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Mathematics Quiz - Class 9 Mathematics Exploring Algebrai...

Question 1/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

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

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

Explanation opens after your attempt

Correct Answer

A. (-x-55)

Step 1

Concept

(14x-35-15x-20=-x-55). Open brackets and combine like terms.

Step 2

Why this answer is correct

The correct answer is A. (-x-55). (14x-35-15x-20=-x-55). Open brackets and combine like terms.

Step 3

Exam Tip

(14x-35-15x-20=-x-55) है। कोष्ठक खोलकर समान पद मिलाएं।

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Question 2/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

किस मान पर (\(a^2-9\)x+11) रेखीय बहुपद नहीं रहेगा?

For which value will (\(a^2-9\)x+11) not remain a linear polynomial?

Explanation opens after your attempt

Correct Answer

B. (a=3) या (a=-3)(a=3) or (a=-3)

Step 1

Concept

For it not to be linear, the coefficient of (x) must be (0). From \(a^2-9=0\), \(a=\pm3\).

Step 2

Why this answer is correct

The correct answer is B. (a=3) या (a=-3) / (a=3) or (a=-3). For it not to be linear, the coefficient of (x) must be (0). From \(a^2-9=0\), \(a=\pm3\).

Step 3

Exam Tip

रेखीय न रहने के लिए (x) का गुणांक (0) होना चाहिए। \(a^2-9=0\) से \(a=\pm3\) मिलता है।

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Question 3/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=(k-4)x+15) का शून्यक (-5) है, तो (k) का मान क्या है?

If the zero of (p(x)=(k-4)x+15) is (-5), what is the value of (k)?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

From (-5(k-4)+15=0), we get (k=7). Substitute the zero into the polynomial and set it to (0).

Step 2

Why this answer is correct

The correct answer is C. (7). From (-5(k-4)+15=0), we get (k=7). Substitute the zero into the polynomial and set it to (0).

Step 3

Exam Tip

(-5(k-4)+15=0) से (k=7) मिलता है। शून्यक को बहुपद में रखकर (0) करें।

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Question 4/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

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

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

Explanation opens after your attempt

Correct Answer

D. (-x+41)

Step 1

Concept

(4(2x+5)-3(3x-7)=-x+41). Multiply and then combine like terms.

Step 2

Why this answer is correct

The correct answer is D. (-x+41). (4(2x+5)-3(3x-7)=-x+41). Multiply and then combine like terms.

Step 3

Exam Tip

(4(2x+5)-3(3x-7)=-x+41) है। गुणा करके समान पदों को मिलाएं।

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Question 5/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

किस मान पर ((2m+3)x-14) का शून्यक (2) होगा?

For which value will the zero of ((2m+3)x-14) be (2)?

Explanation opens after your attempt

Correct Answer

A. (m=2)

Step 1

Concept

If the zero is (2), then (2(2m+3)-14=0). This gives (m=2).

Step 2

Why this answer is correct

The correct answer is A. (m=2). If the zero is (2), then (2(2m+3)-14=0). This gives (m=2).

Step 3

Exam Tip

शून्यक (2) होने पर (2(2m+3)-14=0) होगा। इससे (m=2) मिलता है।

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Question 6/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=ax+b) का शून्यक (5) है और (a=-2), तो (b) क्या है?

If the zero of (p(x)=ax+b) is (5) and (a=-2), what is (b)?

Explanation opens after your attempt

Correct Answer

A. (10)

Step 1

Concept

From (p(5)=0), (5a+b=0). Substituting (a=-2) gives (b=10).

Step 2

Why this answer is correct

The correct answer is A. (10). From (p(5)=0), (5a+b=0). Substituting (a=-2) gives (b=10).

Step 3

Exam Tip

(p(5)=0) से (5a+b=0) होगा। (a=-2) रखने पर (b=10) मिलता है।

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Question 7/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=6x+c) और (p(5)=p(2)+18), तो (c) के बारे में क्या सही है?

If (p(x)=6x+c) and (p(5)=p(2)+18), what is correct about (c)?

Explanation opens after your attempt

Correct Answer

C. हर (c) सही हैEvery (c) is valid

Step 1

Concept

(p(5)-p(2)=(30+c)-(12+c)=18). So the condition is true for every (c).

Step 2

Why this answer is correct

The correct answer is C. हर (c) सही है / Every (c) is valid. (p(5)-p(2)=(30+c)-(12+c)=18). So the condition is true for every (c).

Step 3

Exam Tip

(p(5)-p(2)=(30+c)-(12+c)=18) है। इसलिए यह शर्त हर (c) के लिए सही है।

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Question 8/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

किस विकल्प में रेखीय बहुपद का शून्यक \(-\frac{7}{9}\) है?

Which option has zero \(-\frac{7}{9}\) for a linear polynomial?

Explanation opens after your attempt

Correct Answer

D. (9x+7)

Step 1

Concept

From (9x+7=0), we get \(x=-\frac{7}{9}\). Pay attention to the sign and denominator in fractional zeros.

Step 2

Why this answer is correct

The correct answer is D. (9x+7). From (9x+7=0), we get \(x=-\frac{7}{9}\). Pay attention to the sign and denominator in fractional zeros.

Step 3

Exam Tip

(9x+7=0) से \(x=-\frac{7}{9}\) मिलता है। भिन्न शून्यक में चिन्ह और हर ध्यान रखें।

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

यदि (p(x)=\frac{4}{9}x-8), तो किस मान पर (p(x)=0) होगा?

If (p(x)=\frac{4}{9}x-8), for which value will (p(x)=0)?

Explanation opens after your attempt

Correct Answer

A. (x=18)

Step 1

Concept

From \(\frac{4}{9}x-8=0\), \(\frac{4}{9}x=8\) and (x=18). With a fractional coefficient, multiply by the reciprocal.

Step 2

Why this answer is correct

The correct answer is A. (x=18). From \(\frac{4}{9}x-8=0\), \(\frac{4}{9}x=8\) and (x=18). With a fractional coefficient, multiply by the reciprocal.

Step 3

Exam Tip

\(\frac{4}{9}x-8=0\) से \(\frac{4}{9}x=8\) और (x=18) मिलता है। भिन्न गुणांक में उलटा गुणा करें।

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Question 10/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

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

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

Explanation opens after your attempt

Correct Answer

B. (2)

Step 1

Concept

In ((x+6)(x-2)), the highest term is \(x^2\). Therefore the product has degree (2).

Step 2

Why this answer is correct

The correct answer is B. (2). In ((x+6)(x-2)), the highest term is \(x^2\). Therefore the product has degree (2).

Step 3

Exam Tip

((x+6)(x-2)) में उच्चतम पद \(x^2\) है। इसलिए गुणनफल की डिग्री (2) है।

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Question 11/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=5x-8), तो (p(x-3)) क्या है?

If (p(x)=5x-8), what is (p(x-3))?

Explanation opens after your attempt

Correct Answer

A. (5x-23)

Step 1

Concept

(p(x-3)=5(x-3)-8=5x-23). Substitute the whole (x-3) in place of (x).

Step 2

Why this answer is correct

The correct answer is A. (5x-23). (p(x-3)=5(x-3)-8=5x-23). Substitute the whole (x-3) in place of (x).

Step 3

Exam Tip

(p(x-3)=5(x-3)-8=5x-23) है। (x) की जगह पूरा (x-3) रखें।

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Question 12/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=13-4x), तो (p(2x)) कौन सा है?

If (p(x)=13-4x), which is (p(2x))?

Explanation opens after your attempt

Correct Answer

B. (13-8x)

Step 1

Concept

(p(2x)=13-4(2x)=13-8x). While substituting, use the whole (2x).

Step 2

Why this answer is correct

The correct answer is B. (13-8x). (p(2x)=13-4(2x)=13-8x). While substituting, use the whole (2x).

Step 3

Exam Tip

(p(2x)=13-4(2x)=13-8x) है। प्रतिस्थापन करते समय पूरे (2x) को रखें।

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Question 13/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

किस मान पर (\(t^2-6t+8\)x+(t-2)) रेखीय बहुपद नहीं रहेगा?

For which value will (\(t^2-6t+8\)x+(t-2)) not remain a linear polynomial?

Explanation opens after your attempt

Correct Answer

A. (t=2) या (t=4)(t=2) or (t=4)

Step 1

Concept

For it to be linear, \(t^2-6t+8\neq0\) is needed. From \(t^2-6t+8=0\), (t=2) or (t=4).

Step 2

Why this answer is correct

The correct answer is A. (t=2) या (t=4) / (t=2) or (t=4). For it to be linear, \(t^2-6t+8\neq0\) is needed. From \(t^2-6t+8=0\), (t=2) or (t=4).

Step 3

Exam Tip

रेखीय होने के लिए \(t^2-6t+8\neq0\) चाहिए। \(t^2-6t+8=0\) से (t=2) या (t=4) मिलता है।

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Question 14/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=kx+7) और (p(4)=p(-2)), तो (p(x)) रेखीय कब रहेगा?

If (p(x)=kx+7) and (p(4)=p(-2)), when will (p(x)) remain linear?

Explanation opens after your attempt

Correct Answer

C. कभी नहींNever

Step 1

Concept

From (p(4)=p(-2)), (4k+7=-2k+7), so (k=0). At (k=0), the polynomial is not linear.

Step 2

Why this answer is correct

The correct answer is C. कभी नहीं / Never. From (p(4)=p(-2)), (4k+7=-2k+7), so (k=0). At (k=0), the polynomial is not linear.

Step 3

Exam Tip

(p(4)=p(-2)) से (4k+7=-2k+7) और (k=0) मिलता है। (k=0) पर बहुपद रेखीय नहीं रहता।

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Question 15/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

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

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

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

If the zero is (0), then (p(0)=b=0). To remain linear, \(a\neq0\) is also necessary.

Step 2

Why this answer is correct

The correct answer is D. (b=0) और \(a\neq0\) / (b=0) and \(a\neq0\). If the zero is (0), then (p(0)=b=0). To remain linear, \(a\neq0\) is also necessary.

Step 3

Exam Tip

शून्यक (0) होने पर (p(0)=b=0) होना चाहिए। रेखीय रहने के लिए \(a\neq0\) भी जरूरी है।

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Question 16/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=4x+1) और (q(x)=9x-3), तो (q(x)-2p(x)) की डिग्री क्या है?

If (p(x)=4x+1) and (q(x)=9x-3), what is the degree of (q(x)-2p(x))?

Explanation opens after your attempt

Correct Answer

B. (1)

Step 1

Concept

(q(x)-2p(x)=9x-3-2(4x+1)=x-5). Its degree is (1).

Step 2

Why this answer is correct

The correct answer is B. (1). (q(x)-2p(x)=9x-3-2(4x+1)=x-5). Its degree is (1).

Step 3

Exam Tip

(q(x)-2p(x)=9x-3-2(4x+1)=x-5) है। इसकी डिग्री (1) है।

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Question 17/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

किस विकल्प में रेखीय बहुपद का शून्यक \(\frac{17}{8}\) है?

Which option has zero \(\frac{17}{8}\) for a linear polynomial?

Explanation opens after your attempt

Correct Answer

A. (8x-17)

Step 1

Concept

From (8x-17=0), we get \(x=\frac{17}{8}\). Set the polynomial equal to (0) to find the zero.

Step 2

Why this answer is correct

The correct answer is A. (8x-17). From (8x-17=0), we get \(x=\frac{17}{8}\). Set the polynomial equal to (0) to find the zero.

Step 3

Exam Tip

(8x-17=0) से \(x=\frac{17}{8}\) मिलता है। शून्यक के लिए बहुपद को (0) के बराबर रखें।

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Question 18/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=7x-10), तो (p(x+1)-p(x)) क्या है?

If (p(x)=7x-10), what is (p(x+1)-p(x))?

Explanation opens after your attempt

Correct Answer

B. (7)

Step 1

Concept

(p(x+1)=7x-3) and (p(x)=7x-10). The difference is (7).

Step 2

Why this answer is correct

The correct answer is B. (7). (p(x+1)=7x-3) and (p(x)=7x-10). The difference is (7).

Step 3

Exam Tip

(p(x+1)=7x-3) और (p(x)=7x-10) है। अंतर (7) मिलता है।

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Question 19/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=\lambda x+12) और इसका शून्यक (-3) से बड़ा है, तो \(\lambda>0\) होने पर कौन सी शर्त सही है?

If (p(x)=\lambda x+12) and its zero is greater than (-3), which condition is correct when \(\lambda>0\)?

Explanation opens after your attempt

Correct Answer

C. \(\lambda>4\)

Step 1

Concept

The zero is \(-\frac{12}{\lambda}\). From \(-\frac{12}{\lambda}>-3\) and \(\lambda>0\), we get \(\lambda>4\).

Step 2

Why this answer is correct

The correct answer is C. \(\lambda>4\). The zero is \(-\frac{12}{\lambda}\). From \(-\frac{12}{\lambda}>-3\) and \(\lambda>0\), we get \(\lambda>4\).

Step 3

Exam Tip

शून्यक \(-\frac{12}{\lambda}\) है। \(-\frac{12}{\lambda}>-3\) और \(\lambda>0\) से \(\lambda>4\) मिलता है।

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Question 20/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

किस विकल्प में (p(x)=ax+b) का शून्यक (6) होगा?

In which option will (p(x)=ax+b) have zero (6)?

Explanation opens after your attempt

Correct Answer

D. (b=-6a) और \(a\neq0\)(b=-6a) and \(a\neq0\)

Step 1

Concept

If the zero is (6), then (6a+b=0). So (b=-6a) and \(a\neq0\) are needed.

Step 2

Why this answer is correct

The correct answer is D. (b=-6a) और \(a\neq0\) / (b=-6a) and \(a\neq0\). If the zero is (6), then (6a+b=0). So (b=-6a) and \(a\neq0\) are needed.

Step 3

Exam Tip

शून्यक (6) होने पर (6a+b=0) होगा। इसलिए (b=-6a) और \(a\neq0\) चाहिए।

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Question 21/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

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

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

Explanation opens after your attempt

Correct Answer

A. (2x-s)

Step 1

Concept

On adding, (x+2s+x-3s=2x-s). Combine the (s)-terms like like terms.

Step 2

Why this answer is correct

The correct answer is A. (2x-s). On adding, (x+2s+x-3s=2x-s). Combine the (s)-terms like like terms.

Step 3

Exam Tip

जोड़ने पर (x+2s+x-3s=2x-s) मिलता है। (s) वाले पदों को भी समान पद की तरह मिलाएं।

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Question 22/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=x+2s) और (q(x)=x-3s), तो (p(x)-q(x)) किस प्रकार का बहुपद है?

If (p(x)=x+2s) and (q(x)=x-3s), what type of polynomial is (p(x)-q(x))?

Explanation opens after your attempt

Correct Answer

B. नियतांक बहुपदConstant polynomial

Step 1

Concept

(p(x)-q(x)=5s). With respect to (x), it is a constant polynomial.

Step 2

Why this answer is correct

The correct answer is B. नियतांक बहुपद / Constant polynomial. (p(x)-q(x)=5s). With respect to (x), it is a constant polynomial.

Step 3

Exam Tip

(p(x)-q(x)=5s) है। (x) के संदर्भ में यह नियतांक बहुपद है।

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Question 23/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=4x-11), तो (p(p(3))) का सही मान क्या है?

If (p(x)=4x-11), what is the correct value of (p(p(3)))?

Explanation opens after your attempt

Correct Answer

B. (-7)

Step 1

Concept

(p(3)=1) and (p(1)=4-11=-7). Find the inner value first.

Step 2

Why this answer is correct

The correct answer is B. (-7). (p(3)=1) and (p(1)=4-11=-7). Find the inner value first.

Step 3

Exam Tip

(p(3)=1) और (p(1)=4-11=-7) है। अंदर वाले मान को पहले निकालें।

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Question 24/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=5x+2), तो (p(p(0))) का मान क्या है?

If (p(x)=5x+2), what is the value of (p(p(0)))?

Explanation opens after your attempt

Correct Answer

C. (12)

Step 1

Concept

(p(0)=2) and (p(2)=12). In composition, find the inner value first.

Step 2

Why this answer is correct

The correct answer is C. (12). (p(0)=2) and (p(2)=12). In composition, find the inner value first.

Step 3

Exam Tip

(p(0)=2) और (p(2)=12) है। रचना में अंदर वाला मान पहले निकालें।

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Question 25/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

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

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

Explanation opens after your attempt

Correct Answer

A. \(n=\frac{2}{3}\)

Step 1

Concept

If the zero is (1), then (n-3+2n+1=0). Thus (3n-2=0) and \(n=\frac{2}{3}\).

Step 2

Why this answer is correct

The correct answer is A. \(n=\frac{2}{3}\). If the zero is (1), then (n-3+2n+1=0). Thus (3n-2=0) and \(n=\frac{2}{3}\).

Step 3

Exam Tip

शून्यक (1) होने पर (n-3+2n+1=0) होगा। इससे (3n-2=0) और \(n=\frac{2}{3}\) मिलता है।

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Question 26/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=\frac{x}{5}+a) और (p(15)=11), तो (a) का मान क्या है?

If (p(x)=\frac{x}{5}+a) and (p(15)=11), what is the value of (a)?

Explanation opens after your attempt

Correct Answer

B. (8)

Step 1

Concept

From (p(15)=3+a=11), we get (a=8). In fractional form, substitute the value of (x) first.

Step 2

Why this answer is correct

The correct answer is B. (8). From (p(15)=3+a=11), we get (a=8). In fractional form, substitute the value of (x) first.

Step 3

Exam Tip

(p(15)=3+a=11) से (a=8) मिलता है। भिन्न रूप में पहले (x) का मान रखें।

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Question 27/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=4x+a) और (q(x)=x-6), तो (p(x)+q(x)) का शून्यक (2) होने पर (a) क्या है?

If (p(x)=4x+a) and (q(x)=x-6), what is (a) if the zero of (p(x)+q(x)) is (2)?

Explanation opens after your attempt

Correct Answer

A. (-4)

Step 1

Concept

(p(x)+q(x)=5x+a-6). Substituting (x=2) gives (10+a-6=0), so (a=-4).

Step 2

Why this answer is correct

The correct answer is A. (-4). (p(x)+q(x)=5x+a-6). Substituting (x=2) gives (10+a-6=0), so (a=-4).

Step 3

Exam Tip

(p(x)+q(x)=5x+a-6) है। (x=2) रखने पर (10+a-6=0) से (a=-4) मिलता है।

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Question 28/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

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

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

Explanation opens after your attempt

Correct Answer

A. कोई मान नहींNo value

Step 1

Concept

From (-2(c+4)+2c=0), we get the impossible result (-8=0). Therefore there is no value.

Step 2

Why this answer is correct

The correct answer is A. कोई मान नहीं / No value. From (-2(c+4)+2c=0), we get the impossible result (-8=0). Therefore there is no value.

Step 3

Exam Tip

(-2(c+4)+2c=0) से (-8=0) जैसा असंभव परिणाम मिलता है। इसलिए कोई मान नहीं है।

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Question 29/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=(c+4)x+2c) का शून्यक (-1) है, तो (c) का सही मान क्या है?

If the zero of (p(x)=(c+4)x+2c) is (-1), what is the correct value of (c)?

Explanation opens after your attempt

Correct Answer

A. (c=4)

Step 1

Concept

From (-(c+4)+2c=0), we get (c-4=0). Hence (c=4).

Step 2

Why this answer is correct

The correct answer is A. (c=4). From (-(c+4)+2c=0), we get (c-4=0). Hence (c=4).

Step 3

Exam Tip

(-(c+4)+2c=0) से (c-4=0) मिलता है। अतः (c=4) है।

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Question 30/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=rx+3) और (p(4)=23), तो (p(-2)) का मान क्या है?

If (p(x)=rx+3) and (p(4)=23), what is the value of (p(-2))?

Explanation opens after your attempt

Correct Answer

B. (-7)

Step 1

Concept

From (4r+3=23), we get (r=5). Therefore (p(-2)=5(-2)+3=-7).

Step 2

Why this answer is correct

The correct answer is B. (-7). From (4r+3=23), we get (r=5). Therefore (p(-2)=5(-2)+3=-7).

Step 3

Exam Tip

(4r+3=23) से (r=5) मिलता है। इसलिए (p(-2)=5(-2)+3=-7) है।

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Question 31/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=ax-9) और (p(2)=p(6)-20), तो (a) क्या है?

If (p(x)=ax-9) and (p(2)=p(6)-20), what is (a)?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

From (2a-9=(6a-9)-20), we get (2a=6a-20). Therefore (a=5).

Step 2

Why this answer is correct

The correct answer is C. (5). From (2a-9=(6a-9)-20), we get (2a=6a-20). Therefore (a=5).

Step 3

Exam Tip

(2a-9=(6a-9)-20) से (2a=6a-20) मिलता है। इसलिए (a=5) है।

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

यदि (p(x)=4x-15), तो (p(a)=a) होने पर (a) क्या है?

If (p(x)=4x-15), what is (a) when (p(a)=a)?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

(p(a)=4a-15). From (4a-15=a), we get (a=5).

Step 2

Why this answer is correct

The correct answer is C. (5). (p(a)=4a-15). From (4a-15=a), we get (a=5).

Step 3

Exam Tip

(p(a)=4a-15) है। (4a-15=a) से (a=5) मिलता है।

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Question 33/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=mx+n), (p(0)=5) और (p(3)=14), तो (m+n) क्या है?

If (p(x)=mx+n), (p(0)=5) and (p(3)=14), what is (m+n)?

Explanation opens after your attempt

Correct Answer

C. (8)

Step 1

Concept

(p(0)=n=5) and (3m+5=14) gives (m=3). Therefore (m+n=8).

Step 2

Why this answer is correct

The correct answer is C. (8). (p(0)=n=5) and (3m+5=14) gives (m=3). Therefore (m+n=8).

Step 3

Exam Tip

(p(0)=n=5) और (3m+5=14) से (m=3) मिलता है। इसलिए (m+n=8) है।

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

यदि (p(x)=mx+n), (p(-1)=2) और (p(2)=11), तो (m) क्या है?

If (p(x)=mx+n), (p(-1)=2) and (p(2)=11), what is (m)?

Explanation opens after your attempt

Correct Answer

B. (3)

Step 1

Concept

Subtracting the two values gives (p(2)-p(-1)=3m=9). Therefore (m=3).

Step 2

Why this answer is correct

The correct answer is B. (3). Subtracting the two values gives (p(2)-p(-1)=3m=9). Therefore (m=3).

Step 3

Exam Tip

दोनों मान घटाने पर (p(2)-p(-1)=3m=9) मिलता है। इसलिए (m=3) है।

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

किस विकल्प में (p(4)=0) और (p(x)) रेखीय है?

Which option has (p(4)=0) and (p(x)) is linear?

Explanation opens after your attempt

Correct Answer

D. (p(x)=x-4)

Step 1

Concept

Substituting (x=4) in (x-4) gives (0). It is a linear polynomial of degree (1).

Step 2

Why this answer is correct

The correct answer is D. (p(x)=x-4). Substituting (x=4) in (x-4) gives (0). It is a linear polynomial of degree (1).

Step 3

Exam Tip

(x-4) में (x=4) रखने पर (0) मिलता है। यह डिग्री (1) वाला रेखीय बहुपद है।

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Question 36/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

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

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

Explanation opens after your attempt

Correct Answer

B. (-24)

Step 1

Concept

(p(-x)=-5x-12). Adding gives (5x-12-5x-12=-24).

Step 2

Why this answer is correct

The correct answer is B. (-24). (p(-x)=-5x-12). Adding gives (5x-12-5x-12=-24).

Step 3

Exam Tip

(p(-x)=-5x-12) है। जोड़ने पर (5x-12-5x-12=-24) मिलता है।

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Question 37/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

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

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

Explanation opens after your attempt

Correct Answer

A. (10x)

Step 1

Concept

(p(-x)=-5x-12). Subtracting gives (5x-12-(-5x-12)=10x).

Step 2

Why this answer is correct

The correct answer is A. (10x). (p(-x)=-5x-12). Subtracting gives (5x-12-(-5x-12)=10x).

Step 3

Exam Tip

(p(-x)=-5x-12) है। घटाने पर (5x-12-(-5x-12)=10x) मिलता है।

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Question 38/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

किस मान पर ((s^-5)x+3s) का शून्यक (0) होगा?

For which value will the zero of ((s^-5)x+3s) be (0)?

Explanation opens after your attempt

Correct Answer

A. (s=0)

Step 1

Concept

For the zero to be (0), the constant term (3s=0). At (s=0), the coefficient of (x) is (-5), so the polynomial is linear.

Step 2

Why this answer is correct

The correct answer is A. (s=0). For the zero to be (0), the constant term (3s=0). At (s=0), the coefficient of (x) is (-5), so the polynomial is linear.

Step 3

Exam Tip

शून्यक (0) होने के लिए नियतांक पद (3s=0) होना चाहिए। (s=0) पर (x) का गुणांक (-5) है इसलिए बहुपद रेखीय है।

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Question 39/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=4x+a) और (q(x)=6x-a), तो (p(x)+q(x)) का शून्यक (-2) होने पर (a) क्या है?

If (p(x)=4x+a) and (q(x)=6x-a), what is (a) if the zero of (p(x)+q(x)) is (-2)?

Explanation opens after your attempt

Correct Answer

A. कोई मान नहींNo value

Step 1

Concept

(p(x)+q(x)=10x), whose zero is (0). Therefore the zero cannot be (-2) for any (a).

Step 2

Why this answer is correct

The correct answer is A. कोई मान नहीं / No value. (p(x)+q(x)=10x), whose zero is (0). Therefore the zero cannot be (-2) for any (a).

Step 3

Exam Tip

(p(x)+q(x)=10x) है जिसका शून्यक (0) है। इसलिए शून्यक (-2) किसी (a) पर नहीं हो सकता।

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Question 40/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=4x+a) और (q(x)=6x-a), तो (q(x)-p(x)) क्या है?

If (p(x)=4x+a) and (q(x)=6x-a), what is (q(x)-p(x))?

Explanation opens after your attempt

Correct Answer

B. (2x-2a)

Step 1

Concept

(6x-a-(4x+a)=2x-2a). Change the signs inside the bracket while subtracting.

Step 2

Why this answer is correct

The correct answer is B. (2x-2a). (6x-a-(4x+a)=2x-2a). Change the signs inside the bracket while subtracting.

Step 3

Exam Tip

(6x-a-(4x+a)=2x-2a) है। घटाते समय कोष्ठक के चिन्ह बदलें।

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Question 41/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

किस विकल्प में ((3x-2)) और ((x+5)) का गुणनफल रेखीय नहीं है?

Which option correctly says that the product of ((3x-2)) and ((x+5)) is not linear?

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

In ((3x-2)(x+5)), the highest term is \(3x^2\). So the product has degree (2) and is not linear.

Step 2

Why this answer is correct

The correct answer is B. क्योंकि डिग्री (2) है / Because degree is (2). In ((3x-2)(x+5)), the highest term is \(3x^2\). So the product has degree (2) and is not linear.

Step 3

Exam Tip

((3x-2)(x+5)) में उच्चतम पद \(3x^2\) है। इसलिए गुणनफल की डिग्री (2) है और यह रेखीय नहीं है।

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Question 42/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=ax+4) और (p(p(0))=28), तो (a) क्या है?

If (p(x)=ax+4) and (p(p(0))=28), what is (a)?

Explanation opens after your attempt

Correct Answer

C. (6)

Step 1

Concept

(p(0)=4) and (p(4)=4a+4). From (4a+4=28), we get (a=6).

Step 2

Why this answer is correct

The correct answer is C. (6). (p(0)=4) and (p(4)=4a+4). From (4a+4=28), we get (a=6).

Step 3

Exam Tip

(p(0)=4) और (p(4)=4a+4) है। (4a+4=28) से (a=6) मिलता है।

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Question 43/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=x+a) और (p(p(2))=10), तो (a) का मान क्या है?

If (p(x)=x+a) and (p(p(2))=10), what is the value of (a)?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

(p(2)=2+a) and (p(2+a)=2+2a). From (2+2a=10), we get (a=4).

Step 2

Why this answer is correct

The correct answer is C. (4). (p(2)=2+a) and (p(2+a)=2+2a). From (2+2a=10), we get (a=4).

Step 3

Exam Tip

(p(2)=2+a) और (p(2+a)=2+2a) है। (2+2a=10) से (a=4) मिलता है।

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Question 44/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=mx+n) और (p(-2)=p(1)), तो (p(x)) रेखीय कब हो सकता है?

If (p(x)=mx+n) and (p(-2)=p(1)), when can (p(x)) be linear?

Explanation opens after your attempt

Correct Answer

C. कभी नहींNever

Step 1

Concept

From (p(-2)=p(1)), (-2m+n=m+n), so (m=0). At (m=0), the polynomial is not linear.

Step 2

Why this answer is correct

The correct answer is C. कभी नहीं / Never. From (p(-2)=p(1)), (-2m+n=m+n), so (m=0). At (m=0), the polynomial is not linear.

Step 3

Exam Tip

(p(-2)=p(1)) से (-2m+n=m+n) और (m=0) मिलता है। (m=0) पर बहुपद रेखीय नहीं रहता।

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Question 45/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

किस विकल्प में (p(x)=ax+b) का शून्यक (-7) होगा?

In which option will (p(x)=ax+b) have zero (-7)?

Explanation opens after your attempt

Correct Answer

A. (b=7a) और \(a\neq0\)(b=7a) and \(a\neq0\)

Step 1

Concept

If the zero is (-7), then (-7a+b=0). So (b=7a) and \(a\neq0\) are needed.

Step 2

Why this answer is correct

The correct answer is A. (b=7a) और \(a\neq0\) / (b=7a) and \(a\neq0\). If the zero is (-7), then (-7a+b=0). So (b=7a) and \(a\neq0\) are needed.

Step 3

Exam Tip

शून्यक (-7) होने पर (-7a+b=0) होगा। इसलिए (b=7a) और \(a\neq0\) चाहिए।

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Question 46/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=8x-3), तो (p(x+2)-p(x-1)) क्या है?

If (p(x)=8x-3), what is (p(x+2)-p(x-1))?

Explanation opens after your attempt

Correct Answer

C. (24)

Step 1

Concept

(p(x+2)=8x+13) and (p(x-1)=8x-11). The difference is (24).

Step 2

Why this answer is correct

The correct answer is C. (24). (p(x+2)=8x+13) and (p(x-1)=8x-11). The difference is (24).

Step 3

Exam Tip

(p(x+2)=8x+13) और (p(x-1)=8x-11) है। अंतर (24) है।

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Question 47/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=5x-14), तो (p(p(3))) का सही मान क्या है?

If (p(x)=5x-14), what is the correct value of (p(p(3)))?

Explanation opens after your attempt

Correct Answer

B. (-9)

Step 1

Concept

(p(3)=1) and (p(1)=5-14=-9). Find the inner value first.

Step 2

Why this answer is correct

The correct answer is B. (-9). (p(3)=1) and (p(1)=5-14=-9). Find the inner value first.

Step 3

Exam Tip

(p(3)=1) और (p(1)=5-14=-9) है। अंदर वाले मान को पहले निकालें।

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Question 48/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=6x+a) और (p(p(0))=42), तो (a) का मान क्या है?

If (p(x)=6x+a) and (p(p(0))=42), what is the value of (a)?

Explanation opens after your attempt

Correct Answer

A. (6)

Step 1

Concept

(p(0)=a) and (p(a)=6a+a=7a). From (7a=42), we get (a=6).

Step 2

Why this answer is correct

The correct answer is A. (6). (p(0)=a) and (p(a)=6a+a=7a). From (7a=42), we get (a=6).

Step 3

Exam Tip

(p(0)=a) और (p(a)=6a+a=7a) है। (7a=42) से (a=6) मिलता है।

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Question 49/50 Hard Mathematics Introduction to Polynomials Linear polynomials Class 9 Level 35

यदि (p(x)=mx+n), (p(-1)=4) और (p(3)=20), तो (m+n) क्या है?

If (p(x)=mx+n), (p(-1)=4) and (p(3)=20), what is (m+n)?

Explanation opens after your attempt

Correct Answer

C. (12)

Step 1

Concept

Subtracting the two equations gives (4m=16), so (m=4). Then (-m+n=4) gives (n=8), so (m+n=12).

Step 2

Why this answer is correct

The correct answer is C. (12). Subtracting the two equations gives (4m=16), so (m=4). Then (-m+n=4) gives (n=8), so (m+n=12).

Step 3

Exam Tip

दोनों समीकरण घटाने पर (4m=16) से (m=4) मिलता है। फिर (-m+n=4) से (n=8) और (m+n=12) है।

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

यदि (p(x)=9x-5), तो (p(x+1)+p(x-2)) क्या है?

If (p(x)=9x-5), what is (p(x+1)+p(x-2))?

Explanation opens after your attempt

Correct Answer

D. (18x-19)

Step 1

Concept

(p(x+1)=9x+4) and (p(x-2)=9x-23). Adding gives (18x-19).

Step 2

Why this answer is correct

The correct answer is D. (18x-19). (p(x+1)=9x+4) and (p(x-2)=9x-23). Adding gives (18x-19).

Step 3

Exam Tip

(p(x+1)=9x+4) और (p(x-2)=9x-23) है। जोड़ने पर (18x-19) मिलता है।

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Class 9 Mathematics - Exploring Algebraic Identities - Quadratic expressions Hard Quiz

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

Concept

Why this answer is correct

Exam Tip

किस मान पर (\(a^2-9\)x+11) रेखीय बहुपद नहीं रहेगा?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=(k-4)x+15) का शून्यक (-5) है, तो (k) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

किस मान पर ((2m+3)x-14) का शून्यक (2) होगा?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=ax+b) का शून्यक (5) है और (a=-2), तो (b) क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=6x+c) और (p(5)=p(2)+18), तो (c) के बारे में क्या सही है?

Concept

Why this answer is correct

Exam Tip

किस विकल्प में रेखीय बहुपद का शून्यक \(-\frac{7}{9}\) है?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=\frac{4}{9}x-8), तो किस मान पर (p(x)=0) होगा?

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=5x-8), तो (p(x-3)) क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=13-4x), तो (p(2x)) कौन सा है?

Concept

Why this answer is correct

Exam Tip

किस मान पर (\(t^2-6t+8\)x+(t-2)) रेखीय बहुपद नहीं रहेगा?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=kx+7) और (p(4)=p(-2)), तो (p(x)) रेखीय कब रहेगा?

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=4x+1) और (q(x)=9x-3), तो (q(x)-2p(x)) की डिग्री क्या है?

Concept

Why this answer is correct

Exam Tip

किस विकल्प में रेखीय बहुपद का शून्यक \(\frac{17}{8}\) है?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=7x-10), तो (p(x+1)-p(x)) क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=\lambda x+12) और इसका शून्यक (-3) से बड़ा है, तो \(\lambda>0\) होने पर कौन सी शर्त सही है?

Concept

Why this answer is correct

Exam Tip

किस विकल्प में (p(x)=ax+b) का शून्यक (6) होगा?

Concept

Why this answer is correct

किस मान पर ((s^-5)x+3s) का शून्यक (0) होगा?