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Mathematics Quiz - Class 9 Mathematics Medium Level 32 Quiz

Question 1/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

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

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

Explanation opens after your attempt

Correct Answer

A. (x+6)

Step 1

Concept

(3(x+2)-2x=3x+6-2x=x+6). Add or subtract like terms carefully.

Step 2

Why this answer is correct

The correct answer is A. (x+6). (3(x+2)-2x=3x+6-2x=x+6). Add or subtract like terms carefully.

Step 3

Exam Tip

(3(x+2)-2x=3x+6-2x=x+6) है। समान पदों को ध्यान से जोड़ें या घटाएं।

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Question 2/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस मान पर ((a-3)x+8) रेखीय बहुपद नहीं रहेगा?

For which value will ((a-3)x+8) not remain a linear polynomial?

Explanation opens after your attempt

Correct Answer

B. (a=3)

Step 1

Concept

To be linear, the coefficient of (x) must be non-zero. At (a=3), (a-3=0).

Step 2

Why this answer is correct

The correct answer is B. (a=3). To be linear, the coefficient of (x) must be non-zero. At (a=3), (a-3=0).

Step 3

Exam Tip

रेखीय होने के लिए (x) का गुणांक शून्य नहीं होना चाहिए। (a=3) पर (a-3=0) हो जाता है।

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Question 3/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

रेखीय बहुपद (5x+20) का शून्यक क्या है?

What is the zero of the linear polynomial (5x+20)?

Explanation opens after your attempt

Correct Answer

C. (-4)

Step 1

Concept

Setting (5x+20=0) gives (x=-4). Pay attention to the sign while finding the zero.

Step 2

Why this answer is correct

The correct answer is C. (-4). Setting (5x+20=0) gives (x=-4). Pay attention to the sign while finding the zero.

Step 3

Exam Tip

(5x+20=0) रखने पर (x=-4) 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 32

यदि (p(x)=7x-9), तो (p(2)-p(1)) का मान क्या है?

If (p(x)=7x-9), what is the value of (p(2)-p(1))?

Explanation opens after your attempt

Correct Answer

D. (7)

Step 1

Concept

(p(2)=5) and (p(1)=-2). Therefore the difference is (5-(-2)=7).

Step 2

Why this answer is correct

The correct answer is D. (7). (p(2)=5) and (p(1)=-2). Therefore the difference is (5-(-2)=7).

Step 3

Exam Tip

(p(2)=5) और (p(1)=-2) हैं। इसलिए अंतर (5-(-2)=7) है।

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Question 5/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस विकल्प का सरल रूप रेखीय बहुपद है?

Which option has a linear polynomial as its simplified form?

Explanation opens after your attempt

Correct Answer

A. \(x^2+x-x^2+4\)

Step 1

Concept

The first option simplifies to (x+4), whose degree is (1). Therefore it is linear.

Step 2

Why this answer is correct

The correct answer is A. \(x^2+x-x^2+4\). The first option simplifies to (x+4), whose degree is (1). Therefore it is linear.

Step 3

Exam Tip

पहला विकल्प सरल होकर (x+4) बनता है जिसकी डिग्री (1) है। इसलिए यह रेखीय है।

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Question 6/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=mx+6) का शून्यक (2) है, तो (m) का मान क्या होगा?

If the zero of (p(x)=mx+6) is (2), what is the value of (m)?

Explanation opens after your attempt

Correct Answer

B. (-3)

Step 1

Concept

Since the zero is (2), (2m+6=0). Therefore (m=-3).

Step 2

Why this answer is correct

The correct answer is B. (-3). Since the zero is (2), (2m+6=0). Therefore (m=-3).

Step 3

Exam Tip

शून्यक (2) होने से (2m+6=0) होगा। इसलिए (m=-3) है।

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Question 7/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

रेखीय बहुपद (ax+b) में शून्यक किस सूत्र से मिलेगा?

Which formula gives 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 \(a\neq0\) होना जरूरी है।

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Question 8/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

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

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

Explanation opens after your attempt

Correct Answer

D. (1)

Step 1

Concept

The sum is (6x+2), 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 (6x+2), whose highest power is (1). Therefore the degree is (1).

Step 3

Exam Tip

योग (6x+2) है जिसकी सबसे बड़ी घात (1) है। इसलिए डिग्री (1) है।

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

यदि (p(x)=4x+1) और (q(x)=4x-7), तो (p(x)-q(x)) किस प्रकार का बहुपद है?

If (p(x)=4x+1) and (q(x)=4x-7), 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)=8). It is a non-zero constant polynomial with degree (0).

Step 2

Why this answer is correct

The correct answer is A. नियतांक बहुपद / Constant polynomial. (p(x)-q(x)=8). It is a non-zero constant polynomial with degree (0).

Step 3

Exam Tip

(p(x)-q(x)=8) है। यह अशून्य नियतांक बहुपद है जिसकी डिग्री (0) होती है।

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Question 10/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस मान पर ((k+5)x-11) का शून्यक (1) होगा?

For which value will the zero of ((k+5)x-11) be (1)?

Explanation opens after your attempt

Correct Answer

A. (k=6)

Step 1

Concept

If the zero is (1), then (k+5-11=0). This gives (k=6).

Step 2

Why this answer is correct

The correct answer is A. (k=6). If the zero is (1), then (k+5-11=0). This gives (k=6).

Step 3

Exam Tip

शून्यक (1) होने पर (k+5-11=0) होगा। इससे (k=6) मिलता है।

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Question 11/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

कौन सा बहुपद सरल करने पर (3x-2) बनेगा?

Which polynomial simplifies to (3x-2)?

Explanation opens after your attempt

Correct Answer

B. (7x-4x-2)

Step 1

Concept

(7x-4x-2=3x-2). First simplify like (x)-terms.

Step 2

Why this answer is correct

The correct answer is B. (7x-4x-2). (7x-4x-2=3x-2). First simplify like (x)-terms.

Step 3

Exam Tip

(7x-4x-2=3x-2) है। समान (x) वाले पदों को पहले सरल करें।

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Question 12/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

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

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

Explanation opens after your attempt

Correct Answer

C. (-4)

Step 1

Concept

(p(-2)=3(-2)+2=-4). Handle signs carefully when substituting a negative value.

Step 2

Why this answer is correct

The correct answer is C. (-4). (p(-2)=3(-2)+2=-4). Handle signs carefully when substituting a negative value.

Step 3

Exam Tip

(p(-2)=3(-2)+2=-4) है। ऋणात्मक मान रखते समय चिन्ह ध्यान से लगाएं।

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Question 13/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस विकल्प में (x) का गुणांक और नियतांक पद दोनों ऋणात्मक हैं?

Which option has both the coefficient of (x) and the constant term negative?

Explanation opens after your attempt

Correct Answer

D. (-4x-3)

Step 1

Concept

In (-4x-3), the coefficient of (x) is (-4) and the constant term is (-3). Both are negative.

Step 2

Why this answer is correct

The correct answer is D. (-4x-3). In (-4x-3), the coefficient of (x) is (-4) and the constant term is (-3). Both are negative.

Step 3

Exam Tip

(-4x-3) में (x) का गुणांक (-4) और नियतांक पद (-3) है। दोनों ऋणात्मक हैं।

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Question 14/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=ax-10) और (p(5)=0), तो (a) का मान क्या है?

If (p(x)=ax-10) and (p(5)=0), what is the value of (a)?

Explanation opens after your attempt

Correct Answer

B. (2)

Step 1

Concept

From (p(5)=5a-10=0), we get (a=2). Substitute the given value directly into the polynomial.

Step 2

Why this answer is correct

The correct answer is B. (2). From (p(5)=5a-10=0), we get (a=2). Substitute the given value directly into the polynomial.

Step 3

Exam Tip

(p(5)=5a-10=0) से (a=2) मिलता है। दिए गए मान को सीधे बहुपद में रखें।

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Question 15/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

कौन सा रेखीय बहुपद (x=3) पर (0) हो जाता है?

Which linear polynomial becomes (0) at (x=3)?

Explanation opens after your attempt

Correct Answer

C. (x-3)

Step 1

Concept

Substituting (x=3) in (x-3) gives (0). Therefore its zero is (3).

Step 2

Why this answer is correct

The correct answer is C. (x-3). Substituting (x=3) in (x-3) gives (0). Therefore its zero is (3).

Step 3

Exam Tip

(x=3) रखने पर (x-3=0) मिलता है। इसलिए इसका शून्यक (3) है।

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Question 16/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (2(x-4)+5x) को सरल किया जाए, तो कौन सा बहुपद मिलेगा?

Which polynomial is obtained by simplifying (2(x-4)+5x)?

Explanation opens after your attempt

Correct Answer

A. (7x-8)

Step 1

Concept

(2(x-4)+5x=2x-8+5x=7x-8). Open brackets first and then add like terms.

Step 2

Why this answer is correct

The correct answer is A. (7x-8). (2(x-4)+5x=2x-8+5x=7x-8). Open brackets first and then add like terms.

Step 3

Exam Tip

(2(x-4)+5x=2x-8+5x=7x-8) है। पहले कोष्ठक खोलें फिर समान पद जोड़ें।

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Question 17/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=6-2x), तो इसका शून्यक क्या है?

If (p(x)=6-2x), what is its zero?

Explanation opens after your attempt

Correct Answer

B. (3)

Step 1

Concept

From (6-2x=0), we get (x=3). A linear polynomial has one zero.

Step 2

Why this answer is correct

The correct answer is B. (3). From (6-2x=0), we get (x=3). A linear polynomial has one zero.

Step 3

Exam Tip

(6-2x=0) से (x=3) मिलता है। रेखीय बहुपद का शून्यक एक होता है।

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Question 18/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस विकल्प में (p(0)=5) और (p(x)) रेखीय है?

Which option has (p(0)=5) and (p(x)) is linear?

Explanation opens after your attempt

Correct Answer

B. (p(x)=x+5)

Step 1

Concept

(p(0)) equals the constant term. (x+5) is linear and its constant term is (5).

Step 2

Why this answer is correct

The correct answer is B. (p(x)=x+5). (p(0)) equals the constant term. (x+5) is linear and its constant term is (5).

Step 3

Exam Tip

(p(0)) नियतांक पद के बराबर होता है। (x+5) रेखीय है और इसका नियतांक पद (5) है।

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Question 19/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=5x-2) और (p(t)=18), तो (t) का मान क्या है?

If (p(x)=5x-2) and (p(t)=18), what is the value of (t)?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

From (5t-2=18), (5t=20) and (t=4). First form the equation.

Step 2

Why this answer is correct

The correct answer is C. (4). From (5t-2=18), (5t=20) and (t=4). First form the equation.

Step 3

Exam Tip

(5t-2=18) से (5t=20) और (t=4) मिलता है। पहले समीकरण बनाएं।

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Question 20/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

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

Which option has a linear polynomial whose zero is not positive?

Explanation opens after your attempt

Correct Answer

C. (x+4)

Step 1

Concept

From (x+4=0), we get (x=-4). This zero is not positive.

Step 2

Why this answer is correct

The correct answer is C. (x+4). From (x+4=0), we get (x=-4). This zero is not positive.

Step 3

Exam Tip

(x+4=0) से (x=-4) मिलता है। यह शून्यक धनात्मक नहीं है।

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Question 21/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

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

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

Explanation opens after your attempt

Correct Answer

A. (6)

Step 1

Concept

Since the zero is (-3), (2(-3)+a=0). Therefore (a=6).

Step 2

Why this answer is correct

The correct answer is A. (6). Since the zero is (-3), (2(-3)+a=0). Therefore (a=6).

Step 3

Exam Tip

शून्यक (-3) होने से (2(-3)+a=0) होगा। इसलिए (a=6) है।

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Question 22/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस विकल्प में रेखीय बहुपद का शून्यक \(\frac{3}{2}\) है?

Which option has zero \(\frac{3}{2}\) for a linear polynomial?

Explanation opens after your attempt

Correct Answer

B. (2x-3)

Step 1

Concept

From (2x-3=0), we get \(x=\frac{3}{2}\). Set the polynomial equal to (0) to find the zero.

Step 2

Why this answer is correct

The correct answer is B. (2x-3). From (2x-3=0), we get \(x=\frac{3}{2}\). Set the polynomial equal to (0) to find the zero.

Step 3

Exam Tip

(2x-3=0) से \(x=\frac{3}{2}\) मिलता है। शून्यक के लिए बहुपद को (0) रखें।

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Question 23/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=x+1) और (q(x)=x-1), तो (p(x)q(x)) किस प्रकार का बहुपद है?

If (p(x)=x+1) and (q(x)=x-1), 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+1)(x-1)=x^-2-1). 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+1)(x-1)=x^-2-1). Its degree is (2), so it is quadratic.

Step 3

Exam Tip

(p(x)q(x)=(x+1)(x-1)=x^-2-1) है। इसकी डिग्री (2) है इसलिए यह द्विघात है।

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Question 24/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

रेखीय बहुपद (3x+b) का शून्यक (-2) है। (b) क्या है?

The zero of the linear polynomial (3x+b) is (-2). What is (b)?

Explanation opens after your attempt

Correct Answer

A. (6)

Step 1

Concept

From (3(-2)+b=0), we get (b=6). Substitute the zero into the polynomial and set it to (0).

Step 2

Why this answer is correct

The correct answer is A. (6). From (3(-2)+b=0), we get (b=6). Substitute the zero into the polynomial and set it to (0).

Step 3

Exam Tip

(3(-2)+b=0) से (b=6) मिलता है। शून्यक को बहुपद में रखकर (0) करें।

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Question 25/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस विकल्प का सरल रूप शून्य बहुपद है?

Which option has the zero polynomial as its simplified form?

Explanation opens after your attempt

Correct Answer

A. (3x+2-3x-2)

Step 1

Concept

(3x+2-3x-2=0). The degree of the zero polynomial is not defined.

Step 2

Why this answer is correct

The correct answer is A. (3x+2-3x-2). (3x+2-3x-2=0). The degree of the zero polynomial is not defined.

Step 3

Exam Tip

(3x+2-3x-2=0) है। शून्य बहुपद की डिग्री परिभाषित नहीं होती।

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Question 26/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=\frac{1}{2}x+3), तो (p(4)) क्या है?

If (p(x)=\frac{1}{2}x+3), what is (p(4))?

Explanation opens after your attempt

Correct Answer

B. (5)

Step 1

Concept

(p(4)=\frac{1}{2}\cdot4+3=5). With fractional coefficients, multiply first.

Step 2

Why this answer is correct

The correct answer is B. (5). (p(4)=\frac{1}{2}\cdot4+3=5). With fractional coefficients, multiply first.

Step 3

Exam Tip

(p(4)=\frac{1}{2}\cdot4+3=5) है। भिन्न गुणांक में पहले गुणा करें।

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Question 27/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस मान पर ((2a+1)x-4) रेखीय नहीं रहेगा?

For which value will ((2a+1)x-4) not remain linear?

Explanation opens after your attempt

Correct Answer

C. \(a=-\frac{1}{2}\)

Step 1

Concept

For it not to be linear, (2a+1=0). This gives \(a=-\frac{1}{2}\).

Step 2

Why this answer is correct

The correct answer is C. \(a=-\frac{1}{2}\). For it not to be linear, (2a+1=0). This gives \(a=-\frac{1}{2}\).

Step 3

Exam Tip

रेखीय न रहने के लिए (2a+1=0) होना चाहिए। इससे \(a=-\frac{1}{2}\) मिलता है।

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Question 28/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=10x-15), तो किस मान पर (p(x)=5) होगा?

If (p(x)=10x-15), for which value will (p(x)=5)?

Explanation opens after your attempt

Correct Answer

B. (x=2)

Step 1

Concept

From (10x-15=5), (10x=20) and (x=2). First simplify the equation.

Step 2

Why this answer is correct

The correct answer is B. (x=2). From (10x-15=5), (10x=20) and (x=2). First simplify the equation.

Step 3

Exam Tip

(10x-15=5) से (10x=20) और (x=2) मिलता है। पहले समीकरण को सरल करें।

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Question 29/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

कौन सा रेखीय बहुपद (x=0) पर (-7) देता है?

Which linear polynomial gives (-7) at (x=0)?

Explanation opens after your attempt

Correct Answer

C. (2x-7)

Step 1

Concept

At (x=0), the value of a polynomial is its constant term. The constant term of (2x-7) is (-7).

Step 2

Why this answer is correct

The correct answer is C. (2x-7). At (x=0), the value of a polynomial is its constant term. The constant term of (2x-7) is (-7).

Step 3

Exam Tip

(x=0) पर बहुपद का मान नियतांक पद होता है। (2x-7) का नियतांक पद (-7) है।

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Question 30/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=4x+c) और (p(2)=11), तो (c) क्या है?

If (p(x)=4x+c) and (p(2)=11), what is (c)?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

From (p(2)=8+c=11), 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)=8+c=11), we get (c=3). Substitute the given value into the polynomial.

Step 3

Exam Tip

(p(2)=8+c=11) से (c=3) मिलता है। दिए गए मान को बहुपद में रखें।

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Question 31/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस विकल्प में रेखीय बहुपद की डिग्री गलत बताई गई है?

In which option is the degree of the linear polynomial stated incorrectly?

Explanation opens after your attempt

Correct Answer

C. (0x+5) की डिग्री (1)Degree of (0x+5) is (1)

Step 1

Concept

(0x+5) simplifies to (5). Its degree is (0), not (1).

Step 2

Why this answer is correct

The correct answer is C. (0x+5) की डिग्री (1) / Degree of (0x+5) is (1). (0x+5) simplifies to (5). Its degree is (0), not (1).

Step 3

Exam Tip

(0x+5) सरल होकर (5) बनता है। इसकी डिग्री (0) है (1) नहीं।

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

यदि (p(x)=x+a) और (p(-5)=0), तो (a) क्या है?

If (p(x)=x+a) and (p(-5)=0), what is (a)?

Explanation opens after your attempt

Correct Answer

A. (5)

Step 1

Concept

From (-5+a=0), we get (a=5). Substitute the zero into the polynomial and solve.

Step 2

Why this answer is correct

The correct answer is A. (5). From (-5+a=0), we get (a=5). Substitute the zero into the polynomial and solve.

Step 3

Exam Tip

(-5+a=0) से (a=5) मिलता है। शून्यक को बहुपद में रखकर हल करें।

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Question 33/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

कौन सा बहुपद रेखीय है और उसका शून्यक (0) है?

Which polynomial is linear and has zero (0)?

Explanation opens after your attempt

Correct Answer

B. (5x)

Step 1

Concept

From (5x=0), we get (x=0), and the degree of the polynomial is (1). So it is correct.

Step 2

Why this answer is correct

The correct answer is B. (5x). From (5x=0), we get (x=0), and the degree of the polynomial is (1). So it is correct.

Step 3

Exam Tip

(5x=0) से (x=0) मिलता है और बहुपद की डिग्री (1) है। इसलिए यह सही है।

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

यदि (p(x)=2x-1), तो (p(3)+p(-1)) क्या है?

If (p(x)=2x-1), what is (p(3)+p(-1))?

Explanation opens after your attempt

Correct Answer

C. (2)

Step 1

Concept

(p(3)=5) and (p(-1)=-3). Therefore the sum is (2).

Step 2

Why this answer is correct

The correct answer is C. (2). (p(3)=5) and (p(-1)=-3). Therefore the sum is (2).

Step 3

Exam Tip

(p(3)=5) और (p(-1)=-3) हैं। इसलिए योग (2) है।

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Question 35/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस विकल्प में (x) का गुणांक (3) और शून्यक (-2) है?

Which option has coefficient of (x) equal to (3) and zero (-2)?

Explanation opens after your attempt

Correct Answer

B. (3x+6)

Step 1

Concept

From (3x+6=0), we get (x=-2), and the coefficient of (x) is (3).

Step 2

Why this answer is correct

The correct answer is B. (3x+6). From (3x+6=0), we get (x=-2), and the coefficient of (x) is (3).

Step 3

Exam Tip

(3x+6=0) से (x=-2) मिलता है और (x) का गुणांक (3) है।

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Question 36/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=kx+2) और (p(0)=2), तो (k) के बारे में कौन सा कथन सही है ताकि (p(x)) रेखीय हो?

If (p(x)=kx+2) and (p(0)=2), 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)=2) 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)=2) is true for every (k). For the polynomial to be linear, \(k\neq0\) is necessary.

Step 3

Exam Tip

(p(0)=2) हर (k) के लिए सही है। रेखीय होने के लिए \(k\neq0\) जरूरी है।

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Question 37/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस विकल्प में दो रेखीय बहुपदों का योग नियतांक बहुपद है?

In which option is the sum of two linear polynomials a constant polynomial?

Explanation opens after your attempt

Correct Answer

B. (3x+4) और (-3x+5)(3x+4) and (-3x+5)

Step 1

Concept

(3x+4+(-3x+5)=9). When the (x)-terms cancel, a constant polynomial is obtained.

Step 2

Why this answer is correct

The correct answer is B. (3x+4) और (-3x+5) / (3x+4) and (-3x+5). (3x+4+(-3x+5)=9). When the (x)-terms cancel, a constant polynomial is obtained.

Step 3

Exam Tip

(3x+4+(-3x+5)=9) है। (x) वाले पद कटने पर नियतांक बहुपद मिलता है।

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Question 38/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

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

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

Explanation opens after your attempt

Correct Answer

B. (1)

Step 1

Concept

(p(x)-4=3x), 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)-4=3x), whose degree is (1). Even after removing the constant term, the (x)-term remains.

Step 3

Exam Tip

(p(x)-4=3x) है जिसकी डिग्री (1) है। नियतांक हटने पर भी (x) पद बचता है।

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Question 39/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=2x+7), तो (p(x)-2x) किस प्रकार का बहुपद है?

If (p(x)=2x+7), what type of polynomial is (p(x)-2x)?

Explanation opens after your attempt

Correct Answer

B. नियतांक बहुपदConstant polynomial

Step 1

Concept

(p(x)-2x=7). 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)-2x=7). It is a non-zero constant polynomial.

Step 3

Exam Tip

(p(x)-2x=7) है। यह अशून्य नियतांक बहुपद है।

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Question 40/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस विकल्प में रेखीय बहुपद का शून्यक \(-\frac{5}{3}\) है?

Which option has zero \(-\frac{5}{3}\) for a linear polynomial?

Explanation opens after your attempt

Correct Answer

C. (3x+5)

Step 1

Concept

From (3x+5=0), we get \(x=-\frac{5}{3}\). Pay attention to the sign in fractional zeros.

Step 2

Why this answer is correct

The correct answer is C. (3x+5). From (3x+5=0), we get \(x=-\frac{5}{3}\). Pay attention to the sign in fractional zeros.

Step 3

Exam Tip

(3x+5=0) से \(x=-\frac{5}{3}\) मिलता है। भिन्न शून्यक में चिन्ह ध्यान रखें।

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Question 41/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=9-4x), तो (p(2)) का मान क्या है?

If (p(x)=9-4x), what is the value of (p(2))?

Explanation opens after your attempt

Correct Answer

D. (1)

Step 1

Concept

(p(2)=9-4(2)=1). Multiply first and then subtract.

Step 2

Why this answer is correct

The correct answer is D. (1). (p(2)=9-4(2)=1). Multiply first and then subtract.

Step 3

Exam Tip

(p(2)=9-4(2)=1) है। पहले गुणा करें फिर घटाएं।

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Question 42/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस विकल्प में सरल करने के बाद (x) का गुणांक (0) हो जाएगा?

In which option will the coefficient of (x) become (0) after simplification?

Explanation opens after your attempt

Correct Answer

B. (7x-7x+3)

Step 1

Concept

(7x-7x+3=3). The coefficient of (x) becomes (0).

Step 2

Why this answer is correct

The correct answer is B. (7x-7x+3). (7x-7x+3=3). The coefficient of (x) becomes (0).

Step 3

Exam Tip

(7x-7x+3=3) है। इसमें (x) का गुणांक (0) हो जाता है।

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Question 43/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=x-4) और (q(x)=2x+1), तो (2p(x)+q(x)) क्या है?

If (p(x)=x-4) and (q(x)=2x+1), what is (2p(x)+q(x))?

Explanation opens after your attempt

Correct Answer

A. (4x-7)

Step 1

Concept

(2p(x)+q(x)=2(x-4)+(2x+1)=4x-7). First multiply and then add like terms.

Step 2

Why this answer is correct

The correct answer is A. (4x-7). (2p(x)+q(x)=2(x-4)+(2x+1)=4x-7). First multiply and then add like terms.

Step 3

Exam Tip

(2p(x)+q(x)=2(x-4)+(2x+1)=4x-7) है। पहले गुणा फिर समान पद जोड़ें।

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Question 44/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=3x-6), तो कौन सा मान इसका शून्यक है?

If (p(x)=3x-6), which value is its zero?

Explanation opens after your attempt

Correct Answer

B. (x=2)

Step 1

Concept

From (3x-6=0), we get (x=2). A zero is the value where the polynomial becomes (0).

Step 2

Why this answer is correct

The correct answer is B. (x=2). From (3x-6=0), we get (x=2). A zero is the value where the polynomial becomes (0).

Step 3

Exam Tip

(3x-6=0) से (x=2) मिलता है। शून्यक वही मान है जहां बहुपद (0) हो।

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Question 45/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस विकल्प में (2x+5) और (x-1) का अंतर (x+6) है?

In which order is the difference of (2x+5) and (x-1) equal to (x+6)?

Explanation opens after your attempt

Correct Answer

A. (2x+5-(x-1))

Step 1

Concept

(2x+5-(x-1)=x+6). Change signs inside the bracket while subtracting.

Step 2

Why this answer is correct

The correct answer is A. (2x+5-(x-1)). (2x+5-(x-1)=x+6). Change signs inside the bracket while subtracting.

Step 3

Exam Tip

(2x+5-(x-1)=x+6) है। घटाते समय कोष्ठक के चिन्ह बदलें।

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Question 46/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

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

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

Explanation opens after your attempt

Correct Answer

B. (a=0)

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

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

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Question 47/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=\frac{3}{4}x-6), तो (p(8)) क्या है?

If (p(x)=\frac{3}{4}x-6), what is (p(8))?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

(p(8)=\frac{3}{4}\cdot8-6=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{3}{4}\cdot8-6=0). Therefore (8) is a zero of this polynomial.

Step 3

Exam Tip

(p(8)=\frac{3}{4}\cdot8-6=0) है। इसलिए (8) इस बहुपद का शून्यक है।

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Question 48/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=x+3), तो (p(x)²) किस प्रकार का बहुपद होगा?

If (p(x)=x+3), 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+3)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+3)²) has degree (2). Therefore it is a quadratic polynomial.

Step 3

Exam Tip

(p(x)²=(x+3)²) की डिग्री (2) होती है। इसलिए यह द्विघात बहुपद है।

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Question 49/50 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस विकल्प में रेखीय बहुपद का अग्र गुणांक (0) नहीं है?

Which option has a linear polynomial whose leading coefficient is not (0)?

Explanation opens after your attempt

Correct Answer

B. (5x+0)

Step 1

Concept

In (5x+0), the coefficient of (x) is (5), which is non-zero. Therefore it is a linear polynomial.

Step 2

Why this answer is correct

The correct answer is B. (5x+0). In (5x+0), the coefficient of (x) is (5), which is non-zero. Therefore it is a linear polynomial.

Step 3

Exam Tip

(5x+0) में (x) का गुणांक (5) है जो शून्य नहीं है। इसलिए यह रेखीय बहुपद है।

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

यदि (p(x)=2x+b) और (p(3)=p(1)+8), तो (b) के बारे में क्या सही है?

If (p(x)=2x+b) and (p(3)=p(1)+8), what is correct about (b)?

Explanation opens after your attempt

Correct Answer

B. हर (b) सही हैEvery (b) is valid

Step 1

Concept

(p(3)-p(1)=(6+b)-(2+b)=4). Therefore the given condition for (8) is never true.

Step 2

Why this answer is correct

The correct answer is B. हर (b) सही है / Every (b) is valid. (p(3)-p(1)=(6+b)-(2+b)=4). Therefore the given condition for (8) is never true.

Step 3

Exam Tip

(p(3)-p(1)=(6+b)-(2+b)=4) होता है। इसलिए दी गई शर्त (8) के लिए कभी सही नहीं होती।

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Class 9 Mathematics Medium Quiz

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

Concept

Why this answer is correct

Exam Tip

किस मान पर ((a-3)x+8) रेखीय बहुपद नहीं रहेगा?

Concept

Why this answer is correct

Exam Tip

रेखीय बहुपद (5x+20) का शून्यक क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=7x-9), तो (p(2)-p(1)) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

किस विकल्प का सरल रूप रेखीय बहुपद है?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=mx+6) का शून्यक (2) है, तो (m) का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

रेखीय बहुपद (ax+b) में शून्यक किस सूत्र से मिलेगा?

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=4x+1) और (q(x)=4x-7), तो (p(x)-q(x)) किस प्रकार का बहुपद है?

Concept

Why this answer is correct

Exam Tip

किस मान पर ((k+5)x-11) का शून्यक (1) होगा?

Concept

Why this answer is correct

Exam Tip

कौन सा बहुपद सरल करने पर (3x-2) बनेगा?

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

किस विकल्प में (x) का गुणांक और नियतांक पद दोनों ऋणात्मक हैं?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=ax-10) और (p(5)=0), तो (a) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

कौन सा रेखीय बहुपद (x=3) पर (0) हो जाता है?

Concept

Why this answer is correct

Exam Tip

यदि (2(x-4)+5x) को सरल किया जाए, तो कौन सा बहुपद मिलेगा?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=6-2x), तो इसका शून्यक क्या है?

Concept

Why this answer is correct

Exam Tip

किस विकल्प में (p(0)=5) और (p(x)) रेखीय है?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=5x-2) और (p(t)=18), तो (t) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct