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Class 9 Mathematics Medium Quiz

Mathematics Medium Class 9 Level 34

Level 34 • 50/50 questions • 35 seconds per question.

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Time Left 29:10 35 sec/question
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Question 1/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

सरल करने के बाद (4(2x-3)-5x) कौन सा बहुपद बनेगा?

After simplifying (4(2x-3)-5x), which polynomial is obtained?

Explanation opens after your attempt
Correct Answer

A. (3x-12)

Step 1

Concept

(4(2x-3)-5x=8x-12-5x=3x-12). Open brackets first and then combine like terms.

Step 2

Why this answer is correct

The correct answer is A. (3x-12). (4(2x-3)-5x=8x-12-5x=3x-12). Open brackets first and then combine like terms.

Step 3

Exam Tip

(4(2x-3)-5x=8x-12-5x=3x-12) है। पहले कोष्ठक खोलें फिर समान पद मिलाएं।

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Question 2/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस मान पर ((a+6)x-13) रेखीय बहुपद नहीं रहेगा?

For which value will ((a+6)x-13) not remain a linear polynomial?

Explanation opens after your attempt
Correct Answer

B. (a=-6)

Step 1

Concept

To be linear, the coefficient of (x) must be non-zero. At (a=-6), (a+6=0).

Step 2

Why this answer is correct

The correct answer is B. (a=-6). To be linear, the coefficient of (x) must be non-zero. At (a=-6), (a+6=0).

Step 3

Exam Tip

रेखीय होने के लिए (x) का गुणांक शून्य नहीं होना चाहिए। (a=-6) पर (a+6=0) हो जाता है।

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Question 3/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

रेखीय बहुपद (7x+21) का शून्यक क्या है?

What is the zero of the linear polynomial (7x+21)?

Explanation opens after your attempt
Correct Answer

C. (-3)

Step 1

Concept

From (7x+21=0), we get (x=-3). Pay attention to the sign while finding the zero.

Step 2

Why this answer is correct

The correct answer is C. (-3). From (7x+21=0), we get (x=-3). Pay attention to the sign while finding the zero.

Step 3

Exam Tip

(7x+21=0) से (x=-3) मिलता है। शून्यक निकालते समय चिन्ह पर ध्यान रखें।

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Question 4/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=5x-4), तो (p(4)-p(2)) का मान क्या है?

If (p(x)=5x-4), what is the value of (p(4)-p(2))?

Explanation opens after your attempt
Correct Answer

D. (10)

Step 1

Concept

(p(4)=16) and (p(2)=6). Therefore the difference is (16-6=10).

Step 2

Why this answer is correct

The correct answer is D. (10). (p(4)=16) and (p(2)=6). Therefore the difference is (16-6=10).

Step 3

Exam Tip

(p(4)=16) और (p(2)=6) हैं। इसलिए अंतर (16-6=10) है।

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Question 5/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=mx-15) का शून्यक (5) है, तो (m) का मान क्या होगा?

If the zero of (p(x)=mx-15) is (5), what is the value of (m)?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

Since the zero is (5), (5m-15=0). Therefore (m=3).

Step 2

Why this answer is correct

The correct answer is B. (3). Since the zero is (5), (5m-15=0). Therefore (m=3).

Step 3

Exam Tip

शून्यक (5) होने से (5m-15=0) होगा। इसलिए (m=3) है।

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Question 6/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

रेखीय बहुपद (ax+b) में शून्यक के लिए कौन सा सूत्र सही है?

Which formula is correct for the zero of the linear polynomial (ax+b)?

Explanation opens after your attempt
Correct Answer

C. \(-\frac{b}{a}\)

Step 1

Concept

From (ax+b=0), we get \(x=-\frac{b}{a}\). Here \(a\neq0\) is necessary.

Step 2

Why this answer is correct

The correct answer is C. \(-\frac{b}{a}\). From (ax+b=0), we get \(x=-\frac{b}{a}\). Here \(a\neq0\) is necessary.

Step 3

Exam Tip

(ax+b=0) से \(x=-\frac{b}{a}\) मिलता है। यहां \(a\neq0\) जरूरी है।

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Question 7/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=6x+2) और (q(x)=x-9), तो (p(x)+q(x)) की डिग्री क्या है?

If (p(x)=6x+2) and (q(x)=x-9), what is the degree of (p(x)+q(x))?

Explanation opens after your attempt
Correct Answer

D. (1)

Step 1

Concept

The sum is (7x-7), whose highest power is (1). Therefore the degree is (1).

Step 2

Why this answer is correct

The correct answer is D. (1). The sum is (7x-7), whose highest power is (1). Therefore the degree is (1).

Step 3

Exam Tip

योग (7x-7) है जिसकी सबसे बड़ी घात (1) है। इसलिए डिग्री (1) है।

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Question 8/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=3x+10) और (q(x)=3x-4), तो (p(x)-q(x)) किस प्रकार का बहुपद है?

If (p(x)=3x+10) and (q(x)=3x-4), what type of polynomial is (p(x)-q(x))?

Explanation opens after your attempt
Correct Answer

A. नियतांक बहुपदConstant polynomial

Step 1

Concept

(p(x)-q(x)=14). It is a non-zero constant polynomial.

Step 2

Why this answer is correct

The correct answer is A. नियतांक बहुपद / Constant polynomial. (p(x)-q(x)=14). It is a non-zero constant polynomial.

Step 3

Exam Tip

(p(x)-q(x)=14) है। यह अशून्य नियतांक बहुपद है।

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Question 9/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस मान पर ((k+2)x-12) का शून्यक (3) होगा?

For which value will the zero of ((k+2)x-12) be (3)?

Explanation opens after your attempt
Correct Answer

A. (k=2)

Step 1

Concept

If the zero is (3), then (3(k+2)-12=0). This gives (k=2).

Step 2

Why this answer is correct

The correct answer is A. (k=2). If the zero is (3), then (3(k+2)-12=0). This gives (k=2).

Step 3

Exam Tip

शून्यक (3) होने पर (3(k+2)-12=0) होगा। इससे (k=2) मिलता है।

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Question 10/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

कौन सा बहुपद सरल होकर (4x-7) बनेगा?

Which polynomial simplifies to (4x-7)?

Explanation opens after your attempt
Correct Answer

B. (9x-5x-7)

Step 1

Concept

(9x-5x-7=4x-7). First simplify like (x)-terms.

Step 2

Why this answer is correct

The correct answer is B. (9x-5x-7). (9x-5x-7=4x-7). First simplify like (x)-terms.

Step 3

Exam Tip

(9x-5x-7=4x-7) है। समान (x) वाले पदों को पहले सरल करें।

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Question 11/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=4x+3), तो (p(-3)) का मान क्या है?

If (p(x)=4x+3), what is the value of (p(-3))?

Explanation opens after your attempt
Correct Answer

C. (-9)

Step 1

Concept

(p(-3)=4(-3)+3=-9). Handle signs carefully when substituting a negative value.

Step 2

Why this answer is correct

The correct answer is C. (-9). (p(-3)=4(-3)+3=-9). Handle signs carefully when substituting a negative value.

Step 3

Exam Tip

(p(-3)=4(-3)+3=-9) है। ऋणात्मक मान रखते समय चिन्ह ध्यान से लगाएं।

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Question 12/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस विकल्प में (x) का गुणांक धनात्मक और नियतांक पद ऋणात्मक है?

Which option has a positive coefficient of (x) and a negative constant term?

Explanation opens after your attempt
Correct Answer

D. (5x-2)

Step 1

Concept

In (5x-2), the coefficient of (x) is (5), which is positive, and the constant term (-2) is negative.

Step 2

Why this answer is correct

The correct answer is D. (5x-2). In (5x-2), the coefficient of (x) is (5), which is positive, and the constant term (-2) is negative.

Step 3

Exam Tip

(5x-2) में (x) का गुणांक (5) धनात्मक है और नियतांक पद (-2) ऋणात्मक है।

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Question 13/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=ax+18) और (p(-3)=0), तो (a) का मान क्या है?

If (p(x)=ax+18) and (p(-3)=0), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

A. (6)

Step 1

Concept

From (p(-3)=-3a+18=0), we get (a=6). Substitute the given value directly into the polynomial.

Step 2

Why this answer is correct

The correct answer is A. (6). From (p(-3)=-3a+18=0), we get (a=6). Substitute the given value directly into the polynomial.

Step 3

Exam Tip

(p(-3)=-3a+18=0) से (a=6) मिलता है। दिए गए मान को सीधे बहुपद में रखें।

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Question 14/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

कौन सा रेखीय बहुपद (x=-2) पर (0) हो जाता है?

Which linear polynomial becomes (0) at (x=-2)?

Explanation opens after your attempt
Correct Answer

C. (x+2)

Step 1

Concept

Substituting (x=-2) in (x+2) gives (0). Therefore its zero is (-2).

Step 2

Why this answer is correct

The correct answer is C. (x+2). Substituting (x=-2) in (x+2) gives (0). Therefore its zero is (-2).

Step 3

Exam Tip

(x=-2) रखने पर (x+2=0) मिलता है। इसलिए इसका शून्यक (-2) है।

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Question 15/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (5(x-1)+3(x+2)) को सरल किया जाए, तो कौन सा बहुपद मिलेगा?

Which polynomial is obtained by simplifying (5(x-1)+3(x+2))?

Explanation opens after your attempt
Correct Answer

A. (8x+1)

Step 1

Concept

(5x-5+3x+6=8x+1). Open brackets and add like terms.

Step 2

Why this answer is correct

The correct answer is A. (8x+1). (5x-5+3x+6=8x+1). Open brackets and add like terms.

Step 3

Exam Tip

(5x-5+3x+6=8x+1) है। कोष्ठक खोलकर समान पद जोड़ें।

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Question 16/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=14-7x), तो इसका शून्यक क्या है?

If (p(x)=14-7x), what is its zero?

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

From (14-7x=0), we get (x=2). A linear polynomial has only one zero.

Step 2

Why this answer is correct

The correct answer is B. (2). From (14-7x=0), we get (x=2). A linear polynomial has only one zero.

Step 3

Exam Tip

(14-7x=0) से (x=2) मिलता है। रेखीय बहुपद का केवल एक शून्यक होता है।

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Question 17/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस विकल्प में (p(0)=8) और (p(x)) रेखीय है?

Which option has (p(0)=8) and (p(x)) is linear?

Explanation opens after your attempt
Correct Answer

B. (p(x)=2x+8)

Step 1

Concept

(p(0)) equals the constant term. (2x+8) is linear and its constant term is (8).

Step 2

Why this answer is correct

The correct answer is B. (p(x)=2x+8). (p(0)) equals the constant term. (2x+8) is linear and its constant term is (8).

Step 3

Exam Tip

(p(0)) नियतांक पद के बराबर होता है। (2x+8) रेखीय है और इसका नियतांक पद (8) है।

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Question 18/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=6x+1) और (p(t)=31), तो (t) का मान क्या है?

If (p(x)=6x+1) and (p(t)=31), what is the value of (t)?

Explanation opens after your attempt
Correct Answer

C. (5)

Step 1

Concept

From (6t+1=31), (6t=30) and (t=5). First form the equation.

Step 2

Why this answer is correct

The correct answer is C. (5). From (6t+1=31), (6t=30) and (t=5). First form the equation.

Step 3

Exam Tip

(6t+1=31) से (6t=30) और (t=5) मिलता है। पहले समीकरण बनाएं।

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Question 19/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस विकल्प में बहुपद रेखीय है लेकिन उसका शून्यक धनात्मक है?

Which option has a linear polynomial whose zero is positive?

Explanation opens after your attempt
Correct Answer

C. (x-6)

Step 1

Concept

From (x-6=0), we get (x=6). Therefore its zero is positive.

Step 2

Why this answer is correct

The correct answer is C. (x-6). From (x-6=0), we get (x=6). Therefore its zero is positive.

Step 3

Exam Tip

(x-6=0) से (x=6) मिलता है। इसलिए इसका शून्यक धनात्मक है।

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Question 20/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=4x+a) का शून्यक (-5) है, तो (a) का मान क्या है?

If the zero of (p(x)=4x+a) is (-5), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

A. (20)

Step 1

Concept

Since the zero is (-5), (4(-5)+a=0). Therefore (a=20).

Step 2

Why this answer is correct

The correct answer is A. (20). Since the zero is (-5), (4(-5)+a=0). Therefore (a=20).

Step 3

Exam Tip

शून्यक (-5) होने से (4(-5)+a=0) होगा। इसलिए (a=20) है।

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Question 21/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस विकल्प में रेखीय बहुपद का शून्यक \(\frac{4}{3}\) है?

Which option has zero \(\frac{4}{3}\) for a linear polynomial?

Explanation opens after your attempt
Correct Answer

C. (3x-4)

Step 1

Concept

From (3x-4=0), we get \(x=\frac{4}{3}\). Set the polynomial equal to (0) to find the zero.

Step 2

Why this answer is correct

The correct answer is C. (3x-4). From (3x-4=0), we get \(x=\frac{4}{3}\). Set the polynomial equal to (0) to find the zero.

Step 3

Exam Tip

(3x-4=0) से \(x=\frac{4}{3}\) मिलता है। शून्यक के लिए बहुपद को (0) रखें।

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Question 22/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=x+4) और (q(x)=x-4), तो (p(x)q(x)) किस प्रकार का बहुपद है?

If (p(x)=x+4) and (q(x)=x-4), what type of polynomial is (p(x)q(x))?

Explanation opens after your attempt
Correct Answer

C. द्विघात बहुपदQuadratic polynomial

Step 1

Concept

(p(x)q(x)=(x+4)(x-4)=x-2-16). Its degree is (2), so it is quadratic.

Step 2

Why this answer is correct

The correct answer is C. द्विघात बहुपद / Quadratic polynomial. (p(x)q(x)=(x+4)(x-4)=x-2-16). Its degree is (2), so it is quadratic.

Step 3

Exam Tip

(p(x)q(x)=(x+4)(x-4)=x-2-16) है। इसकी डिग्री (2) है इसलिए यह द्विघात है।

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Question 23/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

रेखीय बहुपद (5x+b) का शून्यक (-3) है। (b) क्या है?

The zero of the linear polynomial (5x+b) is (-3). What is (b)?

Explanation opens after your attempt
Correct Answer

A. (15)

Step 1

Concept

From (5(-3)+b=0), we get (b=15). Substitute the zero into the polynomial and set it to (0).

Step 2

Why this answer is correct

The correct answer is A. (15). From (5(-3)+b=0), we get (b=15). Substitute the zero into the polynomial and set it to (0).

Step 3

Exam Tip

(5(-3)+b=0) से (b=15) मिलता है। शून्यक को बहुपद में रखकर (0) करें।

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Question 24/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=\frac{3}{5}x+4), तो (p(10)) क्या है?

If (p(x)=\frac{3}{5}x+4), what is (p(10))?

Explanation opens after your attempt
Correct Answer

C. (10)

Step 1

Concept

(p(10)=\frac{3}{5}\cdot10+4=10). With fractional coefficients, multiply first.

Step 2

Why this answer is correct

The correct answer is C. (10). (p(10)=\frac{3}{5}\cdot10+4=10). With fractional coefficients, multiply first.

Step 3

Exam Tip

(p(10)=\frac{3}{5}\cdot10+4=10) है। भिन्न गुणांक में पहले गुणा करें।

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Question 25/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस मान पर ((4a+8)x-5) रेखीय नहीं रहेगा?

For which value will ((4a+8)x-5) not remain linear?

Explanation opens after your attempt
Correct Answer

C. (a=-2)

Step 1

Concept

For it not to be linear, (4a+8=0). This gives (a=-2).

Step 2

Why this answer is correct

The correct answer is C. (a=-2). For it not to be linear, (4a+8=0). This gives (a=-2).

Step 3

Exam Tip

रेखीय न रहने के लिए (4a+8=0) होना चाहिए। इससे (a=-2) मिलता है।

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Question 26/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=12x-20), तो किस मान पर (p(x)=4) होगा?

If (p(x)=12x-20), for which value will (p(x)=4)?

Explanation opens after your attempt
Correct Answer

B. (x=2)

Step 1

Concept

From (12x-20=4), (12x=24) and (x=2). First simplify the equation.

Step 2

Why this answer is correct

The correct answer is B. (x=2). From (12x-20=4), (12x=24) and (x=2). First simplify the equation.

Step 3

Exam Tip

(12x-20=4) से (12x=24) और (x=2) मिलता है। पहले समीकरण को सरल करें।

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Question 27/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=8x+c) और (p(2)=19), तो (c) क्या है?

If (p(x)=8x+c) and (p(2)=19), what is (c)?

Explanation opens after your attempt
Correct Answer

C. (3)

Step 1

Concept

From (p(2)=16+c=19), we get (c=3). Substitute the given value into the polynomial.

Step 2

Why this answer is correct

The correct answer is C. (3). From (p(2)=16+c=19), we get (c=3). Substitute the given value into the polynomial.

Step 3

Exam Tip

(p(2)=16+c=19) से (c=3) मिलता है। दिए गए मान को बहुपद में रखें।

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Question 28/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=x+a) और (p(-9)=0), तो (a) क्या है?

If (p(x)=x+a) and (p(-9)=0), what is (a)?

Explanation opens after your attempt
Correct Answer

A. (9)

Step 1

Concept

From (-9+a=0), we get (a=9). Substitute the zero into the polynomial and solve.

Step 2

Why this answer is correct

The correct answer is A. (9). From (-9+a=0), we get (a=9). Substitute the zero into the polynomial and solve.

Step 3

Exam Tip

(-9+a=0) से (a=9) मिलता है। शून्यक को बहुपद में रखकर हल करें।

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Question 29/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=4x-3), तो (p(2)+p(-2)) क्या है?

If (p(x)=4x-3), what is (p(2)+p(-2))?

Explanation opens after your attempt
Correct Answer

B. (-6)

Step 1

Concept

(p(2)=5) and (p(-2)=-11). Therefore the sum is (-6).

Step 2

Why this answer is correct

The correct answer is B. (-6). (p(2)=5) and (p(-2)=-11). Therefore the sum is (-6).

Step 3

Exam Tip

(p(2)=5) और (p(-2)=-11) हैं। इसलिए योग (-6) है।

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Question 30/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस विकल्प में (x) का गुणांक (6) और शून्यक (-2) है?

Which option has coefficient of (x) equal to (6) and zero (-2)?

Explanation opens after your attempt
Correct Answer

B. (6x+12)

Step 1

Concept

From (6x+12=0), we get (x=-2), and the coefficient of (x) is (6).

Step 2

Why this answer is correct

The correct answer is B. (6x+12). From (6x+12=0), we get (x=-2), and the coefficient of (x) is (6).

Step 3

Exam Tip

(6x+12=0) से (x=-2) मिलता है और (x) का गुणांक (6) है।

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Question 31/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=kx+5) और (p(0)=5), तो (k) के बारे में कौन सा कथन सही है ताकि (p(x)) रेखीय हो?

If (p(x)=kx+5) and (p(0)=5), which statement about (k) is correct so that (p(x)) is linear?

Explanation opens after your attempt
Correct Answer

B. \(k\neq0\)

Step 1

Concept

(p(0)=5) is true for every (k). For the polynomial to be linear, \(k\neq0\) is necessary.

Step 2

Why this answer is correct

The correct answer is B. \(k\neq0\). (p(0)=5) is true for every (k). For the polynomial to be linear, \(k\neq0\) is necessary.

Step 3

Exam Tip

(p(0)=5) हर (k) के लिए सही है। रेखीय होने के लिए \(k\neq0\) जरूरी है।

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Question 32/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=7x+9), तो (p(x)-9) की डिग्री क्या है?

If (p(x)=7x+9), what is the degree of (p(x)-9)?

Explanation opens after your attempt
Correct Answer

B. (1)

Step 1

Concept

(p(x)-9=7x), whose degree is (1). Even after removing the constant term, the (x)-term remains.

Step 2

Why this answer is correct

The correct answer is B. (1). (p(x)-9=7x), whose degree is (1). Even after removing the constant term, the (x)-term remains.

Step 3

Exam Tip

(p(x)-9=7x) है जिसकी डिग्री (1) है। नियतांक हटने पर भी (x) पद बचता है।

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Question 33/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=4x+11), तो (p(x)-4x) किस प्रकार का बहुपद है?

If (p(x)=4x+11), what type of polynomial is (p(x)-4x)?

Explanation opens after your attempt
Correct Answer

B. नियतांक बहुपदConstant polynomial

Step 1

Concept

(p(x)-4x=11). It is a non-zero constant polynomial.

Step 2

Why this answer is correct

The correct answer is B. नियतांक बहुपद / Constant polynomial. (p(x)-4x=11). It is a non-zero constant polynomial.

Step 3

Exam Tip

(p(x)-4x=11) है। यह अशून्य नियतांक बहुपद है।

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Question 34/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस विकल्प में रेखीय बहुपद का शून्यक \(-\frac{7}{2}\) है?

Which option has zero \(-\frac{7}{2}\) for a linear polynomial?

Explanation opens after your attempt
Correct Answer

C. (2x+7)

Step 1

Concept

From (2x+7=0), we get \(x=-\frac{7}{2}\). Pay attention to the sign in fractional zeros.

Step 2

Why this answer is correct

The correct answer is C. (2x+7). From (2x+7=0), we get \(x=-\frac{7}{2}\). Pay attention to the sign in fractional zeros.

Step 3

Exam Tip

(2x+7=0) से \(x=-\frac{7}{2}\) मिलता है। भिन्न शून्यक में चिन्ह ध्यान रखें।

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Question 35/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=16-5x), तो (p(3)) का मान क्या है?

If (p(x)=16-5x), what is the value of (p(3))?

Explanation opens after your attempt
Correct Answer

D. (1)

Step 1

Concept

(p(3)=16-5(3)=1). Multiply first and then subtract.

Step 2

Why this answer is correct

The correct answer is D. (1). (p(3)=16-5(3)=1). Multiply first and then subtract.

Step 3

Exam Tip

(p(3)=16-5(3)=1) है। पहले गुणा करें फिर घटाएं।

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Question 36/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=x-6) और (q(x)=3x+2), तो (2p(x)+q(x)) क्या है?

If (p(x)=x-6) and (q(x)=3x+2), what is (2p(x)+q(x))?

Explanation opens after your attempt
Correct Answer

A. (5x-10)

Step 1

Concept

(2p(x)+q(x)=2(x-6)+(3x+2)=5x-10). First multiply and then add like terms.

Step 2

Why this answer is correct

The correct answer is A. (5x-10). (2p(x)+q(x)=2(x-6)+(3x+2)=5x-10). First multiply and then add like terms.

Step 3

Exam Tip

(2p(x)+q(x)=2(x-6)+(3x+2)=5x-10) है। पहले गुणा फिर समान पद जोड़ें।

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Question 37/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=5x-15), तो कौन सा मान इसका शून्यक है?

If (p(x)=5x-15), which value is its zero?

Explanation opens after your attempt
Correct Answer

C. (x=3)

Step 1

Concept

From (5x-15=0), we get (x=3). A zero is the value where the polynomial becomes (0).

Step 2

Why this answer is correct

The correct answer is C. (x=3). From (5x-15=0), we get (x=3). A zero is the value where the polynomial becomes (0).

Step 3

Exam Tip

(5x-15=0) से (x=3) मिलता है। शून्यक वही मान है जहां बहुपद (0) हो।

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Question 38/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस विकल्प में (4x+9) और (x-3) का अंतर (3x+12) है?

In which option is the difference of (4x+9) and (x-3) equal to (3x+12)?

Explanation opens after your attempt
Correct Answer

A. (4x+9-(x-3))

Step 1

Concept

(4x+9-(x-3)=3x+12). Change signs inside the bracket while subtracting.

Step 2

Why this answer is correct

The correct answer is A. (4x+9-(x-3)). (4x+9-(x-3)=3x+12). Change signs inside the bracket while subtracting.

Step 3

Exam Tip

(4x+9-(x-3)=3x+12) है। घटाते समय कोष्ठक के चिन्ह बदलें।

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Question 39/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस मान पर ((a+3)x+2a) रेखीय बहुपद होगा और (p(0)=2a) रहेगा?

For which value will ((a+3)x+2a) be linear and still have (p(0)=2a)?

Explanation opens after your attempt
Correct Answer

B. (a=1)

Step 1

Concept

For it to be linear, \(a+3\neq0\) is needed. At (a=1), the coefficient is (4) and (p(0)=2).

Step 2

Why this answer is correct

The correct answer is B. (a=1). For it to be linear, \(a+3\neq0\) is needed. At (a=1), the coefficient is (4) and (p(0)=2).

Step 3

Exam Tip

रेखीय होने के लिए \(a+3\neq0\) चाहिए। (a=1) पर गुणांक (4) है और (p(0)=2) रहता है।

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Question 40/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=\frac{7}{8}x-7), तो (p(8)) क्या है?

If (p(x)=\frac{7}{8}x-7), what is (p(8))?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p(8)=\frac{7}{8}\cdot8-7=0). Therefore (8) is a zero of this polynomial.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(8)=\frac{7}{8}\cdot8-7=0). Therefore (8) is a zero of this polynomial.

Step 3

Exam Tip

(p(8)=\frac{7}{8}\cdot8-7=0) है। इसलिए (8) इस बहुपद का शून्यक है।

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Question 41/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=x+5), तो (p(x)2) किस प्रकार का बहुपद होगा?

If (p(x)=x+5), what type of polynomial is (p(x)2)?

Explanation opens after your attempt
Correct Answer

B. द्विघात बहुपदQuadratic polynomial

Step 1

Concept

(p(x)2=(x+5)2) has degree (2). Therefore it is a quadratic polynomial.

Step 2

Why this answer is correct

The correct answer is B. द्विघात बहुपद / Quadratic polynomial. (p(x)2=(x+5)2) has degree (2). Therefore it is a quadratic polynomial.

Step 3

Exam Tip

(p(x)2=(x+5)2) की डिग्री (2) होती है। इसलिए यह द्विघात बहुपद है।

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Question 42/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=4x+b), तो (p(5)-p(2)) का मान क्या होगा?

If (p(x)=4x+b), what will be the value of (p(5)-p(2))?

Explanation opens after your attempt
Correct Answer

D. (12)

Step 1

Concept

(p(5)-p(2)=(20+b)-(8+b)=12). The constant term cancels in the difference.

Step 2

Why this answer is correct

The correct answer is D. (12). (p(5)-p(2)=(20+b)-(8+b)=12). The constant term cancels in the difference.

Step 3

Exam Tip

(p(5)-p(2)=(20+b)-(8+b)=12) है। नियतांक पद अंतर में कट जाता है।

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Question 43/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=6x-5), तो (p(4)-p(1)) का मान क्या है?

If (p(x)=6x-5), what is the value of (p(4)-p(1))?

Explanation opens after your attempt
Correct Answer

B. (18)

Step 1

Concept

(p(4)=19) and (p(1)=1). Therefore the difference is (18).

Step 2

Why this answer is correct

The correct answer is B. (18). (p(4)=19) and (p(1)=1). Therefore the difference is (18).

Step 3

Exam Tip

(p(4)=19) और (p(1)=1) हैं। इसलिए अंतर (18) है।

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Question 44/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस मान पर ((3r-12)x+5) रेखीय बहुपद नहीं रहेगा?

For which value will ((3r-12)x+5) not remain a linear polynomial?

Explanation opens after your attempt
Correct Answer

C. (r=4)

Step 1

Concept

For it not to be linear, the coefficient of (x) must be (0). From (3r-12=0), (r=4).

Step 2

Why this answer is correct

The correct answer is C. (r=4). For it not to be linear, the coefficient of (x) must be (0). From (3r-12=0), (r=4).

Step 3

Exam Tip

रेखीय न रहने के लिए (x) का गुणांक (0) होना चाहिए। (3r-12=0) से (r=4) मिलता है।

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Question 45/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=9x+b) का शून्यक (-1) है, तो (b) का मान क्या है?

If the zero of (p(x)=9x+b) is (-1), what is the value of (b)?

Explanation opens after your attempt
Correct Answer

A. (9)

Step 1

Concept

Since the zero is (-1), (9(-1)+b=0). Therefore (b=9).

Step 2

Why this answer is correct

The correct answer is A. (9). Since the zero is (-1), (9(-1)+b=0). Therefore (b=9).

Step 3

Exam Tip

शून्यक (-1) होने से (9(-1)+b=0) होगा। इसलिए (b=9) है।

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Question 46/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=3x-2) और (q(x)=5x+4), तो (2q(x)-p(x)) क्या है?

If (p(x)=3x-2) and (q(x)=5x+4), what is (2q(x)-p(x))?

Explanation opens after your attempt
Correct Answer

A. (7x+10)

Step 1

Concept

(2q(x)-p(x)=2(5x+4)-(3x-2)=7x+10). Open brackets and combine like terms.

Step 2

Why this answer is correct

The correct answer is A. (7x+10). (2q(x)-p(x)=2(5x+4)-(3x-2)=7x+10). Open brackets and combine like terms.

Step 3

Exam Tip

(2q(x)-p(x)=2(5x+4)-(3x-2)=7x+10) है। कोष्ठक खोलकर समान पद मिलाएं।

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Question 47/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस विकल्प में रेखीय बहुपद का शून्यक \(-\frac{2}{5}\) है?

Which option has zero \(-\frac{2}{5}\) for a linear polynomial?

Explanation opens after your attempt
Correct Answer

C. (5x+2)

Step 1

Concept

From (5x+2=0), we get \(x=-\frac{2}{5}\). In fractional zeros, note the sign and denominator.

Step 2

Why this answer is correct

The correct answer is C. (5x+2). From (5x+2=0), we get \(x=-\frac{2}{5}\). In fractional zeros, note the sign and denominator.

Step 3

Exam Tip

(5x+2=0) से \(x=-\frac{2}{5}\) मिलता है। भिन्न शून्यक में चिन्ह और हर ध्यान रखें।

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Question 48/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=7-2x), तो (p(-3)) का मान क्या है?

If (p(x)=7-2x), what is the value of (p(-3))?

Explanation opens after your attempt
Correct Answer

C. (13)

Step 1

Concept

(p(-3)=7-2(-3)=13). Handle signs carefully when substituting a negative value.

Step 2

Why this answer is correct

The correct answer is C. (13). (p(-3)=7-2(-3)=13). Handle signs carefully when substituting a negative value.

Step 3

Exam Tip

(p(-3)=7-2(-3)=13) है। ऋणात्मक मान रखते समय चिन्ह सावधानी से लगाएं।

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Question 49/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस विकल्प में दो रेखीय बहुपदों का अंतर शून्य बहुपद है?

In which option is the difference of two linear polynomials the zero polynomial?

Explanation opens after your attempt
Correct Answer

A. (2x+3) और (2x+3)(2x+3) and (2x+3)

Step 1

Concept

The difference of identical polynomials is (0). The degree of the zero polynomial is not defined.

Step 2

Why this answer is correct

The correct answer is A. (2x+3) और (2x+3) / (2x+3) and (2x+3). The difference of identical polynomials is (0). The degree of the zero polynomial is not defined.

Step 3

Exam Tip

समान बहुपदों का अंतर (0) होता है। शून्य बहुपद की डिग्री परिभाषित नहीं होती।

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Question 50/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=\frac{4}{5}x-8), तो (p(10)) क्या है?

If (p(x)=\frac{4}{5}x-8), what is (p(10))?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p(10)=\frac{4}{5}\cdot10-8=0). Therefore (10) is a zero of this polynomial.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(10)=\frac{4}{5}\cdot10-8=0). Therefore (10) is a zero of this polynomial.

Step 3

Exam Tip

(p(10)=\frac{4}{5}\cdot10-8=0) है। इसलिए (10) इस बहुपद का शून्यक है।

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