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

Mathematics Introduction to Polynomials Linear polynomials Expert Class 9 Topic Quiz

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Question 1/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

सरल करने के बाद (3(2x-5)-2(5x+1)) कौन सा रेखीय बहुपद बनेगा?

After simplifying (3(2x-5)-2(5x+1)), which linear polynomial is obtained?

Explanation opens after your attempt
Correct Answer

D. (-4x-17)

Explanation

Simple Explanation

(6x-15-10x-2=-4x-17) है। कोष्ठक खोलते समय ऋणात्मक चिन्ह सावधानी से लगाएं। / (6x-15-10x-2=-4x-17). Apply negative signs carefully while opening brackets.

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Question 2/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस मान पर (\(m^2-1\)x+7) रेखीय बहुपद नहीं रहेगा?

For which value will (\(m^2-1\)x+7) not remain a linear polynomial?

Explanation opens after your attempt
Correct Answer

B. (m=1) या (m=-1)(m=1) or (m=-1)

Explanation

Simple Explanation

रेखीय न रहने के लिए (x) का गुणांक (0) चाहिए। \(m^2-1=0\) से \(m=\pm1\) मिलता है। / For it not to be linear, the coefficient of (x) must be (0). From \(m^2-1=0\), \(m=\pm1\).

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Question 3/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=(k-5)x+12) का शून्यक (-3) है, तो (k) क्या है?

If the zero of (p(x)=(k-5)x+12) is (-3), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

(-3(k-5)+12=0) से (k=9) मिलता है। शून्यक को बहुपद में रखकर समीकरण बनाएं। / From (-3(k-5)+12=0), we get (k=9). Substitute the zero into the polynomial to form the equation.

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Question 4/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=5x-4) और (q(x)=2x+7), तो (3p(x)-4q(x)) क्या है?

If (p(x)=5x-4) and (q(x)=2x+7), what is (3p(x)-4q(x))?

Explanation opens after your attempt
Correct Answer

A. (7x-40)

Explanation

Simple Explanation

(3(5x-4)-4(2x+7)=7x-40) है। पहले गुणा करें फिर समान पद मिलाएं। / (3(5x-4)-4(2x+7)=7x-40). Multiply first and then combine like terms.

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Question 5/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस मान पर ((2a-3)x-9) का शून्यक (3) होगा?

For which value will the zero of ((2a-3)x-9) be (3)?

Explanation opens after your attempt
Correct Answer

B. (a=3)

Explanation

Simple Explanation

शून्यक (3) होने पर (3(2a-3)-9=0) होगा। इससे (a=3) मिलता है। / If the zero is (3), then (3(2a-3)-9=0). This gives (a=3).

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Question 6/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=ax+b) का शून्यक (-4) है और (a=3), तो (b) क्या है?

If the zero of (p(x)=ax+b) is (-4) and (a=3), what is (b)?

Explanation opens after your attempt
Correct Answer

A. (12)

Explanation

Simple Explanation

(p(-4)=0) से (-4a+b=0) होगा। (a=3) रखने पर (b=12) मिलता है। / From (p(-4)=0), (-4a+b=0). Substituting (a=3) gives (b=12).

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Question 7/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=7x+c) और (p(6)=p(2)+28), तो (c) के बारे में क्या सही है?

If (p(x)=7x+c) and (p(6)=p(2)+28), what is correct about (c)?

Explanation opens after your attempt
Correct Answer

B. हर (c) सही हैEvery (c) is valid

Explanation

Simple Explanation

(p(6)-p(2)=(42+c)-(14+c)=28) है। इसलिए शर्त हर (c) पर सही है। / (p(6)-p(2)=(42+c)-(14+c)=28). So the condition is true for every (c).

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Question 8/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस विकल्प में रेखीय बहुपद का शून्यक \(-\frac{4}{9}\) है?

Which option has zero \(-\frac{4}{9}\) for a linear polynomial?

Explanation opens after your attempt
Correct Answer

C. (9x+4)

Explanation

Simple Explanation

(9x+4=0) से \(x=-\frac{4}{9}\) मिलता है। भिन्न शून्यक में चिन्ह और हर ध्यान रखें। / From (9x+4=0), we get \(x=-\frac{4}{9}\). Pay attention to the sign and denominator in fractional zeros.

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Question 9/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=\frac{5}{6}x-10), तो किस मान पर (p(x)=0) होगा?

If (p(x)=\frac{5}{6}x-10), for which value will (p(x)=0)?

Explanation opens after your attempt
Correct Answer

B. (x=12)

Explanation

Simple Explanation

\(\frac{5}{6}x-10=0\) से \(\frac{5}{6}x=10\) और (x=12) मिलता है। भिन्न गुणांक में उलटा गुणा करें। / From \(\frac{5}{6}x-10=0\), \(\frac{5}{6}x=10\) and (x=12). With a fractional coefficient, multiply by the reciprocal.

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Question 10/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=x-7) और (q(x)=x+4), तो (p(x)q(x)) की डिग्री क्या है?

If (p(x)=x-7) and (q(x)=x+4), what is the degree of (p(x)q(x))?

Explanation opens after your attempt
Correct Answer

C. (2)

Explanation

Simple Explanation

((x-7)(x+4)) में उच्चतम पद \(x^2\) है। इसलिए गुणनफल की डिग्री (2) है। / In ((x-7)(x+4)), the highest term is \(x^2\). Therefore the product has degree (2).

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Question 11/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=6x-11), तो (p(x+2)) क्या है?

If (p(x)=6x-11), what is (p(x+2))?

Explanation opens after your attempt
Correct Answer

A. (6x+1)

Explanation

Simple Explanation

(p(x+2)=6(x+2)-11=6x+1) है। (x) की जगह पूरा (x+2) रखें। / (p(x+2)=6(x+2)-11=6x+1). Substitute the whole (x+2) in place of (x).

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Question 12/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=15-5x), तो (p(2x)) कौन सा है?

If (p(x)=15-5x), which is (p(2x))?

Explanation opens after your attempt
Correct Answer

B. (15-10x)

Explanation

Simple Explanation

(p(2x)=15-5(2x)=15-10x) है। प्रतिस्थापन करते समय पूरे (2x) को रखें। / (p(2x)=15-5(2x)=15-10x). While substituting, use the whole (2x).

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Question 13/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस मान पर (\(t^2-5t+6\)x+(t-2)) रेखीय बहुपद नहीं रहेगा?

For which value will (\(t^2-5t+6\)x+(t-2)) not remain a linear polynomial?

Explanation opens after your attempt
Correct Answer

A. (t=2) या (t=3)(t=2) or (t=3)

Explanation

Simple Explanation

रेखीय होने के लिए \(t^2-5t+6\neq0\) चाहिए। \(t^2-5t+6=0\) से (t=2) या (t=3) मिलता है। / For it to be linear, \(t^2-5t+6\neq0\) is needed. From \(t^2-5t+6=0\), (t=2) or (t=3).

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Question 14/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=kx-8) और (p(5)=p(-1)), तो (p(x)) रेखीय कब रहेगा?

If (p(x)=kx-8) and (p(5)=p(-1)), when will (p(x)) remain linear?

Explanation opens after your attempt
Correct Answer

C. कभी नहींNever

Explanation

Simple Explanation

(p(5)=p(-1)) से (5k-8=-k-8) और (k=0) मिलता है। (k=0) पर बहुपद रेखीय नहीं रहता। / From (p(5)=p(-1)), (5k-8=-k-8), so (k=0). At (k=0), the polynomial is not linear.

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Question 15/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=ax+b) का शून्यक (0) है और (p(x)) रेखीय है, तो कौन सी शर्त जरूरी है?

If the zero of (p(x)=ax+b) is (0) and (p(x)) is linear, which condition is necessary?

Explanation opens after your attempt
Correct Answer

B. (b=0) और \(a\neq0\)(b=0) and \(a\neq0\)

Explanation

Simple Explanation

शून्यक (0) होने पर (p(0)=b=0) होना चाहिए। रेखीय रहने के लिए \(a\neq0\) भी जरूरी है। / If the zero is (0), then (p(0)=b=0). To remain linear, \(a\neq0\) is also necessary.

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Question 16/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=5x+3) और (q(x)=11x-2), तो (q(x)-2p(x)) की डिग्री क्या है?

If (p(x)=5x+3) and (q(x)=11x-2), what is the degree of (q(x)-2p(x))?

Explanation opens after your attempt
Correct Answer

B. (1)

Explanation

Simple Explanation

(q(x)-2p(x)=11x-2-2(5x+3)=x-8) है। इसकी डिग्री (1) है। / (q(x)-2p(x)=11x-2-2(5x+3)=x-8). Its degree is (1).

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Question 17/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस विकल्प में रेखीय बहुपद का शून्यक \(\frac{19}{7}\) है?

Which option has zero \(\frac{19}{7}\) for a linear polynomial?

Explanation opens after your attempt
Correct Answer

A. (7x-19)

Explanation

Simple Explanation

(7x-19=0) से \(x=\frac{19}{7}\) मिलता है। शून्यक के लिए बहुपद को (0) के बराबर रखें। / From (7x-19=0), we get \(x=\frac{19}{7}\). Set the polynomial equal to (0) to find the zero.

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Question 18/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=8x-13), तो (p(x+1)-p(x)) क्या है?

If (p(x)=8x-13), what is (p(x+1)-p(x))?

Explanation opens after your attempt
Correct Answer

B. (8)

Explanation

Simple Explanation

(p(x+1)=8x-5) और (p(x)=8x-13) है। अंतर (8) मिलता है। / (p(x+1)=8x-5) and (p(x)=8x-13). The difference is (8).

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Question 19/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=\lambda x+15) और इसका शून्यक (-5) से बड़ा है, तो \(\lambda>0\) होने पर कौन सी शर्त सही है?

If (p(x)=\lambda x+15) and its zero is greater than (-5), which condition is correct when \(\lambda>0\)?

Explanation opens after your attempt
Correct Answer

C. \(\lambda>3\)

Explanation

Simple Explanation

शून्यक \(-\frac{15}{\lambda}\) है। \(-\frac{15}{\lambda}>-5\) और \(\lambda>0\) से \(\lambda>3\) मिलता है। / The zero is \(-\frac{15}{\lambda}\). From \(-\frac{15}{\lambda}>-5\) and \(\lambda>0\), we get \(\lambda>3\).

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Question 20/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

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

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

Explanation opens after your attempt
Correct Answer

A. (2x-2r)

Explanation

Simple Explanation

जोड़ने पर (x+3r+x-5r=2x-2r) मिलता है। पैरामीटर वाले पदों को भी मिलाएं। / On adding, (x+3r+x-5r=2x-2r). Combine the parameter terms too.

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Question 21/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=x+3r) और (q(x)=x-5r), तो (p(x)-q(x)) किस प्रकार का बहुपद है?

If (p(x)=x+3r) and (q(x)=x-5r), 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)=8r) है। (x) के संदर्भ में यह नियतांक बहुपद है। / (p(x)-q(x)=8r). With respect to (x), it is a constant polynomial.

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Question 22/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=6x-17), तो (p(p(3))) का सही मान क्या है?

If (p(x)=6x-17), what is the correct value of (p(p(3)))?

Explanation opens after your attempt
Correct Answer

B. (-11)

Explanation

Simple Explanation

(p(3)=1) और (p(1)=6-17=-11) है। अंदर वाले मान को पहले निकालें। / (p(3)=1) and (p(1)=6-17=-11). Find the inner value first.

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Question 23/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=4x+3), तो (p(p(0))) का मान क्या है?

If (p(x)=4x+3), what is the value of (p(p(0)))?

Explanation opens after your attempt
Correct Answer

C. (15)

Explanation

Simple Explanation

(p(0)=3) और (p(3)=15) है। रचना में अंदर वाला मान पहले निकालें। / (p(0)=3) and (p(3)=15). In composition, find the inner value first.

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Question 24/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस मान पर ((n+4)x+2n-1) का शून्यक (1) होगा?

For which value will the zero of ((n+4)x+2n-1) be (1)?

Explanation opens after your attempt
Correct Answer

A. (n=-1)

Explanation

Simple Explanation

शून्यक (1) होने पर (n+4+2n-1=0) होगा। इससे (3n+3=0) और (n=-1) मिलता है। / If the zero is (1), then (n+4+2n-1=0). Thus (3n+3=0) and (n=-1).

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Question 25/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=\frac{x}{6}+a) और (p(18)=14), तो (a) का मान क्या है?

If (p(x)=\frac{x}{6}+a) and (p(18)=14), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

C. (11)

Explanation

Simple Explanation

(p(18)=3+a=14) से (a=11) मिलता है। भिन्न रूप में पहले (x) का मान रखें। / From (p(18)=3+a=14), we get (a=11). In fractional form, substitute the value of (x) first.

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Question 26/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=5x+a) और (q(x)=2x-9), तो (p(x)+q(x)) का शून्यक (2) होने पर (a) क्या है?

If (p(x)=5x+a) and (q(x)=2x-9), what is (a) if the zero of (p(x)+q(x)) is (2)?

Explanation opens after your attempt
Correct Answer

A. (-5)

Explanation

Simple Explanation

(p(x)+q(x)=7x+a-9) है। (x=2) रखने पर (14+a-9=0) से (a=-5) मिलता है। / (p(x)+q(x)=7x+a-9). Substituting (x=2) gives (14+a-9=0), so (a=-5).

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Question 27/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस मान पर (p(x)=(c-3)x+4c) का शून्यक (-2) होगा?

For which value will the zero of (p(x)=(c-3)x+4c) be (-2)?

Explanation opens after your attempt
Correct Answer

A. (c=-3)

Explanation

Simple Explanation

(-2(c-3)+4c=0) से (2c+6=0) मिलता है। इसलिए (c=-3) है। / From (-2(c-3)+4c=0), we get (2c+6=0). Therefore (c=-3).

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Question 28/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=(c-1)x+2c) का शून्यक (-2) है, तो कौन सा निष्कर्ष सही है?

If the zero of (p(x)=(c-1)x+2c) is (-2), which conclusion is correct?

Explanation opens after your attempt
Correct Answer

C. कोई (c) नहींNo (c)

Explanation

Simple Explanation

(-2(c-1)+2c=0) से (2=0) जैसा असंभव परिणाम मिलता है। इसलिए कोई (c) नहीं है। / From (-2(c-1)+2c=0), we get the impossible result (2=0). Therefore no (c) exists.

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Question 29/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=rx-6) और (p(4)=18), तो (p(-2)) का मान क्या है?

If (p(x)=rx-6) and (p(4)=18), what is the value of (p(-2))?

Explanation opens after your attempt
Correct Answer

B. (-18)

Explanation

Simple Explanation

(4r-6=18) से (r=6) मिलता है। इसलिए (p(-2)=6(-2)-6=-18) है। / From (4r-6=18), we get (r=6). Therefore (p(-2)=6(-2)-6=-18).

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Question 30/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=ax+10) और (p(2)=p(5)-15), तो (a) क्या है?

If (p(x)=ax+10) and (p(2)=p(5)-15), what is (a)?

Explanation opens after your attempt
Correct Answer

B. (5)

Explanation

Simple Explanation

(2a+10=(5a+10)-15) से (2a=5a-15) मिलता है। इसलिए (a=5) है। / From (2a+10=(5a+10)-15), we get (2a=5a-15). Therefore (a=5).

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Question 31/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=5x-18), तो (p(a)=a) होने पर (a) क्या है?

If (p(x)=5x-18), what is (a) when (p(a)=a)?

Explanation opens after your attempt
Correct Answer

B. \(\frac{9}{2}\)

Explanation

Simple Explanation

(p(a)=5a-18) है। (5a-18=a) से \(a=\frac{9}{2}\) मिलता है। / (p(a)=5a-18). From (5a-18=a), we get \(a=\frac{9}{2}\).

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Question 32/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=mx+n), (p(0)=-4) और (p(3)=11), तो (m+n) क्या है?

If (p(x)=mx+n), (p(0)=-4) and (p(3)=11), what is (m+n)?

Explanation opens after your attempt
Correct Answer

A. (1)

Explanation

Simple Explanation

(p(0)=n=-4) और (3m-4=11) से (m=5) मिलता है। इसलिए (m+n=1) है। / (p(0)=n=-4) and (3m-4=11) gives (m=5). Therefore (m+n=1).

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Question 33/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=mx+n), (p(-2)=1) और (p(2)=17), तो (m) क्या है?

If (p(x)=mx+n), (p(-2)=1) and (p(2)=17), what is (m)?

Explanation opens after your attempt
Correct Answer

B. (4)

Explanation

Simple Explanation

दोनों मान घटाने पर (p(2)-p(-2)=4m=16) मिलता है। इसलिए (m=4) है। / Subtracting the two values gives (p(2)-p(-2)=4m=16). Therefore (m=4).

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Question 34/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

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

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

Explanation opens after your attempt
Correct Answer

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

Explanation

Simple Explanation

(x+5) में (x=-5) रखने पर (0) मिलता है। यह डिग्री (1) वाला रेखीय बहुपद है। / Substituting (x=-5) in (x+5) gives (0). It is a linear polynomial of degree (1).

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Question 35/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=6x+11), तो (p(x)+p(-x)) क्या है?

If (p(x)=6x+11), what is (p(x)+p(-x))?

Explanation opens after your attempt
Correct Answer

B. (22)

Explanation

Simple Explanation

(p(-x)=-6x+11) है। जोड़ने पर (6x+11-6x+11=22) मिलता है। / (p(-x)=-6x+11). Adding gives (6x+11-6x+11=22).

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Question 36/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=6x+11), तो (p(x)-p(-x)) क्या है?

If (p(x)=6x+11), what is (p(x)-p(-x))?

Explanation opens after your attempt
Correct Answer

A. (12x)

Explanation

Simple Explanation

(p(-x)=-6x+11) है। घटाने पर (6x+11-(-6x+11)=12x) मिलता है। / (p(-x)=-6x+11). Subtracting gives (6x+11-(-6x+11)=12x).

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Question 37/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस मान पर ((s+7)x+4s) का शून्यक (0) होगा?

For which value will the zero of ((s+7)x+4s) be (0)?

Explanation opens after your attempt
Correct Answer

A. (s=0)

Explanation

Simple Explanation

शून्यक (0) होने के लिए नियतांक पद (4s=0) होना चाहिए। (s=0) पर (x) का गुणांक (7) है इसलिए बहुपद रेखीय है। / For the zero to be (0), the constant term (4s=0). At (s=0), the coefficient of (x) is (7), so the polynomial is linear.

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Question 38/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=5x+a) और (q(x)=7x-a), तो (p(x)+q(x)) का शून्यक (1) होने पर (a) क्या है?

If (p(x)=5x+a) and (q(x)=7x-a), what is (a) if the zero of (p(x)+q(x)) is (1)?

Explanation opens after your attempt
Correct Answer

A. कोई मान नहींNo value

Explanation

Simple Explanation

(p(x)+q(x)=12x) है जिसका शून्यक (0) है। इसलिए शून्यक (1) किसी (a) पर नहीं हो सकता। / (p(x)+q(x)=12x), whose zero is (0). Therefore the zero cannot be (1) for any (a).

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Question 39/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

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

If (p(x)=5x+a) and (q(x)=7x-a), what is (q(x)-p(x))?

Explanation opens after your attempt
Correct Answer

B. (2x-2a)

Explanation

Simple Explanation

(7x-a-(5x+a)=2x-2a) है। घटाते समय कोष्ठक के चिन्ह बदलें। / (7x-a-(5x+a)=2x-2a). Change the signs inside the bracket while subtracting.

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Question 40/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस विकल्प में ((4x+1)) और ((x-6)) का गुणनफल रेखीय नहीं है?

Which option correctly says that the product of ((4x+1)) and ((x-6)) is not linear?

Explanation opens after your attempt
Correct Answer

D. क्योंकि डिग्री (2) हैBecause degree is (2)

Explanation

Simple Explanation

((4x+1)(x-6)) में उच्चतम पद \(4x^2\) है। इसलिए गुणनफल की डिग्री (2) है और यह रेखीय नहीं है। / In ((4x+1)(x-6)), the highest term is \(4x^2\). So the product has degree (2) and is not linear.

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Question 41/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=ax+5) और (p(p(0))=35), तो (a) क्या है?

If (p(x)=ax+5) and (p(p(0))=35), what is (a)?

Explanation opens after your attempt
Correct Answer

B. (6)

Explanation

Simple Explanation

(p(0)=5) और (p(5)=5a+5) है। (5a+5=35) से (a=6) मिलता है। / (p(0)=5) and (p(5)=5a+5). From (5a+5=35), we get (a=6).

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Question 42/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=x+a) और (p(p(3))=13), तो (a) का मान क्या है?

If (p(x)=x+a) and (p(p(3))=13), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

B. (5)

Explanation

Simple Explanation

(p(3)=3+a) और (p(3+a)=3+2a) है। (3+2a=13) से (a=5) मिलता है। / (p(3)=3+a) and (p(3+a)=3+2a). From (3+2a=13), we get (a=5).

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Question 43/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=mx+n) और (p(-3)=p(1)), तो (p(x)) रेखीय कब हो सकता है?

If (p(x)=mx+n) and (p(-3)=p(1)), when can (p(x)) be linear?

Explanation opens after your attempt
Correct Answer

C. कभी नहींNever

Explanation

Simple Explanation

(p(-3)=p(1)) से (-3m+n=m+n) और (m=0) मिलता है। (m=0) पर बहुपद रेखीय नहीं रहता। / From (p(-3)=p(1)), (-3m+n=m+n), so (m=0). At (m=0), the polynomial is not linear.

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Question 44/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस विकल्प में (p(x)=ax+b) का शून्यक (8) होगा?

In which option will (p(x)=ax+b) have zero (8)?

Explanation opens after your attempt
Correct Answer

B. (b=-8a) और \(a\neq0\)(b=-8a) and \(a\neq0\)

Explanation

Simple Explanation

शून्यक (8) होने पर (8a+b=0) होगा। इसलिए (b=-8a) और \(a\neq0\) चाहिए। / If the zero is (8), then (8a+b=0). So (b=-8a) and \(a\neq0\) are needed.

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Question 45/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=9x-4), तो (p(x+2)-p(x-1)) क्या है?

If (p(x)=9x-4), what is (p(x+2)-p(x-1))?

Explanation opens after your attempt
Correct Answer

C. (27)

Explanation

Simple Explanation

(p(x+2)=9x+14) और (p(x-1)=9x-13) है। अंतर (27) है। / (p(x+2)=9x+14) and (p(x-1)=9x-13). The difference is (27).

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Question 46/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=7x-20), तो (p(p(3))) का सही मान क्या है?

If (p(x)=7x-20), what is the correct value of (p(p(3)))?

Explanation opens after your attempt
Correct Answer

B. (-13)

Explanation

Simple Explanation

(p(3)=1) और (p(1)=7-20=-13) है। अंदर वाले मान को पहले निकालें। / (p(3)=1) and (p(1)=7-20=-13). Find the inner value first.

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Question 47/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=10x+a) और (p(p(0))=110), तो (a) का मान क्या है?

If (p(x)=10x+a) and (p(p(0))=110), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

A. (10)

Explanation

Simple Explanation

(p(0)=a) और (p(a)=10a+a=11a) है। (11a=110) से (a=10) मिलता है। / (p(0)=a) and (p(a)=10a+a=11a). From (11a=110), we get (a=10).

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Question 48/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=mx+n), (p(-1)=3) और (p(4)=23), तो (m+n) क्या है?

If (p(x)=mx+n), (p(-1)=3) and (p(4)=23), what is (m+n)?

Explanation opens after your attempt
Correct Answer

C. (11)

Explanation

Simple Explanation

दोनों मान घटाने पर (5m=20) से (m=4) मिलता है। (-m+n=3) से (n=7), इसलिए (m+n=11) है। / Subtracting the two values gives (5m=20), so (m=4). From (-m+n=3), (n=7), so (m+n=11).

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Question 49/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

यदि (p(x)=11x-6), तो (p(x+1)+p(x-2)) क्या है?

If (p(x)=11x-6), what is (p(x+1)+p(x-2))?

Explanation opens after your attempt
Correct Answer

B. (22x-17)

Explanation

Simple Explanation

(p(x+1)=11x+5) और (p(x-2)=11x-28) है। जोड़ने पर (22x-23) नहीं, बल्कि (22x-23) मिलता है। / (p(x+1)=11x+5) and (p(x-2)=11x-28). Adding gives (22x-23), not (22x-17).

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Question 50/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 32

किस मान पर (\(r^2-5r+6\)x+4) रेखीय बहुपद नहीं रहेगा?

For which value will (\(r^2-5r+6\)x+4) not remain a linear polynomial?

Explanation opens after your attempt
Correct Answer

A. (r=2) या (r=3)(r=2) or (r=3)

Explanation

Simple Explanation

रेखीय न रहने के लिए (x) का गुणांक (0) होना चाहिए। \(r^2-5r+6=0\) से (r=2) या (r=3) मिलता है। / For it not to be linear, the coefficient of (x) must be (0). From \(r^2-5r+6=0\), (r=2) or (r=3).

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

सरल करने के बाद (4(3x-2)-5(2x+7)) कौन सा रेखीय बहुपद बनेगा?

After simplifying (4(3x-2)-5(2x+7)), which linear polynomial is obtained?

Explanation opens after your attempt
Correct Answer

B. (2x-43)

Explanation

Simple Explanation

(12x-8-10x-35=2x-43) है। कोष्ठक खोलते समय सभी पदों पर गुणा करें। / (12x-8-10x-35=2x-43). Multiply every term while opening brackets.

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

किस मान पर (\(u^2-16\)x+5) रेखीय बहुपद नहीं रहेगा?

For which value will (\(u^2-16\)x+5) not remain a linear polynomial?

Explanation opens after your attempt
Correct Answer

A. (u=4) या (u=-4)(u=4) or (u=-4)

Explanation

Simple Explanation

रेखीय न रहने के लिए (x) का गुणांक (0) होना चाहिए। \(u^2-16=0\) से \(u=\pm4\) मिलता है। / For it not to be linear, the coefficient of (x) must be (0). From \(u^2-16=0\), \(u=\pm4\).

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

यदि (p(x)=(k+2)x-20) का शून्यक (4) है, तो (k) क्या है?

If the zero of (p(x)=(k+2)x-20) is (4), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (3)

Explanation

Simple Explanation

(4(k+2)-20=0) से (k=3) मिलता है। शून्यक को बहुपद में रखकर (0) करें। / From (4(k+2)-20=0), we get (k=3). Substitute the zero into the polynomial and set it to (0).

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

यदि (p(x)=7x-3) और (q(x)=4x+5), तो (2p(x)-3q(x)) क्या है?

If (p(x)=7x-3) and (q(x)=4x+5), what is (2p(x)-3q(x))?

Explanation opens after your attempt
Correct Answer

A. (2x-21)

Explanation

Simple Explanation

(2(7x-3)-3(4x+5)=2x-21) है। गुणा करने के बाद समान पद मिलाएं। / (2(7x-3)-3(4x+5)=2x-21). Multiply first and then combine like terms.

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

किस मान पर ((3a-4)x+16) का शून्यक (-2) होगा?

For which value will the zero of ((3a-4)x+16) be (-2)?

Explanation opens after your attempt
Correct Answer

A. (a=4)

Explanation

Simple Explanation

शून्यक (-2) होने पर (-2(3a-4)+16=0) होगा। इससे (a=4) मिलता है। / If the zero is (-2), then (-2(3a-4)+16=0). This gives (a=4).

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

यदि (p(x)=ax+b) का शून्यक (6) है और (a=-3), तो (b) क्या है?

If the zero of (p(x)=ax+b) is (6) and (a=-3), what is (b)?

Explanation opens after your attempt
Correct Answer

D. (18)

Explanation

Simple Explanation

(p(6)=0) से (6a+b=0) होगा। (a=-3) रखने पर (b=18) मिलता है। / From (p(6)=0), (6a+b=0). Substituting (a=-3) gives (b=18).

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

यदि (p(x)=9x+c) और (p(5)=p(1)+36), तो (c) के बारे में क्या सही है?

If (p(x)=9x+c) and (p(5)=p(1)+36), what is correct about (c)?

Explanation opens after your attempt
Correct Answer

C. हर (c) सही हैEvery (c) is valid

Explanation

Simple Explanation

(p(5)-p(1)=(45+c)-(9+c)=36) है। इसलिए शर्त हर (c) के लिए सही है। / (p(5)-p(1)=(45+c)-(9+c)=36). So the condition is true for every (c).

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

किस विकल्प में रेखीय बहुपद का शून्यक \(-\frac{8}{11}\) है?

Which option has zero \(-\frac{8}{11}\) for a linear polynomial?

Explanation opens after your attempt
Correct Answer

D. (11x+8)

Explanation

Simple Explanation

(11x+8=0) से \(x=-\frac{8}{11}\) मिलता है। भिन्न शून्यक में चिन्ह और हर ध्यान रखें। / From (11x+8=0), we get \(x=-\frac{8}{11}\). Pay attention to the sign and denominator in fractional zeros.

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

यदि (p(x)=\frac{7}{10}x-14), तो किस मान पर (p(x)=0) होगा?

If (p(x)=\frac{7}{10}x-14), for which value will (p(x)=0)?

Explanation opens after your attempt
Correct Answer

C. (x=20)

Explanation

Simple Explanation

\(\frac{7}{10}x-14=0\) से \(\frac{7}{10}x=14\) और (x=20) मिलता है। भिन्न गुणांक में उलटा गुणा करें। / From \(\frac{7}{10}x-14=0\), \(\frac{7}{10}x=14\) and (x=20). With a fractional coefficient, multiply by the reciprocal.

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

यदि (p(x)=x+9) और (q(x)=x-5), तो (p(x)q(x)) की डिग्री क्या है?

If (p(x)=x+9) and (q(x)=x-5), what is the degree of (p(x)q(x))?

Explanation opens after your attempt
Correct Answer

B. (2)

Explanation

Simple Explanation

((x+9)(x-5)) में उच्चतम पद \(x^2\) है। इसलिए गुणनफल की डिग्री (2) है। / In ((x+9)(x-5)), the highest term is \(x^2\). Therefore the product has degree (2).

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

यदि (p(x)=8x-15), तो (p(x-2)) क्या है?

If (p(x)=8x-15), what is (p(x-2))?

Explanation opens after your attempt
Correct Answer

B. (8x-31)

Explanation

Simple Explanation

(p(x-2)=8(x-2)-15=8x-31) है। (x) की जगह पूरा (x-2) रखें। / (p(x-2)=8(x-2)-15=8x-31). Substitute the whole (x-2) in place of (x).

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

यदि (p(x)=17-6x), तो (p(3x)) कौन सा है?

If (p(x)=17-6x), which is (p(3x))?

Explanation opens after your attempt
Correct Answer

A. (17-18x)

Explanation

Simple Explanation

(p(3x)=17-6(3x)=17-18x) है। प्रतिस्थापन करते समय पूरे (3x) को रखें। / (p(3x)=17-6(3x)=17-18x). While substituting, use the whole (3x).

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

किस मान पर (\(t^2-7t+12\)x+(t-4)) रेखीय बहुपद नहीं रहेगा?

For which value will (\(t^2-7t+12\)x+(t-4)) not remain a linear polynomial?

Explanation opens after your attempt
Correct Answer

A. (t=3) या (t=4)(t=3) or (t=4)

Explanation

Simple Explanation

रेखीय होने के लिए \(t^2-7t+12\neq0\) चाहिए। \(t^2-7t+12=0\) से (t=3) या (t=4) मिलता है। / For it to be linear, \(t^2-7t+12\neq0\) is needed. From \(t^2-7t+12=0\), (t=3) or (t=4).

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

यदि (p(x)=kx+11) और (p(6)=p(-2)), तो (p(x)) रेखीय कब रहेगा?

If (p(x)=kx+11) and (p(6)=p(-2)), when will (p(x)) remain linear?

Explanation opens after your attempt
Correct Answer

C. कभी नहींNever

Explanation

Simple Explanation

(p(6)=p(-2)) से (6k+11=-2k+11) और (k=0) मिलता है। (k=0) पर बहुपद रेखीय नहीं रहता। / From (p(6)=p(-2)), (6k+11=-2k+11), so (k=0). At (k=0), the polynomial is not linear.

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

यदि (p(x)=6x+4) और (q(x)=13x-1), तो (q(x)-2p(x)) की डिग्री क्या है?

If (p(x)=6x+4) and (q(x)=13x-1), what is the degree of (q(x)-2p(x))?

Explanation opens after your attempt
Correct Answer

B. (1)

Explanation

Simple Explanation

(q(x)-2p(x)=13x-1-2(6x+4)=x-9) है। इसकी डिग्री (1) है। / (q(x)-2p(x)=13x-1-2(6x+4)=x-9). Its degree is (1).

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

किस विकल्प में रेखीय बहुपद का शून्यक \(\frac{23}{9}\) है?

Which option has zero \(\frac{23}{9}\) for a linear polynomial?

Explanation opens after your attempt
Correct Answer

B. (9x-23)

Explanation

Simple Explanation

(9x-23=0) से \(x=\frac{23}{9}\) मिलता है। शून्यक के लिए बहुपद को (0) के बराबर रखें। / From (9x-23=0), we get \(x=\frac{23}{9}\). Set the polynomial equal to (0) to find the zero.

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

यदि (p(x)=10x-21), तो (p(x+1)-p(x)) क्या है?

If (p(x)=10x-21), what is (p(x+1)-p(x))?

Explanation opens after your attempt
Correct Answer

B. (10)

Explanation

Simple Explanation

(p(x+1)=10x-11) और (p(x)=10x-21) है। अंतर (10) मिलता है। / (p(x+1)=10x-11) and (p(x)=10x-21). The difference is (10).

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

यदि (p(x)=\lambda x+18) और इसका शून्यक (-6) से बड़ा है, तो \(\lambda>0\) होने पर कौन सी शर्त सही है?

If (p(x)=\lambda x+18) and its zero is greater than (-6), which condition is correct when \(\lambda>0\)?

Explanation opens after your attempt
Correct Answer

C. \(\lambda>3\)

Explanation

Simple Explanation

शून्यक \(-\frac{18}{\lambda}\) है। \(-\frac{18}{\lambda}>-6\) और \(\lambda>0\) से \(\lambda>3\) मिलता है। / The zero is \(-\frac{18}{\lambda}\). From \(-\frac{18}{\lambda}>-6\) and \(\lambda>0\), we get \(\lambda>3\).

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

किस विकल्प में (p(x)=ax+b) का शून्यक (-9) होगा?

In which option will (p(x)=ax+b) have zero (-9)?

Explanation opens after your attempt
Correct Answer

A. (b=9a) और \(a\neq0\)(b=9a) and \(a\neq0\)

Explanation

Simple Explanation

शून्यक (-9) होने पर (-9a+b=0) होगा। इसलिए (b=9a) और \(a\neq0\) चाहिए। / If the zero is (-9), then (-9a+b=0). So (b=9a) and \(a\neq0\) are needed.

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

यदि (p(x)=x+4r) और (q(x)=x-7r), तो (p(x)+q(x)) क्या है?

If (p(x)=x+4r) and (q(x)=x-7r), what is (p(x)+q(x))?

Explanation opens after your attempt
Correct Answer

A. (2x-3r)

Explanation

Simple Explanation

जोड़ने पर (x+4r+x-7r=2x-3r) मिलता है। पैरामीटर वाले पदों को भी मिलाएं। / On adding, (x+4r+x-7r=2x-3r). Combine the parameter terms too.

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

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

If (p(x)=x+4r) and (q(x)=x-7r), 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)=11r) है। (x) के संदर्भ में यह नियतांक बहुपद है। / (p(x)-q(x)=11r). With respect to (x), it is a constant polynomial.

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

यदि (p(x)=8x-23), तो (p(p(3))) का सही मान क्या है?

If (p(x)=8x-23), what is the correct value of (p(p(3)))?

Explanation opens after your attempt
Correct Answer

B. (-15)

Explanation

Simple Explanation

(p(3)=1) और (p(1)=8-23=-15) है। अंदर वाले मान को पहले निकालें। / (p(3)=1) and (p(1)=8-23=-15). Find the inner value first.

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

यदि (p(x)=5x+4), तो (p(p(0))) का मान क्या है?

If (p(x)=5x+4), what is the value of (p(p(0)))?

Explanation opens after your attempt
Correct Answer

C. (24)

Explanation

Simple Explanation

(p(0)=4) और (p(4)=24) है। रचना में अंदर वाला मान पहले निकालें। / (p(0)=4) and (p(4)=24). In composition, find the inner value first.

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

किस मान पर ((n-5)x+3n+2) का शून्यक (1) होगा?

For which value will the zero of ((n-5)x+3n+2) be (1)?

Explanation opens after your attempt
Correct Answer

A. \(n=\frac{3}{4}\)

Explanation

Simple Explanation

शून्यक (1) होने पर (n-5+3n+2=0) होगा। इससे (4n-3=0) और \(n=\frac{3}{4}\) मिलता है। / If the zero is (1), then (n-5+3n+2=0). Thus (4n-3=0) and \(n=\frac{3}{4}\).

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

यदि (p(x)=\frac{x}{7}+a) और (p(21)=16), तो (a) का मान क्या है?

If (p(x)=\frac{x}{7}+a) and (p(21)=16), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

C. (13)

Explanation

Simple Explanation

(p(21)=3+a=16) से (a=13) मिलता है। भिन्न रूप में पहले (x) का मान रखें। / From (p(21)=3+a=16), we get (a=13). In fractional form, substitute the value of (x) first.

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

यदि (p(x)=6x+a) और (q(x)=3x-10), तो (p(x)+q(x)) का शून्यक (2) होने पर (a) क्या है?

If (p(x)=6x+a) and (q(x)=3x-10), what is (a) if the zero of (p(x)+q(x)) is (2)?

Explanation opens after your attempt
Correct Answer

A. (-8)

Explanation

Simple Explanation

(p(x)+q(x)=9x+a-10) है। (x=2) रखने पर (18+a-10=0) से (a=-8) मिलता है। / (p(x)+q(x)=9x+a-10). Substituting (x=2) gives (18+a-10=0), so (a=-8).

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

किस मान पर (p(x)=(c-5)x+6c) का शून्यक (-3) होगा?

For which value will the zero of (p(x)=(c-5)x+6c) be (-3)?

Explanation opens after your attempt
Correct Answer

A. (c=-5)

Explanation

Simple Explanation

(-3(c-5)+6c=0) से (3c+15=0) मिलता है। इसलिए (c=-5) है। / From (-3(c-5)+6c=0), we get (3c+15=0). Therefore (c=-5).

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

यदि (p(x)=(c-2)x+4c) का शून्यक (-4) है, तो कौन सा निष्कर्ष सही है?

If the zero of (p(x)=(c-2)x+4c) is (-4), which conclusion is correct?

Explanation opens after your attempt
Correct Answer

C. कोई (c) नहींNo (c)

Explanation

Simple Explanation

(-4(c-2)+4c=0) से (8=0) जैसा असंभव परिणाम मिलता है। इसलिए कोई (c) नहीं है। / From (-4(c-2)+4c=0), we get the impossible result (8=0). Therefore no (c) exists.

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

यदि (p(x)=rx-9) और (p(5)=21), तो (p(-1)) का मान क्या है?

If (p(x)=rx-9) and (p(5)=21), what is the value of (p(-1))?

Explanation opens after your attempt
Correct Answer

B. (-15)

Explanation

Simple Explanation

(5r-9=21) से (r=6) मिलता है। इसलिए (p(-1)=6(-1)-9=-15) है। / From (5r-9=21), we get (r=6). Therefore (p(-1)=6(-1)-9=-15).

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

यदि (p(x)=ax+12) और (p(3)=p(7)-20), तो (a) क्या है?

If (p(x)=ax+12) and (p(3)=p(7)-20), what is (a)?

Explanation opens after your attempt
Correct Answer

C. (5)

Explanation

Simple Explanation

(3a+12=(7a+12)-20) से (3a=7a-20) मिलता है। इसलिए (a=5) है। / From (3a+12=(7a+12)-20), we get (3a=7a-20). Therefore (a=5).

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

यदि (p(x)=6x-25), तो (p(a)=a) होने पर (a) क्या है?

If (p(x)=6x-25), what is (a) when (p(a)=a)?

Explanation opens after your attempt
Correct Answer

B. (5)

Explanation

Simple Explanation

(p(a)=6a-25) है। (6a-25=a) से (a=5) मिलता है। / (p(a)=6a-25). From (6a-25=a), we get (a=5).

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

यदि (p(x)=mx+n), (p(0)=-6) और (p(4)=18), तो (m+n) क्या है?

If (p(x)=mx+n), (p(0)=-6) and (p(4)=18), what is (m+n)?

Explanation opens after your attempt
Correct Answer

A. (0)

Explanation

Simple Explanation

(p(0)=n=-6) और (4m-6=18) से (m=6) मिलता है। इसलिए (m+n=0) है। / (p(0)=n=-6) and (4m-6=18) gives (m=6). Therefore (m+n=0).

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

यदि (p(x)=mx+n), (p(-3)=2) और (p(1)=18), तो (m) क्या है?

If (p(x)=mx+n), (p(-3)=2) and (p(1)=18), what is (m)?

Explanation opens after your attempt
Correct Answer

B. (4)

Explanation

Simple Explanation

दोनों मान घटाने पर (p(1)-p(-3)=4m=16) मिलता है। इसलिए (m=4) है। / Subtracting the two values gives (p(1)-p(-3)=4m=16). Therefore (m=4).

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

किस विकल्प में (p(7)=0) और (p(x)) रेखीय है?

Which option has (p(7)=0) and (p(x)) is linear?

Explanation opens after your attempt
Correct Answer

D. (p(x)=x-7)

Explanation

Simple Explanation

(x-7) में (x=7) रखने पर (0) मिलता है। यह डिग्री (1) वाला रेखीय बहुपद है। / Substituting (x=7) in (x-7) gives (0). It is a linear polynomial of degree (1).

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

यदि (p(x)=7x-13), तो (p(x)+p(-x)) क्या है?

If (p(x)=7x-13), what is (p(x)+p(-x))?

Explanation opens after your attempt
Correct Answer

B. (-26)

Explanation

Simple Explanation

(p(-x)=-7x-13) है। जोड़ने पर (7x-13-7x-13=-26) मिलता है। / (p(-x)=-7x-13). Adding gives (7x-13-7x-13=-26).

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

यदि (p(x)=7x-13), तो (p(x)-p(-x)) क्या है?

If (p(x)=7x-13), what is (p(x)-p(-x))?

Explanation opens after your attempt
Correct Answer

A. (14x)

Explanation

Simple Explanation

(p(-x)=-7x-13) है। घटाने पर (7x-13-(-7x-13)=14x) मिलता है। / (p(-x)=-7x-13). Subtracting gives (7x-13-(-7x-13)=14x).

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

किस मान पर ((s-8)x+5s) का शून्यक (0) होगा?

For which value will the zero of ((s-8)x+5s) be (0)?

Explanation opens after your attempt
Correct Answer

A. (s=0)

Explanation

Simple Explanation

शून्यक (0) होने के लिए नियतांक पद (5s=0) होना चाहिए। (s=0) पर (x) का गुणांक (-8) है इसलिए बहुपद रेखीय है। / For the zero to be (0), the constant term (5s=0). At (s=0), the coefficient of (x) is (-8), so the polynomial is linear.

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

यदि (p(x)=6x+a) और (q(x)=8x-a), तो (p(x)+q(x)) का शून्यक (-1) होने पर (a) क्या है?

If (p(x)=6x+a) and (q(x)=8x-a), what is (a) if the zero of (p(x)+q(x)) is (-1)?

Explanation opens after your attempt
Correct Answer

A. कोई मान नहींNo value

Explanation

Simple Explanation

(p(x)+q(x)=14x) है जिसका शून्यक (0) है। इसलिए शून्यक (-1) किसी (a) पर नहीं हो सकता। / (p(x)+q(x)=14x), whose zero is (0). Therefore the zero cannot be (-1) for any (a).

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

यदि (p(x)=6x+a) और (q(x)=8x-a), तो (q(x)-p(x)) क्या है?

If (p(x)=6x+a) and (q(x)=8x-a), what is (q(x)-p(x))?

Explanation opens after your attempt
Correct Answer

B. (2x-2a)

Explanation

Simple Explanation

(8x-a-(6x+a)=2x-2a) है। घटाते समय कोष्ठक के चिन्ह बदलें। / (8x-a-(6x+a)=2x-2a). Change the signs inside the bracket while subtracting.

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

किस विकल्प में ((5x-2)) और ((x+7)) का गुणनफल रेखीय नहीं है?

Which option correctly says that the product of ((5x-2)) and ((x+7)) is not linear?

Explanation opens after your attempt
Correct Answer

C. क्योंकि डिग्री (2) हैBecause degree is (2)

Explanation

Simple Explanation

((5x-2)(x+7)) में उच्चतम पद \(5x^2\) है। इसलिए गुणनफल की डिग्री (2) है और यह रेखीय नहीं है। / In ((5x-2)(x+7)), the highest term is \(5x^2\). So the product has degree (2) and is not linear.

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

यदि (p(x)=ax+6) और (p(p(0))=48), तो (a) क्या है?

If (p(x)=ax+6) and (p(p(0))=48), what is (a)?

Explanation opens after your attempt
Correct Answer

B. (7)

Explanation

Simple Explanation

(p(0)=6) और (p(6)=6a+6) है। (6a+6=48) से (a=7) मिलता है। / (p(0)=6) and (p(6)=6a+6). From (6a+6=48), we get (a=7).

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

यदि (p(x)=x+a) और (p(p(4))=16), तो (a) का मान क्या है?

If (p(x)=x+a) and (p(p(4))=16), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

C. (6)

Explanation

Simple Explanation

(p(4)=4+a) और (p(4+a)=4+2a) है। (4+2a=16) से (a=6) मिलता है। / (p(4)=4+a) and (p(4+a)=4+2a). From (4+2a=16), we get (a=6).

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

यदि (p(x)=mx+n) और (p(-4)=p(2)), तो (p(x)) रेखीय कब हो सकता है?

If (p(x)=mx+n) and (p(-4)=p(2)), when can (p(x)) be linear?

Explanation opens after your attempt
Correct Answer

C. कभी नहींNever

Explanation

Simple Explanation

(p(-4)=p(2)) से (-4m+n=2m+n) और (m=0) मिलता है। (m=0) पर बहुपद रेखीय नहीं रहता। / From (p(-4)=p(2)), (-4m+n=2m+n), so (m=0). At (m=0), the polynomial is not linear.

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

किस विकल्प में (p(x)=ax+b) का शून्यक (10) होगा?

In which option will (p(x)=ax+b) have zero (10)?

Explanation opens after your attempt
Correct Answer

B. (b=-10a) और \(a\neq0\)(b=-10a) and \(a\neq0\)

Explanation

Simple Explanation

शून्यक (10) होने पर (10a+b=0) होगा। इसलिए (b=-10a) और \(a\neq0\) चाहिए। / If the zero is (10), then (10a+b=0). So (b=-10a) and \(a\neq0\) are needed.

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

यदि (p(x)=12x-5), तो (p(x+2)-p(x-1)) क्या है?

If (p(x)=12x-5), what is (p(x+2)-p(x-1))?

Explanation opens after your attempt
Correct Answer

C. (36)

Explanation

Simple Explanation

(p(x+2)=12x+19) और (p(x-1)=12x-17) है। अंतर (36) है। / (p(x+2)=12x+19) and (p(x-1)=12x-17). The difference is (36).

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

यदि (p(x)=9x-26), तो (p(p(3))) का सही मान क्या है?

If (p(x)=9x-26), what is the correct value of (p(p(3)))?

Explanation opens after your attempt
Correct Answer

B. (-17)

Explanation

Simple Explanation

(p(3)=1) और (p(1)=9-26=-17) है। अंदर वाले मान को पहले निकालें। / (p(3)=1) and (p(1)=9-26=-17). Find the inner value first.

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

यदि (p(x)=13x+a) और (p(p(0))=182), तो (a) का मान क्या है?

If (p(x)=13x+a) and (p(p(0))=182), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

A. (13)

Explanation

Simple Explanation

(p(0)=a) और (p(a)=13a+a=14a) है। (14a=182) से (a=13) मिलता है। / (p(0)=a) and (p(a)=13a+a=14a). From (14a=182), we get (a=13).

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

यदि (p(x)=mx+n), (p(-2)=5) और (p(3)=30), तो (m+n) क्या है?

If (p(x)=mx+n), (p(-2)=5) and (p(3)=30), what is (m+n)?

Explanation opens after your attempt
Correct Answer

B. (15)

Explanation

Simple Explanation

दोनों मान घटाने पर (5m=25) से (m=5) मिलता है। (-2m+n=5) से (n=15), इसलिए (m+n=20) नहीं बल्कि (20) है। / Subtracting the two values gives (5m=25), so (m=5). From (-2m+n=5), (n=15), so (m+n=20), not (15).

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

यदि (p(x)=14x-9), तो (p(x+1)+p(x-3)) क्या है?

If (p(x)=14x-9), what is (p(x+1)+p(x-3))?

Explanation opens after your attempt
Correct Answer

A. (28x-46)

Explanation

Simple Explanation

(p(x+1)=14x+5) और (p(x-3)=14x-51) है। जोड़ने पर (28x-46) मिलता है। / (p(x+1)=14x+5) and (p(x-3)=14x-51). Adding gives (28x-46).

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

किस मान पर (\(r^2-9r+20\)x+6) रेखीय बहुपद नहीं रहेगा?

For which value will (\(r^2-9r+20\)x+6) not remain a linear polynomial?

Explanation opens after your attempt
Correct Answer

A. (r=4) या (r=5)(r=4) or (r=5)

Explanation

Simple Explanation

रेखीय न रहने के लिए (x) का गुणांक (0) होना चाहिए। \(r^2-9r+20=0\) से (r=4) या (r=5) मिलता है। / For it not to be linear, the coefficient of (x) must be (0). From \(r^2-9r+20=0\), (r=4) or (r=5).

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Question 101/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

सरल करने के बाद (8(2x-1)-3(5x+4)) कौन सा रेखीय बहुपद बनेगा?

After simplifying (8(2x-1)-3(5x+4)), which linear polynomial is obtained?

Explanation opens after your attempt
Correct Answer

A. (x-20)

Explanation

Simple Explanation

(16x-8-15x-12=x-20) है। कोष्ठक खोलने के बाद समान पद मिलाएं। / (16x-8-15x-12=x-20). After opening brackets, combine like terms.

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Question 102/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस मान पर (\(v^2-36\)x-13) रेखीय बहुपद नहीं रहेगा?

For which value will (\(v^2-36\)x-13) not remain a linear polynomial?

Explanation opens after your attempt
Correct Answer

B. (v=6) या (v=-6)(v=6) or (v=-6)

Explanation

Simple Explanation

रेखीय न रहने के लिए (x) का गुणांक (0) होना चाहिए। \(v^2-36=0\) से \(v=\pm6\) मिलता है। / For it not to be linear, the coefficient of (x) must be (0). From \(v^2-36=0\), \(v=\pm6\).

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Question 103/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=(k-6)x+18) का शून्यक (-3) है, तो (k) क्या है?

If the zero of (p(x)=(k-6)x+18) is (-3), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (12)

Explanation

Simple Explanation

(-3(k-6)+18=0) से (k=12) मिलता है। शून्यक को बहुपद में रखकर समीकरण बनाएं। / From (-3(k-6)+18=0), we get (k=12). Substitute the zero into the polynomial to form the equation.

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Question 104/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=8x-5) और (q(x)=3x+11), तो (2p(x)-5q(x)) क्या है?

If (p(x)=8x-5) and (q(x)=3x+11), what is (2p(x)-5q(x))?

Explanation opens after your attempt
Correct Answer

A. (x-65)

Explanation

Simple Explanation

(2(8x-5)-5(3x+11)=x-65) है। पहले गुणा करें फिर समान पद मिलाएं। / (2(8x-5)-5(3x+11)=x-65). Multiply first and then combine like terms.

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Question 105/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस मान पर ((4a-5)x+30) का शून्यक (-2) होगा?

For which value will the zero of ((4a-5)x+30) be (-2)?

Explanation opens after your attempt
Correct Answer

A. (a=5)

Explanation

Simple Explanation

शून्यक (-2) होने पर (-2(4a-5)+30=0) होगा। इससे (a=5) मिलता है। / If the zero is (-2), then (-2(4a-5)+30=0). This gives (a=5).

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Question 106/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=ax+b) का शून्यक (7) है और (a=-4), तो (b) क्या है?

If the zero of (p(x)=ax+b) is (7) and (a=-4), what is (b)?

Explanation opens after your attempt
Correct Answer

C. (28)

Explanation

Simple Explanation

(p(7)=0) से (7a+b=0) होगा। (a=-4) रखने पर (b=28) मिलता है। / From (p(7)=0), (7a+b=0). Substituting (a=-4) gives (b=28).

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Question 107/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=11x+c) और (p(4)=p(1)+33), तो (c) के बारे में क्या सही है?

If (p(x)=11x+c) and (p(4)=p(1)+33), what is correct about (c)?

Explanation opens after your attempt
Correct Answer

B. हर (c) सही हैEvery (c) is valid

Explanation

Simple Explanation

(p(4)-p(1)=(44+c)-(11+c)=33) है। इसलिए शर्त हर (c) के लिए सही है। / (p(4)-p(1)=(44+c)-(11+c)=33). So the condition is true for every (c).

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Question 108/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस विकल्प में रेखीय बहुपद का शून्यक \(-\frac{9}{13}\) है?

Which option has zero \(-\frac{9}{13}\) for a linear polynomial?

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Correct Answer

C. (13x+9)

Explanation

Simple Explanation

(13x+9=0) से \(x=-\frac{9}{13}\) मिलता है। भिन्न शून्यक में चिन्ह और हर ध्यान रखें। / From (13x+9=0), we get \(x=-\frac{9}{13}\). Pay attention to the sign and denominator in fractional zeros.

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Question 109/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=\frac{8}{15}x-16), तो किस मान पर (p(x)=0) होगा?

If (p(x)=\frac{8}{15}x-16), for which value will (p(x)=0)?

Explanation opens after your attempt
Correct Answer

C. (x=30)

Explanation

Simple Explanation

\(\frac{8}{15}x-16=0\) से \(\frac{8}{15}x=16\) और (x=30) मिलता है। भिन्न गुणांक में उलटा गुणा करें। / From \(\frac{8}{15}x-16=0\), \(\frac{8}{15}x=16\) and (x=30). With a fractional coefficient, multiply by the reciprocal.

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Question 110/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=x-10) और (q(x)=x+3), तो (p(x)q(x)) की डिग्री क्या है?

If (p(x)=x-10) and (q(x)=x+3), what is the degree of (p(x)q(x))?

Explanation opens after your attempt
Correct Answer

B. (2)

Explanation

Simple Explanation

((x-10)(x+3)) में उच्चतम पद \(x^2\) है। इसलिए गुणनफल की डिग्री (2) है। / In ((x-10)(x+3)), the highest term is \(x^2\). Therefore the product has degree (2).

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Question 111/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=9x-17), तो (p(x+3)) क्या है?

If (p(x)=9x-17), what is (p(x+3))?

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Correct Answer

A. (9x+10)

Explanation

Simple Explanation

(p(x+3)=9(x+3)-17=9x+10) है। (x) की जगह पूरा (x+3) रखें। / (p(x+3)=9(x+3)-17=9x+10). Substitute the whole (x+3) in place of (x).

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Question 112/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=19-7x), तो (p(2x)) कौन सा है?

If (p(x)=19-7x), which is (p(2x))?

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Correct Answer

B. (19-14x)

Explanation

Simple Explanation

(p(2x)=19-7(2x)=19-14x) है। प्रतिस्थापन करते समय पूरे (2x) को रखें। / (p(2x)=19-7(2x)=19-14x). While substituting, use the whole (2x).

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Question 113/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस मान पर (\(t^2-8t+15\)x+(t-3)) रेखीय बहुपद नहीं रहेगा?

For which value will (\(t^2-8t+15\)x+(t-3)) not remain a linear polynomial?

Explanation opens after your attempt
Correct Answer

A. (t=3) या (t=5)(t=3) or (t=5)

Explanation

Simple Explanation

रेखीय होने के लिए \(t^2-8t+15\neq0\) चाहिए। \(t^2-8t+15=0\) से (t=3) या (t=5) मिलता है। / For it to be linear, \(t^2-8t+15\neq0\) is needed. From \(t^2-8t+15=0\), (t=3) or (t=5).

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Question 114/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=kx-14) और (p(7)=p(-1)), तो (p(x)) रेखीय कब रहेगा?

If (p(x)=kx-14) and (p(7)=p(-1)), when will (p(x)) remain linear?

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Correct Answer

C. कभी नहींNever

Explanation

Simple Explanation

(p(7)=p(-1)) से (7k-14=-k-14) और (k=0) मिलता है। (k=0) पर बहुपद रेखीय नहीं रहता। / From (p(7)=p(-1)), (7k-14=-k-14), so (k=0). At (k=0), the polynomial is not linear.

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Question 115/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=7x+2) और (q(x)=15x-6), तो (q(x)-2p(x)) की डिग्री क्या है?

If (p(x)=7x+2) and (q(x)=15x-6), what is the degree of (q(x)-2p(x))?

Explanation opens after your attempt
Correct Answer

B. (1)

Explanation

Simple Explanation

(q(x)-2p(x)=15x-6-2(7x+2)=x-10) है। इसकी डिग्री (1) है। / (q(x)-2p(x)=15x-6-2(7x+2)=x-10). Its degree is (1).

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Question 116/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस विकल्प में रेखीय बहुपद का शून्यक \(\frac{29}{11}\) है?

Which option has zero \(\frac{29}{11}\) for a linear polynomial?

Explanation opens after your attempt
Correct Answer

A. (11x-29)

Explanation

Simple Explanation

(11x-29=0) से \(x=\frac{29}{11}\) मिलता है। शून्यक के लिए बहुपद को (0) के बराबर रखें। / From (11x-29=0), we get \(x=\frac{29}{11}\). Set the polynomial equal to (0) to find the zero.

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Question 117/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=12x-25), तो (p(x+1)-p(x)) क्या है?

If (p(x)=12x-25), what is (p(x+1)-p(x))?

Explanation opens after your attempt
Correct Answer

B. (12)

Explanation

Simple Explanation

(p(x+1)=12x-13) और (p(x)=12x-25) है। अंतर (12) मिलता है। / (p(x+1)=12x-13) and (p(x)=12x-25). The difference is (12).

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Question 118/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=\lambda x+21) और इसका शून्यक (-7) से बड़ा है, तो \(\lambda>0\) होने पर कौन सी शर्त सही है?

If (p(x)=\lambda x+21) and its zero is greater than (-7), which condition is correct when \(\lambda>0\)?

Explanation opens after your attempt
Correct Answer

C. \(\lambda>3\)

Explanation

Simple Explanation

शून्यक \(-\frac{21}{\lambda}\) है। \(-\frac{21}{\lambda}>-7\) और \(\lambda>0\) से \(\lambda>3\) मिलता है। / The zero is \(-\frac{21}{\lambda}\). From \(-\frac{21}{\lambda}>-7\) and \(\lambda>0\), we get \(\lambda>3\).

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Question 119/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस विकल्प में (p(x)=ax+b) का शून्यक (-11) होगा?

In which option will (p(x)=ax+b) have zero (-11)?

Explanation opens after your attempt
Correct Answer

A. (b=11a) और \(a\neq0\)(b=11a) and \(a\neq0\)

Explanation

Simple Explanation

शून्यक (-11) होने पर (-11a+b=0) होगा। इसलिए (b=11a) और \(a\neq0\) चाहिए। / If the zero is (-11), then (-11a+b=0). So (b=11a) and \(a\neq0\) are needed.

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Question 120/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=x+5r) और (q(x)=x-8r), तो (p(x)+q(x)) क्या है?

If (p(x)=x+5r) and (q(x)=x-8r), what is (p(x)+q(x))?

Explanation opens after your attempt
Correct Answer

A. (2x-3r)

Explanation

Simple Explanation

जोड़ने पर (x+5r+x-8r=2x-3r) मिलता है। पैरामीटर वाले पदों को भी मिलाएं। / On adding, (x+5r+x-8r=2x-3r). Combine the parameter terms too.

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Question 121/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=x+5r) और (q(x)=x-8r), तो (p(x)-q(x)) किस प्रकार का बहुपद है?

If (p(x)=x+5r) and (q(x)=x-8r), 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)=13r) है। (x) के संदर्भ में यह नियतांक बहुपद है। / (p(x)-q(x)=13r). With respect to (x), it is a constant polynomial.

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Question 122/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=10x-29), तो (p(p(3))) का सही मान क्या है?

If (p(x)=10x-29), what is the correct value of (p(p(3)))?

Explanation opens after your attempt
Correct Answer

B. (-19)

Explanation

Simple Explanation

(p(3)=1) और (p(1)=10-29=-19) है। अंदर वाले मान को पहले निकालें। / (p(3)=1) and (p(1)=10-29=-19). Find the inner value first.

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Question 123/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=6x+5), तो (p(p(0))) का मान क्या है?

If (p(x)=6x+5), what is the value of (p(p(0)))?

Explanation opens after your attempt
Correct Answer

C. (35)

Explanation

Simple Explanation

(p(0)=5) और (p(5)=35) है। रचना में अंदर वाला मान पहले निकालें। / (p(0)=5) and (p(5)=35). In composition, find the inner value first.

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Question 124/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस मान पर ((n+6)x+4n-3) का शून्यक (1) होगा?

For which value will the zero of ((n+6)x+4n-3) be (1)?

Explanation opens after your attempt
Correct Answer

A. \(n=-\frac{3}{5}\)

Explanation

Simple Explanation

शून्यक (1) होने पर (n+6+4n-3=0) होगा। इससे (5n+3=0) और \(n=-\frac{3}{5}\) मिलता है। / If the zero is (1), then (n+6+4n-3=0). Thus (5n+3=0) and \(n=-\frac{3}{5}\).

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Question 125/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=\frac{x}{8}+a) और (p(24)=17), तो (a) का मान क्या है?

If (p(x)=\frac{x}{8}+a) and (p(24)=17), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

C. (14)

Explanation

Simple Explanation

(p(24)=3+a=17) से (a=14) मिलता है। भिन्न रूप में पहले (x) का मान रखें। / From (p(24)=3+a=17), we get (a=14). In fractional form, substitute the value of (x) first.

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Question 126/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=7x+a) और (q(x)=4x-12), तो (p(x)+q(x)) का शून्यक (2) होने पर (a) क्या है?

If (p(x)=7x+a) and (q(x)=4x-12), what is (a) if the zero of (p(x)+q(x)) is (2)?

Explanation opens after your attempt
Correct Answer

A. (-10)

Explanation

Simple Explanation

(p(x)+q(x)=11x+a-12) है। (x=2) रखने पर (22+a-12=0) से (a=-10) मिलता है। / (p(x)+q(x)=11x+a-12). Substituting (x=2) gives (22+a-12=0), so (a=-10).

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Question 127/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस मान पर (p(x)=(c-7)x+8c) का शून्यक (-4) होगा?

For which value will the zero of (p(x)=(c-7)x+8c) be (-4)?

Explanation opens after your attempt
Correct Answer

A. (c=-7)

Explanation

Simple Explanation

(-4(c-7)+8c=0) से (4c+28=0) मिलता है। इसलिए (c=-7) है। / From (-4(c-7)+8c=0), we get (4c+28=0). Therefore (c=-7).

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Question 128/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=(c-3)x+6c) का शून्यक (-6) है, तो कौन सा निष्कर्ष सही है?

If the zero of (p(x)=(c-3)x+6c) is (-6), which conclusion is correct?

Explanation opens after your attempt
Correct Answer

C. कोई (c) नहींNo (c)

Explanation

Simple Explanation

(-6(c-3)+6c=0) से (18=0) जैसा असंभव परिणाम मिलता है। इसलिए कोई (c) नहीं है। / From (-6(c-3)+6c=0), we get the impossible result (18=0). Therefore no (c) exists.

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Question 129/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=rx-12) और (p(6)=30), तो (p(-2)) का मान क्या है?

If (p(x)=rx-12) and (p(6)=30), what is the value of (p(-2))?

Explanation opens after your attempt
Correct Answer

B. (-26)

Explanation

Simple Explanation

(6r-12=30) से (r=7) मिलता है। इसलिए (p(-2)=7(-2)-12=-26) है। / From (6r-12=30), we get (r=7). Therefore (p(-2)=7(-2)-12=-26).

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Question 130/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=ax+15) और (p(2)=p(8)-30), तो (a) क्या है?

If (p(x)=ax+15) and (p(2)=p(8)-30), what is (a)?

Explanation opens after your attempt
Correct Answer

B. (5)

Explanation

Simple Explanation

(2a+15=(8a+15)-30) से (2a=8a-30) मिलता है। इसलिए (a=5) है। / From (2a+15=(8a+15)-30), we get (2a=8a-30). Therefore (a=5).

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Question 131/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=7x-30), तो (p(a)=a) होने पर (a) क्या है?

If (p(x)=7x-30), what is (a) when (p(a)=a)?

Explanation opens after your attempt
Correct Answer

B. (5)

Explanation

Simple Explanation

(p(a)=7a-30) है। (7a-30=a) से (a=5) मिलता है। / (p(a)=7a-30). From (7a-30=a), we get (a=5).

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Question 132/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=mx+n), (p(0)=-8) और (p(5)=27), तो (m+n) क्या है?

If (p(x)=mx+n), (p(0)=-8) and (p(5)=27), what is (m+n)?

Explanation opens after your attempt
Correct Answer

A. (-1)

Explanation

Simple Explanation

(p(0)=n=-8) और (5m-8=27) से (m=7) मिलता है। इसलिए (m+n=-1) है। / (p(0)=n=-8) and (5m-8=27) gives (m=7). Therefore (m+n=-1).

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Question 133/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=mx+n), (p(-4)=3) और (p(2)=27), तो (m) क्या है?

If (p(x)=mx+n), (p(-4)=3) and (p(2)=27), what is (m)?

Explanation opens after your attempt
Correct Answer

B. (4)

Explanation

Simple Explanation

दोनों मान घटाने पर (p(2)-p(-4)=6m=24) मिलता है। इसलिए (m=4) है। / Subtracting the two values gives (p(2)-p(-4)=6m=24). Therefore (m=4).

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Question 134/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस विकल्प में (p(9)=0) और (p(x)) रेखीय है?

Which option has (p(9)=0) and (p(x)) is linear?

Explanation opens after your attempt
Correct Answer

D. (p(x)=x-9)

Explanation

Simple Explanation

(x-9) में (x=9) रखने पर (0) मिलता है। यह डिग्री (1) वाला रेखीय बहुपद है। / Substituting (x=9) in (x-9) gives (0). It is a linear polynomial of degree (1).

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Question 135/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=8x-15), तो (p(x)+p(-x)) क्या है?

If (p(x)=8x-15), what is (p(x)+p(-x))?

Explanation opens after your attempt
Correct Answer

B. (-30)

Explanation

Simple Explanation

(p(-x)=-8x-15) है। जोड़ने पर (8x-15-8x-15=-30) मिलता है। / (p(-x)=-8x-15). Adding gives (8x-15-8x-15=-30).

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Question 136/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=8x-15), तो (p(x)-p(-x)) क्या है?

If (p(x)=8x-15), what is (p(x)-p(-x))?

Explanation opens after your attempt
Correct Answer

A. (16x)

Explanation

Simple Explanation

(p(-x)=-8x-15) है। घटाने पर (8x-15-(-8x-15)=16x) मिलता है। / (p(-x)=-8x-15). Subtracting gives (8x-15-(-8x-15)=16x).

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Question 137/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस मान पर ((s+9)x+6s) का शून्यक (0) होगा?

For which value will the zero of ((s+9)x+6s) be (0)?

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Correct Answer

A. (s=0)

Explanation

Simple Explanation

शून्यक (0) होने के लिए नियतांक पद (6s=0) होना चाहिए। (s=0) पर (x) का गुणांक (9) है इसलिए बहुपद रेखीय है। / For the zero to be (0), the constant term (6s=0). At (s=0), the coefficient of (x) is (9), so the polynomial is linear.

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Question 138/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=7x+a) और (q(x)=9x-a), तो (p(x)+q(x)) का शून्यक (2) होने पर (a) क्या है?

If (p(x)=7x+a) and (q(x)=9x-a), what is (a) if the zero of (p(x)+q(x)) is (2)?

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Correct Answer

A. कोई मान नहींNo value

Explanation

Simple Explanation

(p(x)+q(x)=16x) है जिसका शून्यक (0) है। इसलिए शून्यक (2) किसी (a) पर नहीं हो सकता। / (p(x)+q(x)=16x), whose zero is (0). Therefore the zero cannot be (2) for any (a).

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Question 139/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=7x+a) और (q(x)=9x-a), तो (q(x)-p(x)) क्या है?

If (p(x)=7x+a) and (q(x)=9x-a), what is (q(x)-p(x))?

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Correct Answer

B. (2x-2a)

Explanation

Simple Explanation

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

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Question 140/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस विकल्प में ((6x-1)) और ((x+8)) का गुणनफल रेखीय नहीं है?

Which option correctly says that the product of ((6x-1)) and ((x+8)) is not linear?

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Correct Answer

C. क्योंकि डिग्री (2) हैBecause degree is (2)

Explanation

Simple Explanation

((6x-1)(x+8)) में उच्चतम पद \(6x^2\) है। इसलिए गुणनफल की डिग्री (2) है और यह रेखीय नहीं है। / In ((6x-1)(x+8)), the highest term is \(6x^2\). So the product has degree (2) and is not linear.

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Question 141/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=ax+7) और (p(p(0))=63), तो (a) क्या है?

If (p(x)=ax+7) and (p(p(0))=63), what is (a)?

Explanation opens after your attempt
Correct Answer

B. (8)

Explanation

Simple Explanation

(p(0)=7) और (p(7)=7a+7) है। (7a+7=63) से (a=8) मिलता है। / (p(0)=7) and (p(7)=7a+7). From (7a+7=63), we get (a=8).

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Question 142/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=x+a) और (p(p(5))=19), तो (a) का मान क्या है?

If (p(x)=x+a) and (p(p(5))=19), what is the value of (a)?

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Correct Answer

C. (7)

Explanation

Simple Explanation

(p(5)=5+a) और (p(5+a)=5+2a) है। (5+2a=19) से (a=7) मिलता है। / (p(5)=5+a) and (p(5+a)=5+2a). From (5+2a=19), we get (a=7).

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Question 143/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=mx+n) और (p(-5)=p(3)), तो (p(x)) रेखीय कब हो सकता है?

If (p(x)=mx+n) and (p(-5)=p(3)), when can (p(x)) be linear?

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Correct Answer

C. कभी नहींNever

Explanation

Simple Explanation

(p(-5)=p(3)) से (-5m+n=3m+n) और (m=0) मिलता है। (m=0) पर बहुपद रेखीय नहीं रहता। / From (p(-5)=p(3)), (-5m+n=3m+n), so (m=0). At (m=0), the polynomial is not linear.

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Question 144/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस विकल्प में (p(x)=ax+b) का शून्यक (12) होगा?

In which option will (p(x)=ax+b) have zero (12)?

Explanation opens after your attempt
Correct Answer

B. (b=-12a) और \(a\neq0\)(b=-12a) and \(a\neq0\)

Explanation

Simple Explanation

शून्यक (12) होने पर (12a+b=0) होगा। इसलिए (b=-12a) और \(a\neq0\) चाहिए। / If the zero is (12), then (12a+b=0). So (b=-12a) and \(a\neq0\) are needed.

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Question 145/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=13x-7), तो (p(x+2)-p(x-1)) क्या है?

If (p(x)=13x-7), what is (p(x+2)-p(x-1))?

Explanation opens after your attempt
Correct Answer

C. (39)

Explanation

Simple Explanation

(p(x+2)=13x+19) और (p(x-1)=13x-20) है। अंतर (39) है। / (p(x+2)=13x+19) and (p(x-1)=13x-20). The difference is (39).

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Question 146/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=11x-32), तो (p(p(3))) का सही मान क्या है?

If (p(x)=11x-32), what is the correct value of (p(p(3)))?

Explanation opens after your attempt
Correct Answer

B. (-21)

Explanation

Simple Explanation

(p(3)=1) और (p(1)=11-32=-21) है। अंदर वाले मान को पहले निकालें। / (p(3)=1) and (p(1)=11-32=-21). Find the inner value first.

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Question 147/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=15x+a) और (p(p(0))=240), तो (a) का मान क्या है?

If (p(x)=15x+a) and (p(p(0))=240), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

B. (15)

Explanation

Simple Explanation

(p(0)=a) और (p(a)=15a+a=16a) है। (16a=240) से (a=15) मिलता है। / (p(0)=a) and (p(a)=15a+a=16a). From (16a=240), we get (a=15).

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Question 148/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=mx+n), (p(-3)=4) और (p(2)=29), तो (m+n) क्या है?

If (p(x)=mx+n), (p(-3)=4) and (p(2)=29), what is (m+n)?

Explanation opens after your attempt
Correct Answer

B. (24)

Explanation

Simple Explanation

दोनों मान घटाने पर (5m=25) से (m=5) मिलता है। फिर (-3m+n=4) से (n=19), इसलिए (m+n=24) है। / Subtracting the two values gives (5m=25), so (m=5). Then (-3m+n=4) gives (n=19), so (m+n=24).

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Question 149/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

यदि (p(x)=16x-11), तो (p(x+2)+p(x-3)) क्या है?

If (p(x)=16x-11), what is (p(x+2)+p(x-3))?

Explanation opens after your attempt
Correct Answer

D. (32x-38)

Explanation

Simple Explanation

(p(x+2)=16x+21) और (p(x-3)=16x-59) है। जोड़ने पर (32x-38) मिलता है। / (p(x+2)=16x+21) and (p(x-3)=16x-59). Adding gives (32x-38).

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Question 150/150 Expert Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 34

किस मान पर (\(r^2-11r+30\)x+8) रेखीय बहुपद नहीं रहेगा?

For which value will (\(r^2-11r+30\)x+8) not remain a linear polynomial?

Explanation opens after your attempt
Correct Answer

A. (r=5) या (r=6)(r=5) or (r=6)

Explanation

Simple Explanation

रेखीय न रहने के लिए (x) का गुणांक (0) होना चाहिए। \(r^2-11r+30=0\) से (r=5) या (r=6) मिलता है। / For it not to be linear, the coefficient of (x) must be (0). From \(r^2-11r+30=0\), (r=5) or (r=6).

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