Concept-wise Practice

binomial factor MCQ Questions for Class 9

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

Practice Questions

3 questions tagged with binomial factor.

(ab-ac+db-dc) का गुणनखंडन कौन सा है?

Which is the factorisation of (ab-ac+db-dc)?

Explanation opens after your attempt
Correct Answer

A. ((a+d)(b-c))

Step 1

Concept

Group as (a(b-c)+d(b-c)). Taking common ((b-c)) gives ((a+d)(b-c)).

Step 2

Why this answer is correct

The correct answer is A. ((a+d)(b-c)). Group as (a(b-c)+d(b-c)). Taking common ((b-c)) gives ((a+d)(b-c)).

Step 3

Exam Tip

समूह बनाकर (a(b-c)+d(b-c)) लिखें। समान ((b-c)) निकालने पर ((a+d)(b-c)) मिलता है।

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\(9a^2-16b^2+6a-8b\) में कौन सा गुणनखंडन सही है?

Which factorisation is correct for \(9a^2-16b^2+6a-8b\)?

Explanation opens after your attempt
Correct Answer

B. ((3a-4b)(3a+4b+2))

Step 1

Concept

By grouping write ((3a-4b)(3a+4b)+2(3a-4b)). Take common ((3a-4b)).

Step 2

Why this answer is correct

The correct answer is B. ((3a-4b)(3a+4b+2)). By grouping write ((3a-4b)(3a+4b)+2(3a-4b)). Take common ((3a-4b)).

Step 3

Exam Tip

समूह बनाकर ((3a-4b)(3a+4b)+2(3a-4b)) लिख सकते हैं। समान ((3a-4b)) निकालें।

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(px-py+qx-qy) में सही गुणनखंड कौन से हैं?

What are the correct factors of (px-py+qx-qy)?

Explanation opens after your attempt
Correct Answer

B. ((p+q)(x-y))

Step 1

Concept

Grouping gives (p(x-y)+q(x-y)). Taking common ((x-y)) gives ((p+q)(x-y)).

Step 2

Why this answer is correct

The correct answer is B. ((p+q)(x-y)). Grouping gives (p(x-y)+q(x-y)). Taking common ((x-y)) gives ((p+q)(x-y)).

Step 3

Exam Tip

समूह बनाने पर (p(x-y)+q(x-y)) मिलता है। इसलिए समान ((x-y)) निकालकर ((p+q)(x-y)) मिलेगा।

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