Concept-wise Practice

zero MCQ Questions for Class 10

zero se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

111 questions tagged with zero.

यदि (p(x)=x-2-10x+21), तो (p(7)) का मान क्या है?

If (p(x)=x-2-10x+21), what is the value of (p(7))?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p(7)=49-70+21=0), so (7) is a zero of this polynomial. Simplify all terms in order after substitution.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(7)=49-70+21=0), so (7) is a zero of this polynomial. Simplify all terms in order after substitution.

Step 3

Exam Tip

(p(7)=49-70+21=0), इसलिए (7) इस बहुपद का शून्य है। मान रखते समय सभी पदों को क्रम से सरल करें।

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(p(x)=x-3-2x-2-5x+6) के लिए कौन सा मान (p(x)=0) बनाता है?

For (p(x)=x-3-2x-2-5x+6), which value makes (p(x)=0)?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

(p(1)=1-2-5+6=0), so (1) is a zero of this polynomial. Substituting options is a quick method.

Step 2

Why this answer is correct

The correct answer is A. (1). (p(1)=1-2-5+6=0), so (1) is a zero of this polynomial. Substituting options is a quick method.

Step 3

Exam Tip

(p(1)=1-2-5+6=0), इसलिए (1) इस बहुपद का शून्य है। विकल्पों को रखकर जांचना तेज तरीका है।

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(p(x)=9x-2-12x+4) में (p\left\(\frac{2}{3}\right\)) का मान क्या है?

What is the value of (p\left\(\frac{2}{3}\right\)) for (p(x)=9x-2-12x+4)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p\left\(\frac{2}{3}\right\)=9\cdot\frac{4}{9}-8+4=0). While substituting a fraction, square and multiply carefully.

Step 2

Why this answer is correct

The correct answer is A. (0). (p\left\(\frac{2}{3}\right\)=9\cdot\frac{4}{9}-8+4=0). While substituting a fraction, square and multiply carefully.

Step 3

Exam Tip

(p\left\(\frac{2}{3}\right\)=9\cdot\frac{4}{9}-8+4=0)। भिन्न मान रखते समय वर्ग और गुणा सावधानी से करें।

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(p(x)=4x+20) का शून्य कौन सा है?

Which is the zero of (p(x)=4x+20)?

Explanation opens after your attempt
Correct Answer

B. (-5)

Step 1

Concept

From (4x+20=0), we get (x=-5). A zero is the value that makes the polynomial equal to (0).

Step 2

Why this answer is correct

The correct answer is B. (-5). From (4x+20=0), we get (x=-5). A zero is the value that makes the polynomial equal to (0).

Step 3

Exam Tip

(4x+20=0) से (x=-5) मिलता है। शून्य वह मान है जिससे बहुपद (0) हो जाए।

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बहुपद (p(x)=3x-2-10x+7) में (x=1) रखने पर क्या निष्कर्ष है?

What conclusion follows when (x=1) is substituted in (p(x)=3x-2-10x+7)?

Explanation opens after your attempt
Correct Answer

A. (1) शून्य है(1) is a zero

Step 1

Concept

(p(1)=3-10+7=0), so (1) is a zero. For a zero, the polynomial value must be (0).

Step 2

Why this answer is correct

The correct answer is A. (1) शून्य है / (1) is a zero. (p(1)=3-10+7=0), so (1) is a zero. For a zero, the polynomial value must be (0).

Step 3

Exam Tip

(p(1)=3-10+7=0), इसलिए (1) शून्य है। शून्य के लिए बहुपद का मान (0) आना चाहिए।

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किस मान के लिए \(x^2-6x+m\) में (x=2) शून्य होगा?

For what value of (m) will (x=2) be a zero of \(x^2-6x+m\)?

Explanation opens after your attempt
Correct Answer

B. (8)

Step 1

Concept

(4-12+m=0), so (m=8). When a zero is given, set the polynomial value equal to (0).

Step 2

Why this answer is correct

The correct answer is B. (8). (4-12+m=0), so (m=8). When a zero is given, set the polynomial value equal to (0).

Step 3

Exam Tip

(4-12+m=0), इसलिए (m=8)। शून्य दिए होने पर बहुपद का मान (0) रखें।

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(p(x)=x-3-4x-2+x+6) में (p(-1)) का मान क्या है?

What is the value of (p(-1)) in (p(x)=x-3-4x-2+x+6)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p(-1)=-1-4-1+6=0). Therefore (-1) is a zero of this polynomial.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(-1)=-1-4-1+6=0). Therefore (-1) is a zero of this polynomial.

Step 3

Exam Tip

(p(-1)=-1-4-1+6=0)। इसलिए (-1) इस बहुपद का शून्य है।

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(p(x)=x-2-7x+12) के लिए (p(3)) क्या है?

For (p(x)=x-2-7x+12), what is (p(3))?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p(3)=9-21+12=0). Hence (3) is a zero of this polynomial.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(3)=9-21+12=0). Hence (3) is a zero of this polynomial.

Step 3

Exam Tip

(p(3)=9-21+12=0)। इसलिए (3) इस बहुपद का शून्य है।

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(x=-3) किस बहुपद का शून्य है?

For which polynomial is (x=-3) a zero?

Explanation opens after your attempt
Correct Answer

A. (p(x)=x+3)

Step 1

Concept

(p(-3)=-3+3=0), so (x=-3) is its zero. To test a zero, substitute the value and check for (0).

Step 2

Why this answer is correct

The correct answer is A. (p(x)=x+3). (p(-3)=-3+3=0), so (x=-3) is its zero. To test a zero, substitute the value and check for (0).

Step 3

Exam Tip

(p(-3)=-3+3=0), इसलिए (x=-3) इसका शून्य है। शून्य जांचने के लिए मान रखकर परिणाम (0) देखें।

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यदि (p(x)=x-2-16), तो (p(4)) का मान क्या है?

If (p(x)=x-2-16), what is the value of (p(4))?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p(4)=42-16=0). Hence (4) is a zero of this polynomial.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(4)=42-16=0). Hence (4) is a zero of this polynomial.

Step 3

Exam Tip

(p(4)=42-16=0)। इसलिए (4) इस बहुपद का शून्य है।

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यदि (p(x)=x-2-ax+12) और (p(3)=0), तो (a) का मान क्या है?

If (p(x)=x-2-ax+12) and (p(3)=0), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

C. (7)

Step 1

Concept

(9-3a+12=0) gives (21-3a=0). Therefore (a=7).

Step 2

Why this answer is correct

The correct answer is C. (7). (9-3a+12=0) gives (21-3a=0). Therefore (a=7).

Step 3

Exam Tip

(9-3a+12=0) से (21-3a=0) मिलता है। इसलिए (a=7) है।

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

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

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p(1)=1-2+1=0). Therefore (1) is a zero of this polynomial.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(1)=1-2+1=0). Therefore (1) is a zero of this polynomial.

Step 3

Exam Tip

(p(1)=1-2+1=0) है। इसलिए (1) इस बहुपद का शून्य है।

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यदि (p(x)=x-2+px+16) और (4) इसका शून्य है, तो (p) का मान क्या है?

If (4) is a zero of (p(x)=x-2+px+16), what is the value of (p)?

Explanation opens after your attempt
Correct Answer

A. (-8)

Step 1

Concept

\(4^2+4p+16=0\) gives (32+4p=0). Therefore (p=-8).

Step 2

Why this answer is correct

The correct answer is A. (-8). \(4^2+4p+16=0\) gives (32+4p=0). Therefore (p=-8).

Step 3

Exam Tip

\(4^2+4p+16=0\) से (32+4p=0) मिलता है। इसलिए (p=-8) है।

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यदि (p(x)=3x-2+2x-1), तो (p\left\(\frac{1}{3}\right\)) का मान क्या है?

If (p(x)=3x-2+2x-1), what is the value of (p\left\(\frac{1}{3}\right\))?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p\left\(\frac{1}{3}\right\)=3\left\(\frac{1}{3}\right\)2+2\left\(\frac{1}{3}\right\)-1=0). Use brackets while substituting fractions.

Step 2

Why this answer is correct

The correct answer is A. (0). (p\left\(\frac{1}{3}\right\)=3\left\(\frac{1}{3}\right\)2+2\left\(\frac{1}{3}\right\)-1=0). Use brackets while substituting fractions.

Step 3

Exam Tip

(p\left\(\frac{1}{3}\right\)=3\left\(\frac{1}{3}\right\)2+2\left\(\frac{1}{3}\right\)-1=0) है। भिन्न रखते समय कोष्ठक लगाएँ।

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यदि (p(x)=4x-12), तो किस मान पर (p(x)=0) होगा?

If (p(x)=4x-12), for which value will (p(x)=0)?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

From (4x-12=0), we get (4x=12) and (x=3). This is the zero of the polynomial.

Step 2

Why this answer is correct

The correct answer is B. (3). From (4x-12=0), we get (4x=12) and (x=3). This is the zero of the polynomial.

Step 3

Exam Tip

(4x-12=0) से (4x=12) और (x=3) मिलता है। यह बहुपद का शून्य है।

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

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

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p(3)=2(3)2-7(3)+3=18-21+3=0). Hence (3) is its zero.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(3)=2(3)2-7(3)+3=18-21+3=0). Hence (3) is its zero.

Step 3

Exam Tip

(p(3)=2(3)2-7(3)+3=18-21+3=0) है। अतः (3) इसका शून्य है।

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यदि (p(x)=kx+12) का शून्य (3) है, तो (k) का मान क्या है?

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

Explanation opens after your attempt
Correct Answer

B. (-4)

Step 1

Concept

From (p(3)=0), we get (3k+12=0). Therefore (k=-4).

Step 2

Why this answer is correct

The correct answer is B. (-4). From (p(3)=0), we get (3k+12=0). Therefore (k=-4).

Step 3

Exam Tip

(p(3)=0) से (3k+12=0) मिलता है। इसलिए (k=-4) है।

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यदि (r(x)=x-3-4x), तो (r(-2)) का मान क्या है?

If (r(x)=x-3-4x), what is the value of (r(-2))?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(r(-2)=(-2)3-4(-2)=-8+8=0). Brackets are important for negative values.

Step 2

Why this answer is correct

The correct answer is A. (0). (r(-2)=(-2)3-4(-2)=-8+8=0). Brackets are important for negative values.

Step 3

Exam Tip

(r(-2)=(-2)3-4(-2)=-8+8=0) है। ऋणात्मक मानों में कोष्ठक लगाना जरूरी है।

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यदि (p(x)=3x-2+bx-10) में (x=2) एक शून्य है, तो (b) का मान क्या होगा?

If (x=2) is a zero of (p(x)=3x-2+bx-10), what will be the value of (b)?

Explanation opens after your attempt
Correct Answer

A. (-1)

Step 1

Concept

(p(2)=12+2b-10=0), so (2b=-2) and (b=-1). When a zero is given, set the polynomial value equal to (0).

Step 2

Why this answer is correct

The correct answer is A. (-1). (p(2)=12+2b-10=0), so (2b=-2) and (b=-1). When a zero is given, set the polynomial value equal to (0).

Step 3

Exam Tip

(p(2)=12+2b-10=0), इसलिए (2b=-2) और (b=-1)। शून्य दिए होने पर बहुपद का मान (0) रखें।

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बहुपद (p(x)=x-3-3x-2+3x-1) का कौन सा मान (0) देता है?

Which value gives (0) for the polynomial (p(x)=x-3-3x-2+3x-1)?

Explanation opens after your attempt
Correct Answer

B. (1)

Step 1

Concept

(p(1)=1-3+3-1=0), so (1) is a zero of this polynomial. Substituting options can quickly identify the zero.

Step 2

Why this answer is correct

The correct answer is B. (1). (p(1)=1-3+3-1=0), so (1) is a zero of this polynomial. Substituting options can quickly identify the zero.

Step 3

Exam Tip

(p(1)=1-3+3-1=0), इसलिए (1) इस बहुपद का शून्य है। विकल्पों को रखने से शून्य जल्दी मिल सकता है।

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(p(x)=x+9) का शून्य क्या है?

What is the zero of (p(x)=x+9)?

Explanation opens after your attempt
Correct Answer

B. (-9)

Step 1

Concept

Setting (x+9=0) gives (x=-9). The zero of (x+a) is (-a).

Step 2

Why this answer is correct

The correct answer is B. (-9). Setting (x+9=0) gives (x=-9). The zero of (x+a) is (-a).

Step 3

Exam Tip

(x+9=0) करने पर (x=-9) मिलता है। (x+a) का शून्य (-a) होता है।

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(p(x)=4x-2-12x+9) में (p\left\(\frac{3}{2}\right\)) का मान क्या है?

What is the value of (p\left\(\frac{3}{2}\right\)) for (p(x)=4x-2-12x+9)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p\left\(\frac{3}{2}\right\)=4\cdot\frac{9}{4}-18+9=0). While substituting a fraction, square it carefully first.

Step 2

Why this answer is correct

The correct answer is A. (0). (p\left\(\frac{3}{2}\right\)=4\cdot\frac{9}{4}-18+9=0). While substituting a fraction, square it carefully first.

Step 3

Exam Tip

(p\left\(\frac{3}{2}\right\)=4\cdot\frac{9}{4}-18+9=0)। भिन्न मान रखते समय पहले वर्ग ठीक से निकालें।

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(p(x)=3x+12) का शून्य कौन सा है?

Which is the zero of (p(x)=3x+12)?

Explanation opens after your attempt
Correct Answer

B. (-4)

Step 1

Concept

From (3x+12=0), we get (x=-4). A zero is the value that makes the polynomial equal to (0).

Step 2

Why this answer is correct

The correct answer is B. (-4). From (3x+12=0), we get (x=-4). A zero is the value that makes the polynomial equal to (0).

Step 3

Exam Tip

(3x+12=0) से (x=-4) मिलता है। शून्य वह मान है जिससे बहुपद (0) हो जाए।

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बहुपद (p(x)=2x-2-3x+1) में (x=1) रखने पर क्या निष्कर्ष है?

What conclusion follows when (x=1) is substituted in (p(x)=2x-2-3x+1)?

Explanation opens after your attempt
Correct Answer

A. (1) शून्य है(1) is a zero

Step 1

Concept

(p(1)=2-3+1=0), so (1) is a zero. For a zero, the result must be (0).

Step 2

Why this answer is correct

The correct answer is A. (1) शून्य है / (1) is a zero. (p(1)=2-3+1=0), so (1) is a zero. For a zero, the result must be (0).

Step 3

Exam Tip

(p(1)=2-3+1=0), इसलिए (1) शून्य है। शून्य के लिए परिणाम (0) होना चाहिए।

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किस मान के लिए \(x^2-4x+m\) में (x=1) शून्य होगा?

For what value of (m) will (x=1) be a zero of \(x^2-4x+m\)?

Explanation opens after your attempt
Correct Answer

C. (3)

Step 1

Concept

(1-4+m=0), so (m=3). When a zero is given, set the polynomial value equal to (0).

Step 2

Why this answer is correct

The correct answer is C. (3). (1-4+m=0), so (m=3). When a zero is given, set the polynomial value equal to (0).

Step 3

Exam Tip

(1-4+m=0), इसलिए (m=3)। शून्य मिलने पर बहुपद का मान (0) रखें।

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(p(x)=x-3-6x-2+11x-6) में (p(1)) का मान क्या है?

What is the value of (p(1)) in (p(x)=x-3-6x-2+11x-6)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p(1)=1-6+11-6=0). Therefore (1) is a zero of this polynomial.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(1)=1-6+11-6=0). Therefore (1) is a zero of this polynomial.

Step 3

Exam Tip

(p(1)=1-6+11-6=0)। इसलिए (1) इस बहुपद का शून्य है।

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(p(x)=x-2+2x-8) के लिए (p(2)) क्या है?

For (p(x)=x-2+2x-8), what is (p(2))?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p(2)=4+4-8=0). Hence (2) is a zero of this polynomial.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(2)=4+4-8=0). Hence (2) is a zero of this polynomial.

Step 3

Exam Tip

(p(2)=4+4-8=0)। इसलिए (2) इस बहुपद का शून्य है।

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(x=2) किस बहुपद का शून्य है?

For which polynomial is (x=2) a zero?

Explanation opens after your attempt
Correct Answer

A. (p(x)=x-2)

Step 1

Concept

(p(2)=2-2=0), so (x=2) is its zero. To test a zero, substitute and check for (0).

Step 2

Why this answer is correct

The correct answer is A. (p(x)=x-2). (p(2)=2-2=0), so (x=2) is its zero. To test a zero, substitute and check for (0).

Step 3

Exam Tip

(p(2)=2-2=0), इसलिए (x=2) इसका शून्य है। शून्य जांचने के लिए मान रखकर (0) देखें।

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(p(x)=x-6) का शून्य क्या है?

What is the zero of (p(x)=x-6)?

Explanation opens after your attempt
Correct Answer

A. (6)

Step 1

Concept

Setting (x-6=0) gives (x=6). The zero of (x-a) is (a).

Step 2

Why this answer is correct

The correct answer is A. (6). Setting (x-6=0) gives (x=6). The zero of (x-a) is (a).

Step 3

Exam Tip

(x-6=0) करने पर (x=6) आता है। (x-a) का शून्य (a) होता है।

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

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

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p(-2)=(-2)2+4(-2)+4=4-8+4=0). Be careful with signs when substituting a negative value.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(-2)=(-2)2+4(-2)+4=4-8+4=0). Be careful with signs when substituting a negative value.

Step 3

Exam Tip

(p(-2)=(-2)2+4(-2)+4=4-8+4=0) है। ऋणात्मक मान रखते समय चिह्न सावधानी से लिखें।

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