Concept-wise Practice

sum-square MCQ Questions for Class 10

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

Practice Questions

5 questions tagged with sum-square.

Question 1/5 Expert Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30

यदि \(x^2-19x+84=0\) के मूल \(\alpha,\beta\) हैं, तो (\(\alpha+\beta\)2) का मान क्या है?

If \(\alpha,\beta\) are roots of \(x^2-19x+84=0\), what is (\(\alpha+\beta\)2)?

Explanation opens after your attempt
Correct Answer

A. (361)

Step 1

Concept

The sum of roots is (19). Therefore (\(\alpha+\beta\)2=192=361).

Step 2

Why this answer is correct

The correct answer is A. (361). The sum of roots is (19). Therefore (\(\alpha+\beta\)2=192=361).

Step 3

Exam Tip

मूलों का योग (19) है। इसलिए (\(\alpha+\beta\)2=192=361)।

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Question 2/5 Expert Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

यदि \(x^2-15x+44=0\) के मूल \(\alpha,\beta\) हैं, तो (\(\alpha+\beta\)2) का मान क्या है?

If \(\alpha,\beta\) are roots of \(x^2-15x+44=0\), what is (\(\alpha+\beta\)2)?

Explanation opens after your attempt
Correct Answer

A. (225)

Step 1

Concept

The sum of roots is (15). Therefore (\(\alpha+\beta\)2=152=225).

Step 2

Why this answer is correct

The correct answer is A. (225). The sum of roots is (15). Therefore (\(\alpha+\beta\)2=152=225).

Step 3

Exam Tip

मूलों का योग (15) है। इसलिए (\(\alpha+\beta\)2=152=225)।

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Question 3/5 Expert Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

यदि \(x^2-13x+36=0\) के मूल \(\alpha,\beta\) हैं, तो (\(\alpha+\beta\)2) का मान क्या है?

If \(\alpha,\beta\) are roots of \(x^2-13x+36=0\), what is (\(\alpha+\beta\)2)?

Explanation opens after your attempt
Correct Answer

A. (169)

Step 1

Concept

The sum of roots is (13). Therefore (\(\alpha+\beta\)2=132=169).

Step 2

Why this answer is correct

The correct answer is A. (169). The sum of roots is (13). Therefore (\(\alpha+\beta\)2=132=169).

Step 3

Exam Tip

मूलों का योग (13) है। इसलिए (\(\alpha+\beta\)2=132=169)।

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Question 4/5 Hard Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30

यदि \(x^2-9x+14=0\) के मूल \(\alpha,\beta\) हैं, तो (\(\alpha+\beta\)2) का मान क्या है?

If \(\alpha,\beta\) are roots of \(x^2-9x+14=0\), what is (\(\alpha+\beta\)2)?

Explanation opens after your attempt
Correct Answer

A. (81)

Step 1

Concept

The sum of roots is (9). Therefore (\(\alpha+\beta\)2=92=81).

Step 2

Why this answer is correct

The correct answer is A. (81). The sum of roots is (9). Therefore (\(\alpha+\beta\)2=92=81).

Step 3

Exam Tip

मूलों का योग (9) है। इसलिए (\(\alpha+\beta\)2=92=81)।

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Question 5/5 Hard Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

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

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

Explanation opens after your attempt
Correct Answer

A. (4)

Step 1

Concept

The sum of roots is (-2). Therefore (\(\alpha+\beta\)2=(-2)2=4).

Step 2

Why this answer is correct

The correct answer is A. (4). The sum of roots is (-2). Therefore (\(\alpha+\beta\)2=(-2)2=4).

Step 3

Exam Tip

मूलों का योग (-2) है। इसलिए (\(\alpha+\beta\)2=(-2)2=4)।

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