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cubes-sum MCQ Questions for Class 10

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5 questions tagged with cubes-sum.

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

समीकरण \(x^2-7x-18=0\) के मूलों के घनों का योग क्या है?

What is the sum of cubes of the roots of \(x^2-7x-18=0\)?

Explanation opens after your attempt
Correct Answer

A. (721)

Step 1

Concept

The sum of roots is (7) and the product is (-18). (\alpha-3+\beta-3=\(\alpha+\beta\)3-3\alpha\beta\(\alpha+\beta\)=343+378=721).

Step 2

Why this answer is correct

The correct answer is A. (721). The sum of roots is (7) and the product is (-18). (\alpha-3+\beta-3=\(\alpha+\beta\)3-3\alpha\beta\(\alpha+\beta\)=343+378=721).

Step 3

Exam Tip

मूलों का योग (7) और गुणनफल (-18) है। (\alpha-3+\beta-3=\(\alpha+\beta\)3-3\alpha\beta\(\alpha+\beta\)=343+378=721)।

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

समीकरण \(x^2-6x-16=0\) के मूलों के घनों का योग क्या है?

What is the sum of cubes of the roots of \(x^2-6x-16=0\)?

Explanation opens after your attempt
Correct Answer

A. (504)

Step 1

Concept

The sum of roots is (6) and the product is (-16). (\alpha-3+\beta-3=\(\alpha+\beta\)3-3\alpha\beta\(\alpha+\beta\)=216+288=504).

Step 2

Why this answer is correct

The correct answer is A. (504). The sum of roots is (6) and the product is (-16). (\alpha-3+\beta-3=\(\alpha+\beta\)3-3\alpha\beta\(\alpha+\beta\)=216+288=504).

Step 3

Exam Tip

मूलों का योग (6) और गुणनफल (-16) है। (\alpha-3+\beta-3=\(\alpha+\beta\)3-3\alpha\beta\(\alpha+\beta\)=216+288=504)।

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

समीकरण \(x^2-5x-14=0\) के मूलों के घनों का योग क्या है?

What is the sum of cubes of the roots of \(x^2-5x-14=0\)?

Explanation opens after your attempt
Correct Answer

A. (335)

Step 1

Concept

The sum of roots is (5) and the product is (-14). (\alpha-3+\beta-3=\(\alpha+\beta\)3-3\alpha\beta\(\alpha+\beta\)=125+210=335).

Step 2

Why this answer is correct

The correct answer is A. (335). The sum of roots is (5) and the product is (-14). (\alpha-3+\beta-3=\(\alpha+\beta\)3-3\alpha\beta\(\alpha+\beta\)=125+210=335).

Step 3

Exam Tip

मूलों का योग (5) और गुणनफल (-14) है। (\alpha-3+\beta-3=\(\alpha+\beta\)3-3\alpha\beta\(\alpha+\beta\)=125+210=335)।

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

समीकरण \(x^2-3x-10=0\) के मूलों के घनों का योग क्या है?

What is the sum of cubes of the roots of \(x^2-3x-10=0\)?

Explanation opens after your attempt
Correct Answer

A. (117)

Step 1

Concept

The sum of roots is (3) and the product is (-10). (\alpha-3+\beta-3=\(\alpha+\beta\)3-3\alpha\beta\(\alpha+\beta\)=27+90=117).

Step 2

Why this answer is correct

The correct answer is A. (117). The sum of roots is (3) and the product is (-10). (\alpha-3+\beta-3=\(\alpha+\beta\)3-3\alpha\beta\(\alpha+\beta\)=27+90=117).

Step 3

Exam Tip

मूलों का योग (3) और गुणनफल (-10) है। (\alpha-3+\beta-3=\(\alpha+\beta\)3-3\alpha\beta\(\alpha+\beta\)=27+90=117)।

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

समीकरण \(x^2-2x-3=0\) के मूलों के घनों का योग क्या है?

What is the sum of cubes of the roots of \(x^2-2x-3=0\)?

Explanation opens after your attempt
Correct Answer

A. (26)

Step 1

Concept

The sum of roots is (2) and the product is (-3). (\alpha-3+\beta-3=\(\alpha+\beta\)3-3\alpha\beta\(\alpha+\beta\)=8+18=26).

Step 2

Why this answer is correct

The correct answer is A. (26). The sum of roots is (2) and the product is (-3). (\alpha-3+\beta-3=\(\alpha+\beta\)3-3\alpha\beta\(\alpha+\beta\)=8+18=26).

Step 3

Exam Tip

मूलों का योग (2) और गुणनफल (-3) है। (\alpha-3+\beta-3=\(\alpha+\beta\)3-3\alpha\beta\(\alpha+\beta\)=8+18=26)।

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