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difference-expression MCQ Questions for Class 10

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3 questions tagged with difference-expression.

Question 1/3 Expert Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 33

यदि \(x^2+10x+21=0\) की जड़ें \(\alpha,\beta\) हैं, तो (\(\alpha-\beta\)2+4\alpha\beta) का मान क्या है?

If \(\alpha,\beta\) are roots of \(x^2+10x+21=0\), what is (\(\alpha-\beta\)2+4\alpha\beta)?

Explanation opens after your attempt
Correct Answer

A. (100)

Step 1

Concept

We know (\(\alpha-\beta\)2=\(\alpha+\beta\)2-4\alpha\beta). Hence (\(\alpha-\beta\)2+4\alpha\beta=\(\alpha+\beta\)2=100).

Step 2

Why this answer is correct

The correct answer is A. (100). We know (\(\alpha-\beta\)2=\(\alpha+\beta\)2-4\alpha\beta). Hence (\(\alpha-\beta\)2+4\alpha\beta=\(\alpha+\beta\)2=100).

Step 3

Exam Tip

(\(\alpha-\beta\)2=\(\alpha+\beta\)2-4\alpha\beta) होता है। इसलिए (\(\alpha-\beta\)2+4\alpha\beta=\(\alpha+\beta\)2=100)।

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Question 2/3 Expert Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 32

यदि \(x^2+8x+12=0\) की जड़ें \(\alpha,\beta\) हैं, तो (\(\alpha-\beta\)2+3\alpha\beta) का मान क्या है?

If \(\alpha,\beta\) are roots of \(x^2+8x+12=0\), what is (\(\alpha-\beta\)2+3\alpha\beta)?

Explanation opens after your attempt
Correct Answer

C. (52)

Step 1

Concept

Here (\(\alpha-\beta\)2=\(\alpha+\beta\)2-4\alpha\beta=64-48=16). Therefore (16+3(12)=52).

Step 2

Why this answer is correct

The correct answer is C. (52). Here (\(\alpha-\beta\)2=\(\alpha+\beta\)2-4\alpha\beta=64-48=16). Therefore (16+3(12)=52).

Step 3

Exam Tip

(\(\alpha-\beta\)2=\(\alpha+\beta\)2-4\alpha\beta=64-48=16) है। इसलिए (16+3(12)=52)।

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Question 3/3 Expert Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31

यदि \(x^2+6x+8=0\) की जड़ें \(\alpha,\beta\) हैं, तो (\(\alpha-\beta\)2+2\alpha\beta) का मान क्या है?

If \(\alpha,\beta\) are roots of \(x^2+6x+8=0\), what is (\(\alpha-\beta\)2+2\alpha\beta)?

Explanation opens after your attempt
Correct Answer

A. (20)

Step 1

Concept

Here (\(\alpha-\beta\)2=\(\alpha+\beta\)2-4\alpha\beta=36-32=4). Then (4+2(8)=20).

Step 2

Why this answer is correct

The correct answer is A. (20). Here (\(\alpha-\beta\)2=\(\alpha+\beta\)2-4\alpha\beta=36-32=4). Then (4+2(8)=20).

Step 3

Exam Tip

(\(\alpha-\beta\)2=\(\alpha+\beta\)2-4\alpha\beta=36-32=4) है। फिर (4+2(8)=20) मिलता है।

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