\frac{4}{5}\times15=-12\), so the decrease is (12).

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

यदि (y=mx-4) रेखा ( (2,6) ) से गुजरती है तो ढाल क्या है?

If the line (y=mx-4) passes through ( (2,6) ), what is the slope?

Explanation opens after your attempt
Correct Answer

C. (5)

Explanation

Simple Explanation

बिंदु रखने पर (6=2m-4) मिलता है। इससे (2m=10) और (m=5) है। / Substituting the point gives (6=2m-4). Thus (2m=10) and (m=5).

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

यदि (y=5x+c) रेखा ( (3,8) ) से गुजरती है तो (y)-अवरोध क्या है?

If the line (y=5x+c) passes through ( (3,8) ), what is the (y)-intercept?

Explanation opens after your attempt
Correct Answer

B. (-7)

Explanation

Simple Explanation

बिंदु रखने पर (8=5(3)+c) मिलता है। इसलिए (c=-7) (y)-अवरोध है। / Substituting the point gives (8=5(3)+c). Therefore (c=-7) is the (y)-intercept.

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

कौन सी रेखा (x=0) पर (y=12) देती है और ढाल (-4) रखती है?

Which line gives (y=12) at (x=0) and has slope (-4)?

Explanation opens after your attempt
Correct Answer

B. (y=-4x+12)

Explanation

Simple Explanation

(x=0) पर (y=12) से (c=12) मिलता है। ढाल (-4) होने से (y=-4x+12) सही है। / At (x=0), (y=12) gives (c=12). With slope (-4), (y=-4x+12) is correct.

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

कौन सी रेखा (x=0) पर (y=-8) देती है और ढाल (6) रखती है?

Which line gives (y=-8) at (x=0) and has slope (6)?

Explanation opens after your attempt
Correct Answer

A. (y=6x-8)

Explanation

Simple Explanation

(x=0) पर (y=-8) का अर्थ (c=-8) है। ढाल (6) से रेखा (y=6x-8) है। / (y=-8) at (x=0) means (c=-8). With slope (6), the line is (y=6x-8).

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

रेखा (y=9x+2) और (y=-9x+2) के बारे में सही कथन क्या है?

Which statement about (y=9x+2) and (y=-9x+2) is correct?

Explanation opens after your attempt
Correct Answer

B. ढाल अलग है और (y)-अवरोध समान हैंSlopes are different and (y)-intercepts are same

Explanation

Simple Explanation

ढालें (9) और (-9) हैं लेकिन स्थिर पद (2) समान है। इसलिए (y)-अवरोध समान हैं। / The slopes are (9) and (-9), but the constant term (2) is the same. So the (y)-intercepts are the same.

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

रेखा (y=-2x+10) और (y=-2x-3) के बारे में सही कथन क्या है?

Which statement about (y=-2x+10) and (y=-2x-3) is correct?

Explanation opens after your attempt
Correct Answer

A. ढाल समान है और (y)-अवरोध अलग हैंSlopes are same and (y)-intercepts are different

Explanation

Simple Explanation

दोनों में (x) का गुणांक (-2) है। स्थिर पद (10) और (-3) अलग हैं। / Both have coefficient (-2) of (x). The constant terms (10) and (-3) are different.

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

रेखा (y=11x-4) में ढाल का चिन्ह और (y)-अवरोध का चिन्ह क्या है?

What are the signs of the slope and the (y)-intercept in the line (y=11x-4)?

Explanation opens after your attempt
Correct Answer

A. ढाल धनात्मक और (y)-अवरोध ऋणात्मकSlope positive and (y)-intercept negative

Explanation

Simple Explanation

ढाल (11) है जो धनात्मक है और स्थिर पद (-4) ऋणात्मक है। संकेत अलग-अलग देखें। / The slope is (11), which is positive, and the constant term (-4) is negative. Check the signs separately.

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

रेखा (y=-7x+9) में ढाल का चिन्ह और (y)-अवरोध का चिन्ह क्या है?

What are the signs of the slope and the (y)-intercept in the line (y=-7x+9)?

Explanation opens after your attempt
Correct Answer

B. ढाल ऋणात्मक और (y)-अवरोध धनात्मकSlope negative and (y)-intercept positive

Explanation

Simple Explanation

ढाल (-7) ऋणात्मक है और (y)-अवरोध (9) धनात्मक है। (x) के गुणांक और स्थिर पद को पहचानें। / The slope (-7) is negative and the (y)-intercept (9) is positive. Identify the coefficient of (x) and the constant term.

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

यदि (y=3x+c) का (y)-अवरोध (2) है तो (x=4) पर (y) क्या होगा?

If (y=3x+c) has (y)-intercept (2), what will (y) be at (x=4)?

Explanation opens after your attempt
Correct Answer

C. (14)

Explanation

Simple Explanation

(y)-अवरोध (2) से (c=2) है। (x=4) रखने पर (y=3(4)+2=14) है। / The (y)-intercept (2) gives (c=2). Putting (x=4), (y=3(4)+2=14).

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

यदि (y=mx-5) की ढाल (4) है तो (x=3) पर (y) क्या होगा?

If (y=mx-5) has slope (4), what will (y) be at (x=3)?

Explanation opens after your attempt
Correct Answer

B. (7)

Explanation

Simple Explanation

ढाल (4) से (m=4) है। (x=3) रखने पर (y=4(3)-5=7) मिलता है। / Slope (4) gives (m=4). Putting (x=3), (y=4(3)-5=7).

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

रेखा (y=-5x+16) में (x) (1) से (5) तक बढ़े तो (y) में कुल परिवर्तन क्या होगा?

In the line (y=-5x+16), what is the total change in (y) when (x) increases from (1) to (5)?

Explanation opens after your attempt
Correct Answer

C. (20) घटेगाDecreases by (20)

Explanation

Simple Explanation

(x) में परिवर्तन (5-1=4) है। (y) का परिवर्तन \(-5\times4=-20\) है। / The change in (x) is (5-1=4). The change in (y) is \(-5\times4=-20\).

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

समीकरण (3y=15x+18) को (y=mx+c) रूप में लिखने पर ढाल क्या होगी?

When the equation (3y=15x+18) is written in (y=mx+c) form, what will be the slope?

Explanation opens after your attempt
Correct Answer

B. (5)

Explanation

Simple Explanation

(3) से भाग देने पर (y=5x+6) मिलता है। इसलिए ढाल (5) है। / Dividing by (3) gives (y=5x+6). Therefore the slope is (5).

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

समीकरण (5y=20x-35) का (y)-अवरोध क्या है?

What is the (y)-intercept of the equation (5y=20x-35)?

Explanation opens after your attempt
Correct Answer

B. (-7)

Explanation

Simple Explanation

(5) से भाग देने पर (y=4x-7) मिलता है। स्थिर पद (-7) (y)-अवरोध है। / Dividing by (5) gives (y=4x-7). The constant term (-7) is the (y)-intercept.

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

समीकरण (4x+y=13) की ढाल क्या है?

What is the slope of the equation (4x+y=13)?

Explanation opens after your attempt
Correct Answer

C. (-4)

Explanation

Simple Explanation

इसे (y=-4x+13) लिखा जाता है। (x) का गुणांक (-4) ढाल है। / It is written as (y=-4x+13). The coefficient of (x), (-4), is the slope.

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

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

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

Explanation opens after your attempt
Correct Answer

A. (-18)

Explanation

Simple Explanation

(6x-y=18) से (y=6x-18) मिलता है। इसलिए (y)-अवरोध (-18) है। / From (6x-y=18), we get (y=6x-18). Therefore the (y)-intercept is (-18).

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

रेखा (y=21-7x) की ढाल और (y)-अवरोध कौन से हैं?

What are the slope and (y)-intercept of the line (y=21-7x)?

Explanation opens after your attempt
Correct Answer

A. ढाल (-7) और (y)-अवरोध (21)Slope (-7) and (y)-intercept (21)

Explanation

Simple Explanation

इसे (y=-7x+21) लिखें। इसलिए ढाल (-7) और (y)-अवरोध (21) है। / Write it as (y=-7x+21). So the slope is (-7) and the (y)-intercept is (21).

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

रेखा (y=-6x+17) (y)-अक्ष को किस बिंदु पर काटती है?

At which point does the line (y=-6x+17) cut the (y)-axis?

Explanation opens after your attempt
Correct Answer

C. ( (0,17) )

Explanation

Simple Explanation

(y)-अक्ष पर (x=0) होता है। तब (y=17) मिलता है। / On the (y)-axis, (x=0). Then (y=17).

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

यदि रेखा की ढाल (9) और (y)-अवरोध (-4) है तो समीकरण कौन सा होगा?

If a line has slope (9) and (y)-intercept (-4), which equation is correct?

Explanation opens after your attempt
Correct Answer

A. (y=9x-4)

Explanation

Simple Explanation

रूप (y=mx+c) में (m=9) और (c=-4) रखें। सही समीकरण (y=9x-4) है। / In (y=mx+c), put (m=9) and (c=-4). The correct equation is (y=9x-4).

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

यदि रेखा की ढाल (-10) और (y)-अवरोध (8) है तो समीकरण कौन सा होगा?

If a line has slope (-10) and (y)-intercept (8), which equation is correct?

Explanation opens after your attempt
Correct Answer

C. (y=-10x+8)

Explanation

Simple Explanation

ढाल (x) का गुणांक और (y)-अवरोध स्थिर पद होता है। इसलिए (y=-10x+8) सही है। / The slope is the coefficient of (x) and the (y)-intercept is the constant term. So (y=-10x+8) is correct.

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

रेखा (y=mx-9) की ढाल (6) है। (m) का मान क्या है?

The line (y=mx-9) has slope (6). What is the value of (m)?

Explanation opens after your attempt
Correct Answer

A. (6)

Explanation

Simple Explanation

(y=mx+c) में (m) ही ढाल है। इसलिए (m=6) है। / In (y=mx+c), (m) itself is the slope. Therefore (m=6).

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

रेखा (y=-5x+c) (y)-अक्ष को ( (0,12) ) पर काटती है। (c) क्या है?

The line (y=-5x+c) cuts the (y)-axis at ( (0,12) ). What is (c)?

Explanation opens after your attempt
Correct Answer

C. (12)

Explanation

Simple Explanation

(y)-अक्ष पर (x=0) होता है और (y=c) होता है। इसलिए (c=12) है। / On the (y)-axis, (x=0), and (y=c). Therefore (c=12).

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

रेखा (y=7x+2) में (x) के (5) बढ़ने पर (y) कितना बढ़ेगा?

In the line (y=7x+2), how much will (y) increase when (x) increases by (5)?

Explanation opens after your attempt
Correct Answer

B. (35)

Explanation

Simple Explanation

ढाल (7) है। (x) में (5) की वृद्धि से (y) \(7\times5=35\) बढ़ेगा। / The slope is (7). An increase of (5) in (x) makes (y) increase by \(7\times5=35\).

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

रेखा (y=-4x+19) में (x) के (6) बढ़ने पर (y) में क्या परिवर्तन होगा?

In the line (y=-4x+19), what change will occur in (y) when (x) increases by (6)?

Explanation opens after your attempt
Correct Answer

C. (24) घटेगाDecreases by (24)

Explanation

Simple Explanation

ढाल (-4) है। परिवर्तन \(-4\times6=-24\) है इसलिए (y) (24) घटेगा। / The slope is (-4). The change is \(-4\times6=-24\), so (y) decreases by (24).

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

समीकरण (7y=-21x+28) में ढाल और (y)-अवरोध क्या हैं?

What are the slope and (y)-intercept in the equation (7y=-21x+28)?

Explanation opens after your attempt
Correct Answer

B. ढाल (-3) और (y)-अवरोध (4)Slope (-3) and (y)-intercept (4)

Explanation

Simple Explanation

(7) से भाग देने पर (y=-3x+4) मिलता है। इसलिए ढाल (-3) और (y)-अवरोध (4) है। / Dividing by (7) gives (y=-3x+4). So the slope is (-3) and the (y)-intercept is (4).

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

समीकरण (3x+4y=20) का (y)-अवरोध क्या है?

What is the (y)-intercept of the equation (3x+4y=20)?

Explanation opens after your attempt
Correct Answer

C. (5)

Explanation

Simple Explanation

(x=0) रखने पर (4y=20) और (y=5) मिलता है। इसलिए (y)-अवरोध (5) है। / Putting (x=0) gives (4y=20) and (y=5). Therefore the (y)-intercept is (5).

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

समीकरण (6x+3y=21) की ढाल क्या है?

What is the slope of the equation (6x+3y=21)?

Explanation opens after your attempt
Correct Answer

B. (-2)

Explanation

Simple Explanation

(3y=-6x+21) और (y=-2x+7) है। इसलिए ढाल (-2) है। / (3y=-6x+21) and (y=-2x+7). Therefore the slope is (-2).

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

रेखा \(y=\frac{7}{3}x-4\) में (x) के (3) बढ़ने पर (y) कितना बढ़ेगा?

In the line \(y=\frac{7}{3}x-4\), how much will (y) increase when (x) increases by (3)?

Explanation opens after your attempt
Correct Answer

B. (7)

Explanation

Simple Explanation

ढाल \(\frac{7}{3}\) है। परिवर्तन \(\frac{7}{3}\times3=7\) होगा। / The slope is \(\frac{7}{3}\). The change will be \(\frac{7}{3}\times3=7\).

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

रेखा \(y=-\frac{5}{6}x+11\) में (x) के (12) बढ़ने पर (y) कितना घटेगा?

In the line \(y=-\frac{5}{6}x+11\), how much will (y) decrease when (x) increases by (12)?

Explanation opens after your attempt
Correct Answer

C. (10)

Explanation

Simple Explanation

ढाल \(-\frac{5}{6}\) है। परिवर्तन \(-\frac{5}{6}\times12=-10\) है इसलिए कमी (10) है। / The slope is \(-\frac{5}{6}\). The change is \(-\frac{5}{6}\times12=-10\), so the decrease is (10).

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

यदि (y=mx+3) रेखा ( (4,23) ) से गुजरती है तो (m) क्या होगा?

If (y=mx+3) passes through ( (4,23) ), what will (m) be?

Explanation opens after your attempt
Correct Answer

B. (5)

Explanation

Simple Explanation

बिंदु रखने पर (23=4m+3) मिलता है। इससे (4m=20) और (m=5) है। / Substituting the point gives (23=4m+3). Thus (4m=20) and (m=5).

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

यदि (y=-3x+c) रेखा ( (5,2) ) से गुजरती है तो (c) क्या होगा?

If (y=-3x+c) passes through ( (5,2) ), what will (c) be?

Explanation opens after your attempt
Correct Answer

C. (17)

Explanation

Simple Explanation

बिंदु रखने पर (2=-3(5)+c) मिलता है। इसलिए (c=17) है। / Substituting the point gives (2=-3(5)+c). Therefore (c=17).

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

यदि रेखा की ढाल (4) है और वह (y)-अक्ष को ( (0,-7) ) पर काटती है तो समीकरण क्या होगा?

If a line has slope (4) and cuts the (y)-axis at ( (0,-7) ), what is its equation?

Explanation opens after your attempt
Correct Answer

A. (y=4x-7)

Explanation

Simple Explanation

ढाल (4) है और (y)-अवरोध (-7) है। इसलिए (y=4x-7) है। / The slope is (4) and the (y)-intercept is (-7). Therefore (y=4x-7).

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

यदि रेखा की ढाल (-6) है और (x=0) पर (y=5) है तो रेखा कौन सी है?

If a line has slope (-6) and (y=5) at (x=0), which line is it?

Explanation opens after your attempt
Correct Answer

B. (y=-6x+5)

Explanation

Simple Explanation

(x=0) पर (y=5) का अर्थ (y)-अवरोध (5) है। ढाल (-6) से (y=-6x+5) बनता है। / (y=5) at (x=0) means the (y)-intercept is (5). With slope (-6), the line is (y=-6x+5).

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

रेखाएं (y=5x+8) और (y=5x-6) के बारे में सही कथन क्या है?

Which statement about the lines (y=5x+8) and (y=5x-6) is correct?

Explanation opens after your attempt
Correct Answer

A. दोनों की ढाल समान हैBoth have the same slope

Explanation

Simple Explanation

दोनों में (x) का गुणांक (5) है। इसलिए दोनों की ढाल समान है। / Both have coefficient (5) of (x). Therefore both have the same slope.

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

रेखाएं (y=7x-3) और (y=-4x-3) के बारे में सही कथन क्या है?

Which statement about the lines (y=7x-3) and (y=-4x-3) is correct?

Explanation opens after your attempt
Correct Answer

B. दोनों का (y)-अवरोध समान हैBoth have the same (y)-intercept

Explanation

Simple Explanation

दोनों में स्थिर पद (-3) है। इसलिए दोनों का (y)-अवरोध समान है। / Both have constant term (-3). Therefore both have the same (y)-intercept.

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

कौन सी रेखा ढाल (0) और (y)-अवरोध (-8) रखती है?

Which line has slope (0) and (y)-intercept (-8)?

Explanation opens after your attempt
Correct Answer

B. (y=0x-8)

Explanation

Simple Explanation

ढाल (0) होने पर (x) का गुणांक (0) होगा। (y)-अवरोध (-8) से (y=0x-8) है। / With slope (0), the coefficient of (x) is (0). With (y)-intercept (-8), the line is (y=0x-8).

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

कौन सी रेखा मूल बिंदु से गुजरती है और ढाल (11) रखती है?

Which line passes through the origin and has slope (11)?

Explanation opens after your attempt
Correct Answer

A. (y=11x)

Explanation

Simple Explanation

मूल बिंदु से गुजरने पर (y)-अवरोध (0) होता है। ढाल (11) होने से (y=11x) सही है। / Passing through the origin means the (y)-intercept is (0). With slope (11), (y=11x) is correct.

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

रेखा (y=-x+10) में (x=0) पर (y) का मान क्या है?

What is the value of (y) at (x=0) in the line (y=-x+10)?

Explanation opens after your attempt
Correct Answer

A. (10)

Explanation

Simple Explanation

(x=0) रखने पर (y=10) मिलता है। यही (y)-अवरोध है। / Putting (x=0) gives (y=10). This is the (y)-intercept.

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

रेखा (y=16-8x) में (x=0) पर (y) का मान क्या है?

What is the value of (y) at (x=0) in the line (y=16-8x)?

Explanation opens after your attempt
Correct Answer

C. (16)

Explanation

Simple Explanation

(x=0) रखने पर (y=16) होता है। इसलिए (y)-अवरोध (16) है। / Putting (x=0), (y=16). Therefore the (y)-intercept is (16).

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

समीकरण (y+6=4x) का (y)-अवरोध क्या है?

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

Explanation opens after your attempt
Correct Answer

C. (-6)

Explanation

Simple Explanation

इसे (y=4x-6) लिखा जाता है। स्थिर पद (-6) (y)-अवरोध है। / It is written as (y=4x-6). The constant term (-6) is the (y)-intercept.

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

समीकरण (y-8=-5x) की ढाल क्या है?

What is the slope of the equation (y-8=-5x)?

Explanation opens after your attempt
Correct Answer

B. (-5)

Explanation

Simple Explanation

इसे (y=-5x+8) लिखें। (x) का गुणांक (-5) है। / Write it as (y=-5x+8). The coefficient of (x) is (-5).

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

रेखा (y=ax-5) की ढाल (-7) है। समीकरण कौन सा होगा?

The line (y=ax-5) has slope (-7). Which equation is correct?

Explanation opens after your attempt
Correct Answer

B. (y=-7x-5)

Explanation

Simple Explanation

ढाल (a) के बराबर है। (a=-7) रखने पर (y=-7x-5) मिलता है। / The slope equals (a). Putting (a=-7) gives (y=-7x-5).

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

रेखा (y=6x+b) का (y)-अवरोध (13) है। समीकरण कौन सा होगा?

The line (y=6x+b) has (y)-intercept (13). Which equation is correct?

Explanation opens after your attempt
Correct Answer

C. (y=6x+13)

Explanation

Simple Explanation

(b) (y)-अवरोध है। (b=13) रखने पर (y=6x+13) बनता है। / (b) is the (y)-intercept. Putting (b=13) gives (y=6x+13).

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

दो रेखाएं (y=-4x+6) और (y=-4x-9) कैसी हैं?

How are the two lines (y=-4x+6) and (y=-4x-9) related?

Explanation opens after your attempt
Correct Answer

A. उनकी ढाल समान हैTheir slopes are the same

Explanation

Simple Explanation

दोनों में (x) का गुणांक (-4) है। स्थिर पद अलग हैं इसलिए (y)-अवरोध अलग होंगे। / Both have coefficient (-4) of (x). Their constant terms are different, so their (y)-intercepts are different.

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

दो रेखाएं (y=3x-8) और (y=-9x-8) कैसी समानता रखती हैं?

What similarity do the two lines (y=3x-8) and (y=-9x-8) have?

Explanation opens after your attempt
Correct Answer

B. दोनों का (y)-अवरोध समान हैBoth have the same (y)-intercept

Explanation

Simple Explanation

दोनों में स्थिर पद (-8) है। इसलिए दोनों का (y)-अवरोध समान है। / Both have constant term (-8). Therefore both have the same (y)-intercept.

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

रेखा (y=-18) की ढाल और (y)-अवरोध क्या हैं?

What are the slope and (y)-intercept of the line (y=-18)?

Explanation opens after your attempt
Correct Answer

B. ढाल (0) और (y)-अवरोध (-18)Slope (0) and (y)-intercept (-18)

Explanation

Simple Explanation

(y=-18) क्षैतिज रेखा है। इसकी ढाल (0) और (y)-अवरोध (-18) है। / (y=-18) is a horizontal line. Its slope is (0) and its (y)-intercept is (-18).

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

रेखा (y=0x+9) में (x) के (12) बढ़ने पर (y) में कितना परिवर्तन होगा?

In the line (y=0x+9), what change will occur in (y) when (x) increases by (12)?

Explanation opens after your attempt
Correct Answer

A. (0)

Explanation

Simple Explanation

ढाल (0) है। इसलिए (x) बदलने पर भी (y) में कोई परिवर्तन नहीं होगा। / The slope is (0). So even when (x) changes, there is no change in (y).

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

रेखा \(y=\frac{3}{4}x+2\) में (x) के (8) बढ़ने पर (y) कितना बढ़ेगा?

In the line \(y=\frac{3}{4}x+2\), how much will (y) increase when (x) increases by (8)?

Explanation opens after your attempt
Correct Answer

B. (6)

Explanation

Simple Explanation

ढाल \(\frac{3}{4}\) है। परिवर्तन \(\frac{3}{4}\times8=6\) होगा। / The slope is \(\frac{3}{4}\). The change will be \(\frac{3}{4}\times8=6\).

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

रेखा \(y=-\frac{2}{7}x+15\) में (x) के (21) बढ़ने पर (y) कितना घटेगा?

In the line \(y=-\frac{2}{7}x+15\), how much will (y) decrease when (x) increases by (21)?

Explanation opens after your attempt
Correct Answer

C. (6)

Explanation

Simple Explanation

ढाल \(-\frac{2}{7}\) है। परिवर्तन \(-\frac{2}{7}\times21=-6\) है इसलिए कमी (6) है। / The slope is \(-\frac{2}{7}\). The change is \(-\frac{2}{7}\times21=-6\), so the decrease is (6).

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

यदि (y=mx-6) रेखा ( (3,9) ) से गुजरती है तो ढाल क्या है?

If the line (y=mx-6) passes through ( (3,9) ), what is the slope?

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Correct Answer

C. (5)

Explanation

Simple Explanation

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

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

यदि (y=4x+c) रेखा ( (5,11) ) से गुजरती है तो (y)-अवरोध क्या है?

If the line (y=4x+c) passes through ( (5,11) ), what is the (y)-intercept?

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Correct Answer

B. (-9)

Explanation

Simple Explanation

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

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

कौन सी रेखा (x=0) पर (y=15) देती है और ढाल (-3) रखती है?

Which line gives (y=15) at (x=0) and has slope (-3)?

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Correct Answer

B. (y=-3x+15)

Explanation

Simple Explanation

(x=0) पर (y=15) से (c=15) मिलता है। ढाल (-3) होने से (y=-3x+15) सही है। / At (x=0), (y=15) gives (c=15). With slope (-3), (y=-3x+15) is correct.

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

कौन सी रेखा (x=0) पर (y=-10) देती है और ढाल (8) रखती है?

Which line gives (y=-10) at (x=0) and has slope (8)?

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Correct Answer

A. (y=8x-10)

Explanation

Simple Explanation

(x=0) पर (y=-10) का अर्थ (c=-10) है। ढाल (8) से रेखा (y=8x-10) है। / (y=-10) at (x=0) means (c=-10). With slope (8), the line is (y=8x-10).

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

रेखा (y=10x+3) और (y=-10x+3) के बारे में सही कथन क्या है?

Which statement about (y=10x+3) and (y=-10x+3) is correct?

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Correct Answer

B. ढाल अलग है और (y)-अवरोध समान हैंSlopes are different and (y)-intercepts are same

Explanation

Simple Explanation

ढालें (10) और (-10) हैं लेकिन स्थिर पद (3) समान है। इसलिए (y)-अवरोध समान हैं। / The slopes are (10) and (-10), but the constant term (3) is the same. So the (y)-intercepts are the same.

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

रेखा (y=-5x+14) और (y=-5x-4) के बारे में सही कथन क्या है?

Which statement about (y=-5x+14) and (y=-5x-4) is correct?

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Correct Answer

A. ढाल समान है और (y)-अवरोध अलग हैंSlopes are same and (y)-intercepts are different

Explanation

Simple Explanation

दोनों में (x) का गुणांक (-5) है। स्थिर पद (14) और (-4) अलग हैं। / Both have coefficient (-5) of (x). The constant terms (14) and (-4) are different.

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

रेखा (y=13x-6) में ढाल का चिन्ह और (y)-अवरोध का चिन्ह क्या है?

What are the signs of the slope and the (y)-intercept in the line (y=13x-6)?

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Correct Answer

A. ढाल धनात्मक और (y)-अवरोध ऋणात्मकSlope positive and (y)-intercept negative

Explanation

Simple Explanation

ढाल (13) है जो धनात्मक है और स्थिर पद (-6) ऋणात्मक है। संकेत अलग-अलग देखें। / The slope is (13), which is positive, and the constant term (-6) is negative. Check the signs separately.

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

रेखा (y=-9x+11) में ढाल का चिन्ह और (y)-अवरोध का चिन्ह क्या है?

What are the signs of the slope and the (y)-intercept in the line (y=-9x+11)?

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Correct Answer

B. ढाल ऋणात्मक और (y)-अवरोध धनात्मकSlope negative and (y)-intercept positive

Explanation

Simple Explanation

ढाल (-9) ऋणात्मक है और (y)-अवरोध (11) धनात्मक है। (x) के गुणांक और स्थिर पद को पहचानें। / The slope (-9) is negative and the (y)-intercept (11) is positive. Identify the coefficient of (x) and the constant term.

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

यदि (y=4x+c) का (y)-अवरोध (3) है तो (x=5) पर (y) क्या होगा?

If (y=4x+c) has (y)-intercept (3), what will (y) be at (x=5)?

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Correct Answer

C. (23)

Explanation

Simple Explanation

(y)-अवरोध (3) से (c=3) है। (x=5) रखने पर (y=4(5)+3=23) है। / The (y)-intercept (3) gives (c=3). Putting (x=5), (y=4(5)+3=23).

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

यदि (y=mx-7) की ढाल (5) है तो (x=4) पर (y) क्या होगा?

If (y=mx-7) has slope (5), what will (y) be at (x=4)?

Explanation opens after your attempt
Correct Answer

B. (13)

Explanation

Simple Explanation

ढाल (5) से (m=5) है। (x=4) रखने पर (y=5(4)-7=13) मिलता है। / Slope (5) gives (m=5). Putting (x=4), (y=5(4)-7=13).

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

रेखा (y=-6x+18) में (x) (2) से (6) तक बढ़े तो (y) में कुल परिवर्तन क्या होगा?

In the line (y=-6x+18), what is the total change in (y) when (x) increases from (2) to (6)?

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Correct Answer

C. (24) घटेगाDecreases by (24)

Explanation

Simple Explanation

(x) में परिवर्तन (6-2=4) है। (y) का परिवर्तन \(-6\times4=-24\) है। / The change in (x) is (6-2=4). The change in (y) is \(-6\times4=-24\).

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

रेखा \(y=\frac{5}{4}x-2\) में (x) के (12) बढ़ने पर (y) कितना बढ़ेगा?

In the line \(y=\frac{5}{4}x-2\), how much will (y) increase when (x) increases by (12)?

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Correct Answer

B. (15)

Explanation

Simple Explanation

ढाल \(\frac{5}{4}\) है। परिवर्तन \(\frac{5}{4}\times12=15\) होगा। / The slope is \(\frac{5}{4}\). The change will be \(\frac{5}{4}\times12=15\).

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

यदि (y=-2x+c) का (y)-अवरोध (7) है तो (x=6) पर (y) क्या होगा?

If (y=-2x+c) has (y)-intercept (7), what will (y) be at (x=6)?

Explanation opens after your attempt
Correct Answer

B. (-5)

Explanation

Simple Explanation

(y)-अवरोध (7) से (c=7) है। (x=6) रखने पर (y=-2(6)+7=-5) है। / The (y)-intercept (7) gives (c=7). Putting (x=6), (y=-2(6)+7=-5).

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