Concept-wise Practice

mixed-terms MCQ Questions for Class 9

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

Practice Questions

6 questions tagged with mixed-terms.

( (x+y+z)2 ) में \(x^2+y^2+z^2\) हटाने पर क्या बचेगा?

What remains when \(x^2+y^2+z^2\) is removed from ( (x+y+z)2 )?

Explanation opens after your attempt
Correct Answer

B. (2xy+2yz+2zx)

Step 1

Concept

The extra mixed terms in the square of three terms are (2xy+2yz+2zx). Exam tip: write all three mixed terms.

Step 2

Why this answer is correct

The correct answer is B. (2xy+2yz+2zx). The extra mixed terms in the square of three terms are (2xy+2yz+2zx). Exam tip: write all three mixed terms.

Step 3

Exam Tip

तीन पदों के वर्ग में अतिरिक्त मिश्र पद (2xy+2yz+2zx) होते हैं। परीक्षा में सभी तीन मिश्र पद लिखें।

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( (2a+b+c)2 ) में (2bc) के अलावा कौन से मिश्र पद आते हैं?

In ( (2a+b+c)2 ), which mixed terms come besides (2bc)?

Explanation opens after your attempt
Correct Answer

A. (4ab) और (4ac)(4ab) and (4ac)

Step 1

Concept

The mixed terms are (2(2a)(b)=4ab) and (2(2a)(c)=4ac). Exam tip: form mixed terms with coefficients.

Step 2

Why this answer is correct

The correct answer is A. (4ab) और (4ac) / (4ab) and (4ac). The mixed terms are (2(2a)(b)=4ab) and (2(2a)(c)=4ac). Exam tip: form mixed terms with coefficients.

Step 3

Exam Tip

मिश्र पद (2(2a)(b)=4ab) और (2(2a)(c)=4ac) होते हैं। परीक्षा में गुणांक सहित मिश्र पद बनाएँ।

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( (a+b+c)2-\(a^2+b^2+c^2\) ) का मान क्या है?

What is the value of ( (a+b+c)2-\(a^2+b^2+c^2\) )?

Explanation opens after your attempt
Correct Answer

B. (2ab+2bc+2ca)

Step 1

Concept

In the square of three terms, the extra mixed terms are (2ab+2bc+2ca). Exam tip: remember all three pairs.

Step 2

Why this answer is correct

The correct answer is B. (2ab+2bc+2ca). In the square of three terms, the extra mixed terms are (2ab+2bc+2ca). Exam tip: remember all three pairs.

Step 3

Exam Tip

तीन पदों के वर्ग में अतिरिक्त मिश्र पद (2ab+2bc+2ca) होते हैं। परीक्षा में सभी तीन जोड़े याद रखें।

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( (a+3b+c)2 ) में (6ab) किससे आता है?

In ( (a+3b+c)2 ), where does (6ab) come from?

Explanation opens after your attempt
Correct Answer

B. \(2\times a\times3b\) सेFrom \(2\times a\times3b\)

Step 1

Concept

In the square of three terms, twice the product of each pair appears. Exam tip: identify the pair for mixed terms.

Step 2

Why this answer is correct

The correct answer is B. \(2\times a\times3b\) से / From \(2\times a\times3b\). In the square of three terms, twice the product of each pair appears. Exam tip: identify the pair for mixed terms.

Step 3

Exam Tip

तीन पदों के वर्ग में हर जोड़े का दुगुना गुणन आता है। परीक्षा में मिश्र पदों की जोड़ी पहचानें।

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( (x+y+z)2 ) में (2xy) के साथ कौन से और मिश्र पद आते हैं?

In ( (x+y+z)2 ), which other mixed terms come with (2xy)?

Explanation opens after your attempt
Correct Answer

A. (2xz) और (2yz)(2xz) and (2yz)

Step 1

Concept

In the square of three terms, mixed terms are (2xy), (2yz), and (2zx). Exam tip: include all pairs.

Step 2

Why this answer is correct

The correct answer is A. (2xz) और (2yz) / (2xz) and (2yz). In the square of three terms, mixed terms are (2xy), (2yz), and (2zx). Exam tip: include all pairs.

Step 3

Exam Tip

तीन पदों के वर्ग में मिश्र पद (2xy), (2yz), और (2zx) होते हैं। परीक्षा में सभी जोड़ों को शामिल करें।

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\(2x^2+3xy-4x^2+5xy\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(2x^2+3xy-4x^2+5xy\)?

Explanation opens after your attempt
Correct Answer

A. \(-2x^2+8xy\)

Step 1

Concept

\(2x^2-4x^2=-2x^2\) and (3xy+5xy=8xy). Combine terms with the same variable part.

Step 2

Why this answer is correct

The correct answer is A. \(-2x^2+8xy\). \(2x^2-4x^2=-2x^2\) and (3xy+5xy=8xy). Combine terms with the same variable part.

Step 3

Exam Tip

\(2x^2-4x^2=-2x^2\) और (3xy+5xy=8xy)। समान चर भाग वाले पदों को मिलाएँ।

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