Concept-wise Practice

square of difference MCQ Questions for Class 10

square of difference 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 square of difference.

((x-11)2) का सही विस्तार क्या है?

What is the correct expansion of ((x-11)2)?

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Correct Answer

A. \(x^2-22x+121\)

Step 1

Concept

((a-b)2=a-2-2ab+b-2). Therefore the middle term is (-22x).

Step 2

Why this answer is correct

The correct answer is A. \(x^2-22x+121\). ((a-b)2=a-2-2ab+b-2). Therefore the middle term is (-22x).

Step 3

Exam Tip

((a-b)2=a-2-2ab+b-2) होता है। इसलिए मध्य पद (-22x) है।

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((x-9)2) का सही विस्तार क्या है?

What is the correct expansion of ((x-9)2)?

Explanation opens after your attempt
Correct Answer

A. \(x^2-18x+81\)

Step 1

Concept

((a-b)2=a-2-2ab+b-2). Therefore the middle term is (-18x).

Step 2

Why this answer is correct

The correct answer is A. \(x^2-18x+81\). ((a-b)2=a-2-2ab+b-2). Therefore the middle term is (-18x).

Step 3

Exam Tip

((a-b)2=a-2-2ab+b-2) होता है। इसलिए मध्य पद (-18x) है।

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((x-6)2) का सही विस्तार क्या है?

What is the correct expansion of ((x-6)2)?

Explanation opens after your attempt
Correct Answer

A. \(x^2-12x+36\)

Step 1

Concept

((a-b)2=a-2-2ab+b-2). Therefore the middle term is (-12x).

Step 2

Why this answer is correct

The correct answer is A. \(x^2-12x+36\). ((a-b)2=a-2-2ab+b-2). Therefore the middle term is (-12x).

Step 3

Exam Tip

((a-b)2=a-2-2ab+b-2) होता है। इसलिए मध्य पद (-12x) है।

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यदि \(x=\sqrt{5}-\sqrt{2}\), तो \(x^2\) कौन-सा होगा?

If \(x=\sqrt{5}-\sqrt{2}\), what is \(x^2\)?

Explanation opens after your attempt
Correct Answer

A. \(7-2\sqrt{10}\)

Step 1

Concept

Use ((a-b)2=a-2-2ab+b-2).

Step 2

Why this answer is correct

\(x^2=5-2\sqrt{10}+2=7-2\sqrt{10}\).

Step 3

Exam Tip

Do not forget the negative sign in the middle term when squaring a difference. चरण 1: ((a-b)2=a-2-2ab+b-2) का प्रयोग करें। चरण 2: \(x^2=5-2\sqrt{10}+2=7-2\sqrt{10}\)। चरण 3: अंतर के वर्ग में बीच वाले पद का ऋण चिह्न न भूलें।

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