Concept-wise Practice

zero condition MCQ Questions for Class 10

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

Practice Questions

4 questions tagged with zero condition.

यदि (p(x)=ax-2+4x-12) और (x=2) इसका शून्य है, तो (a) क्या होगा?

If (p(x)=ax-2+4x-12) and (x=2) is its zero, what is (a)?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

(p(2)=4a+8-12=0), so (4a=4) and (a=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)=4a+8-12=0), so (4a=4) and (a=1). When a zero is given, set the polynomial value equal to (0).

Step 3

Exam Tip

(p(2)=4a+8-12=0), इसलिए (4a=4) और (a=1)। शून्य दिए होने पर बहुपद का मान (0) रखें।

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यदि (p(x)=x-2+kx-15) और (p(3)=0), तो (k) क्या है?

If (p(x)=x-2+kx-15) and (p(3)=0), what is (k)?

Explanation opens after your attempt
Correct Answer

A. (2)

Step 1

Concept

(p(3)=9+3k-15=0), so (3k=6) and (k=2). Use the zero condition to find the unknown.

Step 2

Why this answer is correct

The correct answer is A. (2). (p(3)=9+3k-15=0), so (3k=6) and (k=2). Use the zero condition to find the unknown.

Step 3

Exam Tip

(p(3)=9+3k-15=0), इसलिए (3k=6) और (k=2)। शून्य की शर्त लगाकर अज्ञात निकालें।

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यदि (p(x)=kx-2+6x+9) और (p(-3)=0), तो (k) क्या है?

If (p(x)=kx-2+6x+9) and (p(-3)=0), what is (k)?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

(p(-3)=9k-18+9=0), so (9k-9=0) and (k=1). Substitute the given zero to find the unknown coefficient.

Step 2

Why this answer is correct

The correct answer is A. (1). (p(-3)=9k-18+9=0), so (9k-9=0) and (k=1). Substitute the given zero to find the unknown coefficient.

Step 3

Exam Tip

(p(-3)=9k-18+9=0), इसलिए (9k-9=0) और (k=1)। दिए गए शून्य को रखकर अज्ञात गुणांक निकालें।

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यदि (p(x)=x-2+kx+6) और (p(2)=0), तो (k) क्या है?

If (p(x)=x-2+kx+6) and (p(2)=0), what is (k)?

Explanation opens after your attempt
Correct Answer

A. (-5)

Step 1

Concept

(p(2)=4+2k+6=0), so (2k=-10) and (k=-5). Substitute the zero and form an equation.

Step 2

Why this answer is correct

The correct answer is A. (-5). (p(2)=4+2k+6=0), so (2k=-10) and (k=-5). Substitute the zero and form an equation.

Step 3

Exam Tip

(p(2)=4+2k+6=0), इसलिए (2k=-10) और (k=-5)। शून्य की शर्त में मान रखकर समीकरण बनाएं।

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