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5 results found for "squares-sum" in Class 10.

Question Expert Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30

समीकरण \(6x^2+7x+2=0\) में मूलों के वर्गों का योग क्या है?

What is the sum of squares of the roots of \(6x^2+7x+2=0\)?

Explanation opens after your attempt
Correct Answer

A. \( \frac{25}{36} \)

Step 1

Concept

(\alpha-2+\beta-2=\(\alpha+\beta\)2-2\alpha\beta). Here (\left\(-\frac{7}{6}\right\)2-2\cdot\frac{1}{3}=\frac{25}{36}).

Step 2

Why this answer is correct

The correct answer is A. \( \frac{25}{36} \). (\alpha-2+\beta-2=\(\alpha+\beta\)2-2\alpha\beta). Here (\left\(-\frac{7}{6}\right\)2-2\cdot\frac{1}{3}=\frac{25}{36}).

Step 3

Exam Tip

(\alpha-2+\beta-2=\(\alpha+\beta\)2-2\alpha\beta) होता है। यहाँ (\left\(-\frac{7}{6}\right\)2-2\cdot\frac{1}{3}=\frac{25}{36})।

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Question Expert Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

समीकरण \(4x^2+8x+3=0\) में मूलों के वर्गों का योग क्या है?

What is the sum of squares of the roots of \(4x^2+8x+3=0\)?

Explanation opens after your attempt
Correct Answer

A. \( \frac{5}{2} \)

Step 1

Concept

(\alpha-2+\beta-2=\(\alpha+\beta\)2-2\alpha\beta). Here ((-2)2-2\cdot\frac{3}{4}=\frac{5}{2}).

Step 2

Why this answer is correct

The correct answer is A. \( \frac{5}{2} \). (\alpha-2+\beta-2=\(\alpha+\beta\)2-2\alpha\beta). Here ((-2)2-2\cdot\frac{3}{4}=\frac{5}{2}).

Step 3

Exam Tip

(\alpha-2+\beta-2=\(\alpha+\beta\)2-2\alpha\beta) होता है। यहाँ ((-2)2-2\cdot\frac{3}{4}=\frac{5}{2})।

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Question Expert Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(5x^2+6x+1=0\) में मूलों के वर्गों का योग क्या है?

What is the sum of squares of the roots of \(5x^2+6x+1=0\)?

Explanation opens after your attempt
Correct Answer

A. \( \frac{26}{25} \)

Step 1

Concept

(\alpha-2+\beta-2=\(\alpha+\beta\)2-2\alpha\beta). Here (\left\(-\frac{6}{5}\right\)2-2\cdot\frac{1}{5}=\frac{26}{25}).

Step 2

Why this answer is correct

The correct answer is A. \( \frac{26}{25} \). (\alpha-2+\beta-2=\(\alpha+\beta\)2-2\alpha\beta). Here (\left\(-\frac{6}{5}\right\)2-2\cdot\frac{1}{5}=\frac{26}{25}).

Step 3

Exam Tip

(\alpha-2+\beta-2=\(\alpha+\beta\)2-2\alpha\beta) होता है। यहाँ (\left\(-\frac{6}{5}\right\)2-2\cdot\frac{1}{5}=\frac{26}{25})।

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Question Hard Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30

समीकरण \(3x^2+8x+4=0\) में मूलों के वर्गों का योग क्या है?

What is the sum of squares of the roots of \(3x^2+8x+4=0\)?

Explanation opens after your attempt
Correct Answer

A. \( \frac{40}{9} \)

Step 1

Concept

If the roots are \(\alpha,\beta\), then (\alpha-2+\beta-2=\(\alpha+\beta\)2-2\alpha\beta). Here (\left\(-\frac{8}{3}\right\)2-2\cdot\frac{4}{3}=\frac{40}{9}).

Step 2

Why this answer is correct

The correct answer is A. \( \frac{40}{9} \). If the roots are \(\alpha,\beta\), then (\alpha-2+\beta-2=\(\alpha+\beta\)2-2\alpha\beta). Here (\left\(-\frac{8}{3}\right\)2-2\cdot\frac{4}{3}=\frac{40}{9}).

Step 3

Exam Tip

यदि मूल \(\alpha,\beta\) हैं, तो (\alpha-2+\beta-2=\(\alpha+\beta\)2-2\alpha\beta)। यहाँ (\left\(-\frac{8}{3}\right\)2-2\cdot\frac{4}{3}=\frac{40}{9})।

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Question Hard Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

समीकरण \(2x^2+7x+3=0\) में मूलों के वर्गों का योग क्या है?

What is the sum of squares of the roots of \(2x^2+7x+3=0\)?

Explanation opens after your attempt
Correct Answer

A. \( \frac{37}{4} \)

Step 1

Concept

If the roots are \(\alpha,\beta\), then (\alpha-2+\beta-2=\(\alpha+\beta\)2-2\alpha\beta). Here (\left\(-\frac{7}{2}\right\)2-2\cdot\frac{3}{2}=\frac{37}{4}).

Step 2

Why this answer is correct

The correct answer is A. \( \frac{37}{4} \). If the roots are \(\alpha,\beta\), then (\alpha-2+\beta-2=\(\alpha+\beta\)2-2\alpha\beta). Here (\left\(-\frac{7}{2}\right\)2-2\cdot\frac{3}{2}=\frac{37}{4}).

Step 3

Exam Tip

यदि मूल \(\alpha,\beta\) हैं, तो (\alpha-2+\beta-2=\(\alpha+\beta\)2-2\alpha\beta)। यहाँ (\left\(-\frac{7}{2}\right\)2-2\cdot\frac{3}{2}=\frac{37}{4})।

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