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Class 9 Mathematics - Introduction to Polynomials - Linear polynomials Medium Quiz

Mathematics Introduction to Polynomials Linear polynomials Medium Class 9 Topic Quiz

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Question 1/150 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)

Explanation

Simple Explanation

(3(x+2)-2x=3x+6-2x=x+6) है। समान पदों को ध्यान से जोड़ें या घटाएं। / (3(x+2)-2x=3x+6-2x=x+6). Add or subtract like terms carefully.

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Question 2/150 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)

Explanation

Simple Explanation

रेखीय होने के लिए (x) का गुणांक शून्य नहीं होना चाहिए। (a=3) पर (a-3=0) हो जाता है। / To be linear, the coefficient of (x) must be non-zero. At (a=3), (a-3=0).

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Question 3/150 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)

Explanation

Simple Explanation

(5x+20=0) रखने पर (x=-4) मिलता है। शून्यक निकालते समय चिन्ह पर ध्यान रखें। / Setting (5x+20=0) gives (x=-4). Pay attention to the sign while finding the zero.

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Question 4/150 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)

Explanation

Simple Explanation

(p(2)=5) और (p(1)=-2) हैं। इसलिए अंतर (5-(-2)=7) है। / (p(2)=5) and (p(1)=-2). Therefore the difference is (5-(-2)=7).

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Question 5/150 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. \(x^2+x-x^2+4\)

Explanation

Simple Explanation

पहला विकल्प सरल होकर (x+4) बनता है जिसकी डिग्री (1) है। इसलिए यह रेखीय है। / The first option simplifies to (x+4), whose degree is (1). Therefore it is linear.

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Question 6/150 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)

Explanation

Simple Explanation

शून्यक (2) होने से (2m+6=0) होगा। इसलिए (m=-3) है। / Since the zero is (2), (2m+6=0). Therefore (m=-3).

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Question 7/150 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. \(-\frac{b}{a}\)

Explanation

Simple Explanation

(ax+b=0) से \(x=-\frac{b}{a}\) मिलता है। यहां \(a\neq0\) होना जरूरी है। / From (ax+b=0), we get \(x=-\frac{b}{a}\). Here \(a\neq0\) is necessary.

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Question 8/150 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)

Explanation

Simple Explanation

योग (6x+2) है जिसकी सबसे बड़ी घात (1) है। इसलिए डिग्री (1) है। / The sum is (6x+2), whose highest power is (1). Therefore the degree is (1).

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Question 9/150 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

Explanation

Simple Explanation

(p(x)-q(x)=8) है। यह अशून्य नियतांक बहुपद है जिसकी डिग्री (0) होती है। / (p(x)-q(x)=8). It is a non-zero constant polynomial with degree (0).

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Question 10/150 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)

Explanation

Simple Explanation

शून्यक (1) होने पर (k+5-11=0) होगा। इससे (k=6) मिलता है। / If the zero is (1), then (k+5-11=0). This gives (k=6).

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Question 11/150 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)

Explanation

Simple Explanation

(7x-4x-2=3x-2) है। समान (x) वाले पदों को पहले सरल करें। / (7x-4x-2=3x-2). First simplify like (x)-terms.

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Question 12/150 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)

Explanation

Simple Explanation

(p(-2)=3(-2)+2=-4) है। ऋणात्मक मान रखते समय चिन्ह ध्यान से लगाएं। / (p(-2)=3(-2)+2=-4). Handle signs carefully when substituting a negative value.

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Question 13/150 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)

Explanation

Simple Explanation

(-4x-3) में (x) का गुणांक (-4) और नियतांक पद (-3) है। दोनों ऋणात्मक हैं। / In (-4x-3), the coefficient of (x) is (-4) and the constant term is (-3). Both are negative.

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Question 14/150 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)

Explanation

Simple Explanation

(p(5)=5a-10=0) से (a=2) मिलता है। दिए गए मान को सीधे बहुपद में रखें। / From (p(5)=5a-10=0), we get (a=2). Substitute the given value directly into the polynomial.

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Question 15/150 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)

Explanation

Simple Explanation

(x=3) रखने पर (x-3=0) मिलता है। इसलिए इसका शून्यक (3) है। / Substituting (x=3) in (x-3) gives (0). Therefore its zero is (3).

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Question 16/150 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)

Explanation

Simple Explanation

(2(x-4)+5x=2x-8+5x=7x-8) है। पहले कोष्ठक खोलें फिर समान पद जोड़ें। / (2(x-4)+5x=2x-8+5x=7x-8). Open brackets first and then add like terms.

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Question 17/150 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)

Explanation

Simple Explanation

(6-2x=0) से (x=3) मिलता है। रेखीय बहुपद का शून्यक एक होता है। / From (6-2x=0), we get (x=3). A linear polynomial has one zero.

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Question 18/150 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)

Explanation

Simple Explanation

(p(0)) नियतांक पद के बराबर होता है। (x+5) रेखीय है और इसका नियतांक पद (5) है। / (p(0)) equals the constant term. (x+5) is linear and its constant term is (5).

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Question 19/150 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)

Explanation

Simple Explanation

(5t-2=18) से (5t=20) और (t=4) मिलता है। पहले समीकरण बनाएं। / From (5t-2=18), (5t=20) and (t=4). First form the equation.

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Question 20/150 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)

Explanation

Simple Explanation

(x+4=0) से (x=-4) मिलता है। यह शून्यक धनात्मक नहीं है। / From (x+4=0), we get (x=-4). This zero is not positive.

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Question 21/150 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)

Explanation

Simple Explanation

शून्यक (-3) होने से (2(-3)+a=0) होगा। इसलिए (a=6) है। / Since the zero is (-3), (2(-3)+a=0). Therefore (a=6).

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Question 22/150 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)

Explanation

Simple Explanation

(2x-3=0) से \(x=\frac{3}{2}\) मिलता है। शून्यक के लिए बहुपद को (0) रखें। / From (2x-3=0), we get \(x=\frac{3}{2}\). Set the polynomial equal to (0) to find the zero.

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Question 23/150 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

Explanation

Simple Explanation

(p(x)q(x)=(x+1)(x-1)=x-2-1) है। इसकी डिग्री (2) है इसलिए यह द्विघात है। / (p(x)q(x)=(x+1)(x-1)=x-2-1). Its degree is (2), so it is quadratic.

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Question 24/150 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)

Explanation

Simple Explanation

(3(-2)+b=0) से (b=6) मिलता है। शून्यक को बहुपद में रखकर (0) करें। / From (3(-2)+b=0), we get (b=6). Substitute the zero into the polynomial and set it to (0).

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Question 25/150 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)

Explanation

Simple Explanation

(3x+2-3x-2=0) है। शून्य बहुपद की डिग्री परिभाषित नहीं होती। / (3x+2-3x-2=0). The degree of the zero polynomial is not defined.

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Question 26/150 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)

Explanation

Simple Explanation

(p(4)=\frac{1}{2}\cdot4+3=5) है। भिन्न गुणांक में पहले गुणा करें। / (p(4)=\frac{1}{2}\cdot4+3=5). With fractional coefficients, multiply first.

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Question 27/150 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. \(a=-\frac{1}{2}\)

Explanation

Simple Explanation

रेखीय न रहने के लिए (2a+1=0) होना चाहिए। इससे \(a=-\frac{1}{2}\) मिलता है। / For it not to be linear, (2a+1=0). This gives \(a=-\frac{1}{2}\).

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Question 28/150 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)

Explanation

Simple Explanation

(10x-15=5) से (10x=20) और (x=2) मिलता है। पहले समीकरण को सरल करें। / From (10x-15=5), (10x=20) and (x=2). First simplify the equation.

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Question 29/150 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)

Explanation

Simple Explanation

(x=0) पर बहुपद का मान नियतांक पद होता है। (2x-7) का नियतांक पद (-7) है। / At (x=0), the value of a polynomial is its constant term. The constant term of (2x-7) is (-7).

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Question 30/150 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)

Explanation

Simple Explanation

(p(2)=8+c=11) से (c=3) मिलता है। दिए गए मान को बहुपद में रखें। / From (p(2)=8+c=11), we get (c=3). Substitute the given value into the polynomial.

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Question 31/150 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)

Explanation

Simple Explanation

(0x+5) सरल होकर (5) बनता है। इसकी डिग्री (0) है (1) नहीं। / (0x+5) simplifies to (5). Its degree is (0), not (1).

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Question 32/150 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)

Explanation

Simple Explanation

(-5+a=0) से (a=5) मिलता है। शून्यक को बहुपद में रखकर हल करें। / From (-5+a=0), we get (a=5). Substitute the zero into the polynomial and solve.

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Question 33/150 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)

Explanation

Simple Explanation

(5x=0) से (x=0) मिलता है और बहुपद की डिग्री (1) है। इसलिए यह सही है। / From (5x=0), we get (x=0), and the degree of the polynomial is (1). So it is correct.

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Question 34/150 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)

Explanation

Simple Explanation

(p(3)=5) और (p(-1)=-3) हैं। इसलिए योग (2) है। / (p(3)=5) and (p(-1)=-3). Therefore the sum is (2).

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Question 35/150 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)

Explanation

Simple Explanation

(3x+6=0) से (x=-2) मिलता है और (x) का गुणांक (3) है। / From (3x+6=0), we get (x=-2), and the coefficient of (x) is (3).

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Question 36/150 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. \(k\neq0\)

Explanation

Simple Explanation

(p(0)=2) हर (k) के लिए सही है। रेखीय होने के लिए \(k\neq0\) जरूरी है। / (p(0)=2) is true for every (k). For the polynomial to be linear, \(k\neq0\) is necessary.

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Question 37/150 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)

Explanation

Simple Explanation

(3x+4+(-3x+5)=9) है। (x) वाले पद कटने पर नियतांक बहुपद मिलता है। / (3x+4+(-3x+5)=9). When the (x)-terms cancel, a constant polynomial is obtained.

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Question 38/150 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)

Explanation

Simple Explanation

(p(x)-4=3x) है जिसकी डिग्री (1) है। नियतांक हटने पर भी (x) पद बचता है। / (p(x)-4=3x), whose degree is (1). Even after removing the constant term, the (x)-term remains.

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Question 39/150 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

Explanation

Simple Explanation

(p(x)-2x=7) है। यह अशून्य नियतांक बहुपद है। / (p(x)-2x=7). It is a non-zero constant polynomial.

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Question 40/150 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)

Explanation

Simple Explanation

(3x+5=0) से \(x=-\frac{5}{3}\) मिलता है। भिन्न शून्यक में चिन्ह ध्यान रखें। / From (3x+5=0), we get \(x=-\frac{5}{3}\). Pay attention to the sign in fractional zeros.

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Question 41/150 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)

Explanation

Simple Explanation

(p(2)=9-4(2)=1) है। पहले गुणा करें फिर घटाएं। / (p(2)=9-4(2)=1). Multiply first and then subtract.

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Question 42/150 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)

Explanation

Simple Explanation

(7x-7x+3=3) है। इसमें (x) का गुणांक (0) हो जाता है। / (7x-7x+3=3). The coefficient of (x) becomes (0).

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Question 43/150 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)

Explanation

Simple Explanation

(2p(x)+q(x)=2(x-4)+(2x+1)=4x-7) है। पहले गुणा फिर समान पद जोड़ें। / (2p(x)+q(x)=2(x-4)+(2x+1)=4x-7). First multiply and then add like terms.

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Question 44/150 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)

Explanation

Simple Explanation

(3x-6=0) से (x=2) मिलता है। शून्यक वही मान है जहां बहुपद (0) हो। / From (3x-6=0), we get (x=2). A zero is the value where the polynomial becomes (0).

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Question 45/150 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))

Explanation

Simple Explanation

(2x+5-(x-1)=x+6) है। घटाते समय कोष्ठक के चिन्ह बदलें। / (2x+5-(x-1)=x+6). Change signs inside the bracket while subtracting.

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Question 46/150 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)

Explanation

Simple Explanation

रेखीय होने के लिए \(a+2\neq0\) चाहिए। (a=0) पर गुणांक (2) है और (p(0)=0) रहता है। / For it to be linear, \(a+2\neq0\) is needed. At (a=0), the coefficient is (2) and (p(0)=0).

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Question 47/150 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)

Explanation

Simple Explanation

(p(8)=\frac{3}{4}\cdot8-6=0) है। इसलिए (8) इस बहुपद का शून्यक है। / (p(8)=\frac{3}{4}\cdot8-6=0). Therefore (8) is a zero of this polynomial.

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Question 48/150 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

Explanation

Simple Explanation

(p(x)2=(x+3)2) की डिग्री (2) होती है। इसलिए यह द्विघात बहुपद है। / (p(x)2=(x+3)2) has degree (2). Therefore it is a quadratic polynomial.

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Question 49/150 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)

Explanation

Simple Explanation

(5x+0) में (x) का गुणांक (5) है जो शून्य नहीं है। इसलिए यह रेखीय बहुपद है। / In (5x+0), the coefficient of (x) is (5), which is non-zero. Therefore it is a linear polynomial.

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Question 50/150 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

Explanation

Simple Explanation

(p(3)-p(1)=(6+b)-(2+b)=4) होता है। इसलिए दी गई शर्त (8) के लिए कभी सही नहीं होती। / (p(3)-p(1)=(6+b)-(2+b)=4). Therefore the given condition for (8) is never true.

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Question 51/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

यदि (p(x)=4x+7), तो (p(3)-p(1)) का मान क्या है?

If (p(x)=4x+7), what is the value of (p(3)-p(1))?

Explanation opens after your attempt
Correct Answer

B. (8)

Explanation

Simple Explanation

(p(3)=19) और (p(1)=11) हैं। इसलिए अंतर (8) है। / (p(3)=19) and (p(1)=11). Therefore the difference is (8).

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Question 52/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

किस मान पर ((m+4)x-9) रेखीय बहुपद नहीं रहेगा?

For which value will ((m+4)x-9) not remain a linear polynomial?

Explanation opens after your attempt
Correct Answer

C. (m=-4)

Explanation

Simple Explanation

रेखीय होने के लिए (x) का गुणांक शून्य नहीं होना चाहिए। (m=-4) पर (m+4=0) हो जाता है। / To be linear, the coefficient of (x) must be non-zero. At (m=-4), (m+4=0).

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Question 53/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

रेखीय बहुपद (6x-18) का शून्यक क्या है?

What is the zero of the linear polynomial (6x-18)?

Explanation opens after your attempt
Correct Answer

B. (3)

Explanation

Simple Explanation

(6x-18=0) से (x=3) मिलता है। शून्यक के लिए बहुपद को (0) रखें। / From (6x-18=0), we get (x=3). Set the polynomial equal to (0) to find the zero.

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Question 54/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

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

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

Explanation opens after your attempt
Correct Answer

A. (2x-6)

Explanation

Simple Explanation

(5(x-2)-3x+4=5x-10-3x+4=2x-6) है। पहले कोष्ठक खोलें। / (5(x-2)-3x+4=5x-10-3x+4=2x-6). Open brackets first.

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Question 55/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

यदि (p(x)=ax+12) का शून्यक (3) है, तो (a) का मान क्या है?

If the zero of (p(x)=ax+12) is (3), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

B. (-4)

Explanation

Simple Explanation

शून्यक (3) होने से (3a+12=0) होगा। इसलिए (a=-4) है। / Since the zero is (3), (3a+12=0). Therefore (a=-4).

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Question 56/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

कौन सा विकल्प सरल होकर रेखीय बहुपद (2x+5) बनता है?

Which option simplifies to the linear polynomial (2x+5)?

Explanation opens after your attempt
Correct Answer

A. (5x-3x+5)

Explanation

Simple Explanation

(5x-3x+5=2x+5) है। समान पदों को मिलाकर सरल करें। / (5x-3x+5=2x+5). Simplify by combining like terms.

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Question 57/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

यदि (p(x)=3x-5) और (q(x)=x+7), तो (p(x)+q(x)) की डिग्री क्या है?

If (p(x)=3x-5) and (q(x)=x+7), what is the degree of (p(x)+q(x))?

Explanation opens after your attempt
Correct Answer

B. (1)

Explanation

Simple Explanation

योग (4x+2) है जिसकी सबसे बड़ी घात (1) है। इसलिए डिग्री (1) है। / The sum is (4x+2), whose highest power is (1). Therefore the degree is (1).

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Question 58/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

यदि (p(x)=5x+4) और (q(x)=5x-6), तो (p(x)-q(x)) किस प्रकार का बहुपद है?

If (p(x)=5x+4) and (q(x)=5x-6), what type of polynomial is (p(x)-q(x))?

Explanation opens after your attempt
Correct Answer

B. नियतांक बहुपदConstant polynomial

Explanation

Simple Explanation

(p(x)-q(x)=10) है। यह अशून्य नियतांक बहुपद है। / (p(x)-q(x)=10). It is a non-zero constant polynomial.

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Question 59/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

किस मान पर ((k-7)x+14) का शून्यक (-2) होगा?

For which value will the zero of ((k-7)x+14) be (-2)?

Explanation opens after your attempt
Correct Answer

C. (k=14)

Explanation

Simple Explanation

शून्यक (-2) होने पर (-2(k-7)+14=0) होगा। इससे (k=14) मिलता है। / If the zero is (-2), then (-2(k-7)+14=0). This gives (k=14).

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Question 60/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

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

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

Explanation opens after your attempt
Correct Answer

C. (-13)

Explanation

Simple Explanation

(p(-3)=2(-3)-7=-13) है। ऋणात्मक मान रखते समय चिन्ह ध्यान से लगाएं। / (p(-3)=2(-3)-7=-13). Handle signs carefully when substituting a negative value.

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Question 61/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

किस विकल्प में रेखीय बहुपद का शून्यक \(\frac{5}{4}\) है?

Which option has zero \(\frac{5}{4}\) for a linear polynomial?

Explanation opens after your attempt
Correct Answer

C. (4x-5)

Explanation

Simple Explanation

(4x-5=0) से \(x=\frac{5}{4}\) मिलता है। भिन्न शून्यक में चिन्ह और हर ध्यान रखें। / From (4x-5=0), we get \(x=\frac{5}{4}\). In fractional zeros, note the sign and denominator.

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Question 62/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

यदि (p(x)=6x+c) और (p(2)=17), तो (c) क्या है?

If (p(x)=6x+c) and (p(2)=17), what is (c)?

Explanation opens after your attempt
Correct Answer

B. (5)

Explanation

Simple Explanation

(p(2)=12+c=17) से (c=5) मिलता है। दिए गए मान को बहुपद में रखें। / From (p(2)=12+c=17), we get (c=5). Substitute the given value into the polynomial.

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Question 63/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

कौन सा रेखीय बहुपद (x=-4) पर (0) हो जाता है?

Which linear polynomial becomes (0) at (x=-4)?

Explanation opens after your attempt
Correct Answer

B. (x+4)

Explanation

Simple Explanation

(x=-4) रखने पर (x+4=0) मिलता है। इसलिए इसका शून्यक (-4) है। / Substituting (x=-4) in (x+4) gives (0). Therefore its zero is (-4).

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Question 64/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

यदि (3(x+1)+2(x-4)) को सरल किया जाए, तो कौन सा बहुपद मिलेगा?

Which polynomial is obtained by simplifying (3(x+1)+2(x-4))?

Explanation opens after your attempt
Correct Answer

A. (5x-5)

Explanation

Simple Explanation

(3x+3+2x-8=5x-5) है। कोष्ठक खोलकर समान पद जोड़ें। / (3x+3+2x-8=5x-5). Open brackets and add like terms.

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Question 65/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

यदि (p(x)=9-3x), तो इसका शून्यक क्या है?

If (p(x)=9-3x), what is its zero?

Explanation opens after your attempt
Correct Answer

B. (3)

Explanation

Simple Explanation

(9-3x=0) से (x=3) मिलता है। रेखीय बहुपद का केवल एक शून्यक होता है। / From (9-3x=0), we get (x=3). A linear polynomial has only one zero.

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Question 66/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

किस विकल्प में (p(0)=-6) और (p(x)) रेखीय है?

Which option has (p(0)=-6) and (p(x)) is linear?

Explanation opens after your attempt
Correct Answer

B. (p(x)=x-6)

Explanation

Simple Explanation

(p(0)) नियतांक पद के बराबर होता है। (x-6) रेखीय है और इसका नियतांक पद (-6) है। / (p(0)) equals the constant term. (x-6) is linear and its constant term is (-6).

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Question 67/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

यदि (p(x)=4x+1) और (p(t)=21), तो (t) का मान क्या है?

If (p(x)=4x+1) and (p(t)=21), what is the value of (t)?

Explanation opens after your attempt
Correct Answer

C. (5)

Explanation

Simple Explanation

(4t+1=21) से (4t=20) और (t=5) मिलता है। पहले समीकरण बनाएं। / From (4t+1=21), (4t=20) and (t=5). First form the equation.

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Question 68/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

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

Which option has a linear polynomial whose zero is negative?

Explanation opens after your attempt
Correct Answer

C. (x+5)

Explanation

Simple Explanation

(x+5=0) से (x=-5) मिलता है। इसलिए इसका शून्यक ऋणात्मक है। / From (x+5=0), we get (x=-5). Therefore its zero is negative.

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Question 69/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

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

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

Explanation opens after your attempt
Correct Answer

A. (6)

Explanation

Simple Explanation

शून्यक (-2) होने से (3(-2)+a=0) होगा। इसलिए (a=6) है। / Since the zero is (-2), (3(-2)+a=0). Therefore (a=6).

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Question 70/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

यदि (p(x)=x+2) और (q(x)=x+5), तो (q(x)-p(x)) किस प्रकार का बहुपद है?

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

Explanation opens after your attempt
Correct Answer

B. नियतांक बहुपदConstant polynomial

Explanation

Simple Explanation

(q(x)-p(x)=3) है। यह अशून्य नियतांक बहुपद है। / (q(x)-p(x)=3). It is a non-zero constant polynomial.

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Question 71/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

रेखीय बहुपद (2x+b) का शून्यक (4) है। (b) क्या है?

The zero of the linear polynomial (2x+b) is (4). What is (b)?

Explanation opens after your attempt
Correct Answer

B. (-8)

Explanation

Simple Explanation

(2(4)+b=0) से (b=-8) मिलता है। शून्यक को बहुपद में रखकर (0) करें। / From (2(4)+b=0), we get (b=-8). Substitute the zero into the polynomial and set it to (0).

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Question 72/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

यदि (p(x)=\frac{2}{3}x+5), तो (p(6)) क्या है?

If (p(x)=\frac{2}{3}x+5), what is (p(6))?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

(p(6)=\frac{2}{3}\cdot6+5=9) है। भिन्न गुणांक में पहले गुणा करें। / (p(6)=\frac{2}{3}\cdot6+5=9). With fractional coefficients, multiply first.

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Question 73/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

किस मान पर ((3a-6)x+1) रेखीय नहीं रहेगा?

For which value will ((3a-6)x+1) not remain linear?

Explanation opens after your attempt
Correct Answer

B. (a=2)

Explanation

Simple Explanation

रेखीय न रहने के लिए (3a-6=0) होना चाहिए। इससे (a=2) मिलता है। / For it not to be linear, (3a-6=0). This gives (a=2).

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Question 74/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

यदि (p(x)=8x-12), तो किस मान पर (p(x)=4) होगा?

If (p(x)=8x-12), for which value will (p(x)=4)?

Explanation opens after your attempt
Correct Answer

B. (x=2)

Explanation

Simple Explanation

(8x-12=4) से (8x=16) और (x=2) मिलता है। पहले समीकरण को सरल करें। / From (8x-12=4), (8x=16) and (x=2). First simplify the equation.

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Question 75/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

कौन सा रेखीय बहुपद (x=0) पर (9) देता है?

Which linear polynomial gives (9) at (x=0)?

Explanation opens after your attempt
Correct Answer

B. (x+9)

Explanation

Simple Explanation

(x=0) पर बहुपद का मान नियतांक पद होता है। (x+9) का नियतांक पद (9) है। / At (x=0), the value of a polynomial is its constant term. The constant term of (x+9) is (9).

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Question 76/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

यदि (p(x)=7x+c) और (p(1)=2), तो (c) क्या है?

If (p(x)=7x+c) and (p(1)=2), what is (c)?

Explanation opens after your attempt
Correct Answer

B. (-5)

Explanation

Simple Explanation

(p(1)=7+c=2) से (c=-5) मिलता है। दिए गए मान को बहुपद में रखें। / From (p(1)=7+c=2), we get (c=-5). Substitute the given value into the polynomial.

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Question 77/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

यदि (p(x)=x+a) और (p(6)=0), तो (a) क्या है?

If (p(x)=x+a) and (p(6)=0), what is (a)?

Explanation opens after your attempt
Correct Answer

B. (-6)

Explanation

Simple Explanation

(6+a=0) से (a=-6) मिलता है। शून्यक को बहुपद में रखकर हल करें। / From (6+a=0), we get (a=-6). Substitute the zero into the polynomial and solve.

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Question 78/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

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

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

Explanation opens after your attempt
Correct Answer

B. (-4)

Explanation

Simple Explanation

(p(2)=4) और (p(-2)=-8) हैं। इसलिए योग (-4) है। / (p(2)=4) and (p(-2)=-8). Therefore the sum is (-4).

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Question 79/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

किस विकल्प में (x) का गुणांक (5) और शून्यक (-1) है?

Which option has coefficient of (x) equal to (5) and zero (-1)?

Explanation opens after your attempt
Correct Answer

B. (5x+5)

Explanation

Simple Explanation

(5x+5=0) से (x=-1) मिलता है और (x) का गुणांक (5) है। / From (5x+5=0), we get (x=-1), and the coefficient of (x) is (5).

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Question 80/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

यदि (p(x)=kx-3) और (p(0)=-3), तो (k) के बारे में कौन सा कथन सही है ताकि (p(x)) रेखीय हो?

If (p(x)=kx-3) and (p(0)=-3), which statement about (k) is correct so that (p(x)) is linear?

Explanation opens after your attempt
Correct Answer

B. \(k\neq0\)

Explanation

Simple Explanation

(p(0)=-3) हर (k) के लिए सही है। रेखीय होने के लिए \(k\neq0\) जरूरी है। / (p(0)=-3) is true for every (k). For the polynomial to be linear, \(k\neq0\) is necessary.

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Question 81/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

यदि (p(x)=5x+8), तो (p(x)-8) की डिग्री क्या है?

If (p(x)=5x+8), what is the degree of (p(x)-8)?

Explanation opens after your attempt
Correct Answer

B. (1)

Explanation

Simple Explanation

(p(x)-8=5x) है जिसकी डिग्री (1) है। नियतांक हटने पर भी (x) पद बचता है। / (p(x)-8=5x), whose degree is (1). Even after removing the constant term, the (x)-term remains.

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Question 82/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

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

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

Explanation opens after your attempt
Correct Answer

B. नियतांक बहुपदConstant polynomial

Explanation

Simple Explanation

(p(x)-3x=-4) है। यह अशून्य नियतांक बहुपद है। / (p(x)-3x=-4). It is a non-zero constant polynomial.

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Question 83/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

किस विकल्प में रेखीय बहुपद का शून्यक \(-\frac{4}{5}\) है?

Which option has zero \(-\frac{4}{5}\) for a linear polynomial?

Explanation opens after your attempt
Correct Answer

C. (5x+4)

Explanation

Simple Explanation

(5x+4=0) से \(x=-\frac{4}{5}\) मिलता है। भिन्न शून्यक में चिन्ह ध्यान रखें। / From (5x+4=0), we get \(x=-\frac{4}{5}\). Pay attention to the sign in fractional zeros.

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Question 84/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

यदि (p(x)=12-5x), तो (p(2)) का मान क्या है?

If (p(x)=12-5x), what is the value of (p(2))?

Explanation opens after your attempt
Correct Answer

A. (2)

Explanation

Simple Explanation

(p(2)=12-5(2)=2) है। पहले गुणा करें फिर घटाएं। / (p(2)=12-5(2)=2). Multiply first and then subtract.

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Question 85/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

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

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

Explanation opens after your attempt
Correct Answer

A. (3x-11)

Explanation

Simple Explanation

(2p(x)-q(x)=2(2x-3)-(x+5)=3x-11) है। कोष्ठक खोलकर समान पद मिलाएं। / (2p(x)-q(x)=2(2x-3)-(x+5)=3x-11). Open brackets and combine like terms.

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Question 86/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

यदि (p(x)=4x-8), तो कौन सा मान इसका शून्यक है?

If (p(x)=4x-8), which value is its zero?

Explanation opens after your attempt
Correct Answer

B. (x=2)

Explanation

Simple Explanation

(4x-8=0) से (x=2) मिलता है। शून्यक वही मान है जहां बहुपद (0) हो। / From (4x-8=0), we get (x=2). A zero is the value where the polynomial becomes (0).

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Question 87/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

किस विकल्प में (3x+7) और (x-2) का अंतर (2x+9) है?

In which option is the difference of (3x+7) and (x-2) equal to (2x+9)?

Explanation opens after your attempt
Correct Answer

A. (3x+7-(x-2))

Explanation

Simple Explanation

(3x+7-(x-2)=2x+9) है। घटाते समय कोष्ठक के चिन्ह बदलें। / (3x+7-(x-2)=2x+9). Change signs inside the bracket while subtracting.

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Question 88/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

किस मान पर ((a-1)x+2a) रेखीय बहुपद होगा और (p(0)=2a) रहेगा?

For which value will ((a-1)x+2a) be linear and still have (p(0)=2a)?

Explanation opens after your attempt
Correct Answer

B. (a=0)

Explanation

Simple Explanation

रेखीय होने के लिए \(a-1\neq0\) चाहिए। (a=0) पर गुणांक (-1) है और (p(0)=0) रहता है। / For it to be linear, \(a-1\neq0\) is needed. At (a=0), the coefficient is (-1) and (p(0)=0).

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Question 89/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

यदि (p(x)=\frac{5}{6}x-10), तो (p(12)) क्या है?

If (p(x)=\frac{5}{6}x-10), what is (p(12))?

Explanation opens after your attempt
Correct Answer

A. (0)

Explanation

Simple Explanation

(p(12)=\frac{5}{6}\cdot12-10=0) है। इसलिए (12) इस बहुपद का शून्यक है। / (p(12)=\frac{5}{6}\cdot12-10=0). Therefore (12) is a zero of this polynomial.

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Question 90/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

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

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

Explanation opens after your attempt
Correct Answer

B. द्विघात बहुपदQuadratic polynomial

Explanation

Simple Explanation

(p(x)2=(x-2)2) की डिग्री (2) होती है। इसलिए यह द्विघात बहुपद है। / (p(x)2=(x-2)2) has degree (2). Therefore it is a quadratic polynomial.

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Question 91/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

किस विकल्प में रेखीय बहुपद का अग्र गुणांक शून्य नहीं है?

Which option has a linear polynomial whose leading coefficient is non-zero?

Explanation opens after your attempt
Correct Answer

B. (7x+0)

Explanation

Simple Explanation

(7x+0) में (x) का गुणांक (7) है जो शून्य नहीं है। इसलिए यह रेखीय बहुपद है। / In (7x+0), the coefficient of (x) is (7), which is non-zero. Therefore it is a linear polynomial.

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Question 92/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

यदि (p(x)=3x+b), तो (p(4)-p(2)) का मान क्या होगा?

If (p(x)=3x+b), what will be the value of (p(4)-p(2))?

Explanation opens after your attempt
Correct Answer

C. (6)

Explanation

Simple Explanation

(p(4)-p(2)=(12+b)-(6+b)=6) है। नियतांक पद अंतर में कट जाता है। / (p(4)-p(2)=(12+b)-(6+b)=6). The constant term cancels in the difference.

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Question 93/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

किस विकल्प में (p(x)=ax+b) का शून्यक (-1) होगा?

In which option will (p(x)=ax+b) have zero (-1)?

Explanation opens after your attempt
Correct Answer

C. (b=a) और \(a\neq0\)(b=a) and \(a\neq0\)

Explanation

Simple Explanation

शून्यक (-1) होने पर (-a+b=0) होगा। इसलिए (b=a) और \(a\neq0\) चाहिए। / If the zero is (-1), then (-a+b=0). So (b=a) and \(a\neq0\) are needed.

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Question 94/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

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

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

Explanation opens after your attempt
Correct Answer

C. परिभाषित नहींNot defined

Explanation

Simple Explanation

(p(x)-q(x)=0) है। शून्य बहुपद की डिग्री परिभाषित नहीं होती। / (p(x)-q(x)=0). The degree of the zero polynomial is not defined.

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Question 95/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

यदि (p(x)=9x-1), तो (p(1)+p(0)) का मान क्या है?

If (p(x)=9x-1), what is the value of (p(1)+p(0))?

Explanation opens after your attempt
Correct Answer

B. (7)

Explanation

Simple Explanation

(p(1)=8) और (p(0)=-1) हैं। इसलिए योग (7) है। / (p(1)=8) and (p(0)=-1). Therefore the sum is (7).

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Question 96/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

यदि (p(x)=5x-4), तो (p(3)-p(-1)) का मान क्या है?

If (p(x)=5x-4), what is the value of (p(3)-p(-1))?

Explanation opens after your attempt
Correct Answer

C. (20)

Explanation

Simple Explanation

(p(3)=11) और (p(-1)=-9) हैं। इसलिए अंतर (20) है। / (p(3)=11) and (p(-1)=-9). Therefore the difference is (20).

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Question 97/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

किस मान पर ((2r+5)x-10) रेखीय बहुपद नहीं रहेगा?

For which value will ((2r+5)x-10) not remain a linear polynomial?

Explanation opens after your attempt
Correct Answer

B. \(r=-\frac{5}{2}\)

Explanation

Simple Explanation

रेखीय न रहने के लिए (x) का गुणांक (0) होना चाहिए। (2r+5=0) से \(r=-\frac{5}{2}\) मिलता है। / For it not to be linear, the coefficient of (x) must be (0). From (2r+5=0), \(r=-\frac{5}{2}\).

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Question 98/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

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

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

Explanation opens after your attempt
Correct Answer

A. (14)

Explanation

Simple Explanation

शून्यक (-2) होने से (7(-2)+b=0) होगा। इसलिए (b=14) है। / Since the zero is (-2), (7(-2)+b=0). Therefore (b=14).

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Question 99/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

यदि (p(x)=2x-5) और (q(x)=4x+1), तो (3p(x)-q(x)) क्या है?

If (p(x)=2x-5) and (q(x)=4x+1), what is (3p(x)-q(x))?

Explanation opens after your attempt
Correct Answer

A. (2x-16)

Explanation

Simple Explanation

(3p(x)-q(x)=3(2x-5)-(4x+1)=2x-16) है। कोष्ठक खोलकर समान पद मिलाएं। / (3p(x)-q(x)=3(2x-5)-(4x+1)=2x-16). Open brackets and combine like terms.

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Question 100/150 Medium Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 33

किस विकल्प में रेखीय बहुपद का शून्यक \(\frac{7}{3}\) है?

Which option has zero \(\frac{7}{3}\) for a linear polynomial?

Explanation opens after your attempt
Correct Answer

C. (3x-7)

Explanation

Simple Explanation

(3x-7=0) से \(x=\frac{7}{3}\) मिलता है। भिन्न शून्यक में हर और चिन्ह ध्यान रखें। / From (3x-7=0), we get \(x=\frac{7}{3}\). In fractional zeros, note the denominator and sign.

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Question 101/150 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)

Explanation

Simple Explanation

(4(2x-3)-5x=8x-12-5x=3x-12) है। पहले कोष्ठक खोलें फिर समान पद मिलाएं। / (4(2x-3)-5x=8x-12-5x=3x-12). Open brackets first and then combine like terms.

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Question 102/150 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)

Explanation

Simple Explanation

रेखीय होने के लिए (x) का गुणांक शून्य नहीं होना चाहिए। (a=-6) पर (a+6=0) हो जाता है। / To be linear, the coefficient of (x) must be non-zero. At (a=-6), (a+6=0).

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Question 103/150 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)

Explanation

Simple Explanation

(7x+21=0) से (x=-3) मिलता है। शून्यक निकालते समय चिन्ह पर ध्यान रखें। / From (7x+21=0), we get (x=-3). Pay attention to the sign while finding the zero.

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Question 104/150 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)

Explanation

Simple Explanation

(p(4)=16) और (p(2)=6) हैं। इसलिए अंतर (16-6=10) है। / (p(4)=16) and (p(2)=6). Therefore the difference is (16-6=10).

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Question 105/150 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)

Explanation

Simple Explanation

शून्यक (5) होने से (5m-15=0) होगा। इसलिए (m=3) है। / Since the zero is (5), (5m-15=0). Therefore (m=3).

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Question 106/150 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. \(-\frac{b}{a}\)

Explanation

Simple Explanation

(ax+b=0) से \(x=-\frac{b}{a}\) मिलता है। यहां \(a\neq0\) जरूरी है। / From (ax+b=0), we get \(x=-\frac{b}{a}\). Here \(a\neq0\) is necessary.

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Question 107/150 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)

Explanation

Simple Explanation

योग (7x-7) है जिसकी सबसे बड़ी घात (1) है। इसलिए डिग्री (1) है। / The sum is (7x-7), whose highest power is (1). Therefore the degree is (1).

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Question 108/150 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

Explanation

Simple Explanation

(p(x)-q(x)=14) है। यह अशून्य नियतांक बहुपद है। / (p(x)-q(x)=14). It is a non-zero constant polynomial.

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Question 109/150 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)

Explanation

Simple Explanation

शून्यक (3) होने पर (3(k+2)-12=0) होगा। इससे (k=2) मिलता है। / If the zero is (3), then (3(k+2)-12=0). This gives (k=2).

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Question 110/150 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)

Explanation

Simple Explanation

(9x-5x-7=4x-7) है। समान (x) वाले पदों को पहले सरल करें। / (9x-5x-7=4x-7). First simplify like (x)-terms.

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Question 111/150 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)

Explanation

Simple Explanation

(p(-3)=4(-3)+3=-9) है। ऋणात्मक मान रखते समय चिन्ह ध्यान से लगाएं। / (p(-3)=4(-3)+3=-9). Handle signs carefully when substituting a negative value.

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Question 112/150 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)

Explanation

Simple Explanation

(5x-2) में (x) का गुणांक (5) धनात्मक है और नियतांक पद (-2) ऋणात्मक है। / In (5x-2), the coefficient of (x) is (5), which is positive, and the constant term (-2) is negative.

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Question 113/150 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)

Explanation

Simple Explanation

(p(-3)=-3a+18=0) से (a=6) मिलता है। दिए गए मान को सीधे बहुपद में रखें। / From (p(-3)=-3a+18=0), we get (a=6). Substitute the given value directly into the polynomial.

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Question 114/150 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)

Explanation

Simple Explanation

(x=-2) रखने पर (x+2=0) मिलता है। इसलिए इसका शून्यक (-2) है। / Substituting (x=-2) in (x+2) gives (0). Therefore its zero is (-2).

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Question 115/150 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)

Explanation

Simple Explanation

(5x-5+3x+6=8x+1) है। कोष्ठक खोलकर समान पद जोड़ें। / (5x-5+3x+6=8x+1). Open brackets and add like terms.

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Question 116/150 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)

Explanation

Simple Explanation

(14-7x=0) से (x=2) मिलता है। रेखीय बहुपद का केवल एक शून्यक होता है। / From (14-7x=0), we get (x=2). A linear polynomial has only one zero.

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Question 117/150 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)

Explanation

Simple Explanation

(p(0)) नियतांक पद के बराबर होता है। (2x+8) रेखीय है और इसका नियतांक पद (8) है। / (p(0)) equals the constant term. (2x+8) is linear and its constant term is (8).

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Question 118/150 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)

Explanation

Simple Explanation

(6t+1=31) से (6t=30) और (t=5) मिलता है। पहले समीकरण बनाएं। / From (6t+1=31), (6t=30) and (t=5). First form the equation.

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Question 119/150 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)

Explanation

Simple Explanation

(x-6=0) से (x=6) मिलता है। इसलिए इसका शून्यक धनात्मक है। / From (x-6=0), we get (x=6). Therefore its zero is positive.

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Question 120/150 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)

Explanation

Simple Explanation

शून्यक (-5) होने से (4(-5)+a=0) होगा। इसलिए (a=20) है। / Since the zero is (-5), (4(-5)+a=0). Therefore (a=20).

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Question 121/150 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)

Explanation

Simple Explanation

(3x-4=0) से \(x=\frac{4}{3}\) मिलता है। शून्यक के लिए बहुपद को (0) रखें। / From (3x-4=0), we get \(x=\frac{4}{3}\). Set the polynomial equal to (0) to find the zero.

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Question 122/150 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

Explanation

Simple Explanation

(p(x)q(x)=(x+4)(x-4)=x-2-16) है। इसकी डिग्री (2) है इसलिए यह द्विघात है। / (p(x)q(x)=(x+4)(x-4)=x-2-16). Its degree is (2), so it is quadratic.

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Question 123/150 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)

Explanation

Simple Explanation

(5(-3)+b=0) से (b=15) मिलता है। शून्यक को बहुपद में रखकर (0) करें। / From (5(-3)+b=0), we get (b=15). Substitute the zero into the polynomial and set it to (0).

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Question 124/150 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)

Explanation

Simple Explanation

(p(10)=\frac{3}{5}\cdot10+4=10) है। भिन्न गुणांक में पहले गुणा करें। / (p(10)=\frac{3}{5}\cdot10+4=10). With fractional coefficients, multiply first.

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Question 125/150 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)

Explanation

Simple Explanation

रेखीय न रहने के लिए (4a+8=0) होना चाहिए। इससे (a=-2) मिलता है। / For it not to be linear, (4a+8=0). This gives (a=-2).

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Question 126/150 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)

Explanation

Simple Explanation

(12x-20=4) से (12x=24) और (x=2) मिलता है। पहले समीकरण को सरल करें। / From (12x-20=4), (12x=24) and (x=2). First simplify the equation.

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Question 127/150 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)

Explanation

Simple Explanation

(p(2)=16+c=19) से (c=3) मिलता है। दिए गए मान को बहुपद में रखें। / From (p(2)=16+c=19), we get (c=3). Substitute the given value into the polynomial.

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Question 128/150 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)

Explanation

Simple Explanation

(-9+a=0) से (a=9) मिलता है। शून्यक को बहुपद में रखकर हल करें। / From (-9+a=0), we get (a=9). Substitute the zero into the polynomial and solve.

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Question 129/150 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)

Explanation

Simple Explanation

(p(2)=5) और (p(-2)=-11) हैं। इसलिए योग (-6) है। / (p(2)=5) and (p(-2)=-11). Therefore the sum is (-6).

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Question 130/150 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)

Explanation

Simple Explanation

(6x+12=0) से (x=-2) मिलता है और (x) का गुणांक (6) है। / From (6x+12=0), we get (x=-2), and the coefficient of (x) is (6).

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Question 131/150 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. \(k\neq0\)

Explanation

Simple Explanation

(p(0)=5) हर (k) के लिए सही है। रेखीय होने के लिए \(k\neq0\) जरूरी है। / (p(0)=5) is true for every (k). For the polynomial to be linear, \(k\neq0\) is necessary.

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Question 132/150 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)

Explanation

Simple Explanation

(p(x)-9=7x) है जिसकी डिग्री (1) है। नियतांक हटने पर भी (x) पद बचता है। / (p(x)-9=7x), whose degree is (1). Even after removing the constant term, the (x)-term remains.

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Question 133/150 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

Explanation

Simple Explanation

(p(x)-4x=11) है। यह अशून्य नियतांक बहुपद है। / (p(x)-4x=11). It is a non-zero constant polynomial.

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Question 134/150 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)

Explanation

Simple Explanation

(2x+7=0) से \(x=-\frac{7}{2}\) मिलता है। भिन्न शून्यक में चिन्ह ध्यान रखें। / From (2x+7=0), we get \(x=-\frac{7}{2}\). Pay attention to the sign in fractional zeros.

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Question 135/150 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)

Explanation

Simple Explanation

(p(3)=16-5(3)=1) है। पहले गुणा करें फिर घटाएं। / (p(3)=16-5(3)=1). Multiply first and then subtract.

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Question 136/150 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)

Explanation

Simple Explanation

(2p(x)+q(x)=2(x-6)+(3x+2)=5x-10) है। पहले गुणा फिर समान पद जोड़ें। / (2p(x)+q(x)=2(x-6)+(3x+2)=5x-10). First multiply and then add like terms.

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Question 137/150 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)

Explanation

Simple Explanation

(5x-15=0) से (x=3) मिलता है। शून्यक वही मान है जहां बहुपद (0) हो। / From (5x-15=0), we get (x=3). A zero is the value where the polynomial becomes (0).

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Question 138/150 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))

Explanation

Simple Explanation

(4x+9-(x-3)=3x+12) है। घटाते समय कोष्ठक के चिन्ह बदलें। / (4x+9-(x-3)=3x+12). Change signs inside the bracket while subtracting.

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Question 139/150 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)

Explanation

Simple Explanation

रेखीय होने के लिए \(a+3\neq0\) चाहिए। (a=1) पर गुणांक (4) है और (p(0)=2) रहता है। / For it to be linear, \(a+3\neq0\) is needed. At (a=1), the coefficient is (4) and (p(0)=2).

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Question 140/150 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)

Explanation

Simple Explanation

(p(8)=\frac{7}{8}\cdot8-7=0) है। इसलिए (8) इस बहुपद का शून्यक है। / (p(8)=\frac{7}{8}\cdot8-7=0). Therefore (8) is a zero of this polynomial.

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Question 141/150 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

Explanation

Simple Explanation

(p(x)2=(x+5)2) की डिग्री (2) होती है। इसलिए यह द्विघात बहुपद है। / (p(x)2=(x+5)2) has degree (2). Therefore it is a quadratic polynomial.

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Question 142/150 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)

Explanation

Simple Explanation

(p(5)-p(2)=(20+b)-(8+b)=12) है। नियतांक पद अंतर में कट जाता है। / (p(5)-p(2)=(20+b)-(8+b)=12). The constant term cancels in the difference.

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Question 143/150 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)

Explanation

Simple Explanation

(p(4)=19) और (p(1)=1) हैं। इसलिए अंतर (18) है। / (p(4)=19) and (p(1)=1). Therefore the difference is (18).

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Question 144/150 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)

Explanation

Simple Explanation

रेखीय न रहने के लिए (x) का गुणांक (0) होना चाहिए। (3r-12=0) से (r=4) मिलता है। / For it not to be linear, the coefficient of (x) must be (0). From (3r-12=0), (r=4).

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Question 145/150 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)

Explanation

Simple Explanation

शून्यक (-1) होने से (9(-1)+b=0) होगा। इसलिए (b=9) है। / Since the zero is (-1), (9(-1)+b=0). Therefore (b=9).

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Question 146/150 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)

Explanation

Simple Explanation

(2q(x)-p(x)=2(5x+4)-(3x-2)=7x+10) है। कोष्ठक खोलकर समान पद मिलाएं। / (2q(x)-p(x)=2(5x+4)-(3x-2)=7x+10). Open brackets and combine like terms.

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Question 147/150 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?

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Correct Answer

C. (5x+2)

Explanation

Simple Explanation

(5x+2=0) से \(x=-\frac{2}{5}\) मिलता है। भिन्न शून्यक में चिन्ह और हर ध्यान रखें। / From (5x+2=0), we get \(x=-\frac{2}{5}\). In fractional zeros, note the sign and denominator.

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Question 148/150 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))?

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Correct Answer

C. (13)

Explanation

Simple Explanation

(p(-3)=7-2(-3)=13) है। ऋणात्मक मान रखते समय चिन्ह सावधानी से लगाएं। / (p(-3)=7-2(-3)=13). Handle signs carefully when substituting a negative value.

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Question 149/150 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?

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Correct Answer

A. (2x+3) और (2x+3)(2x+3) and (2x+3)

Explanation

Simple Explanation

समान बहुपदों का अंतर (0) होता है। शून्य बहुपद की डिग्री परिभाषित नहीं होती। / The difference of identical polynomials is (0). The degree of the zero polynomial is not defined.

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Question 150/150 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)

Explanation

Simple Explanation

(p(10)=\frac{4}{5}\cdot10-8=0) है। इसलिए (10) इस बहुपद का शून्यक है। / (p(10)=\frac{4}{5}\cdot10-8=0). Therefore (10) is a zero of this polynomial.

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