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equation_from_sum_product MCQ Questions for Class 10

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9 questions tagged with equation_from_sum_product.

Question 1/9 Medium Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 33

यदि मूलों का योग (0) और गुणनफल (-36) है तो मोनिक समीकरण कौन सा होगा?

If the sum of roots is (0) and product is (-36), which monic equation is formed?

Explanation opens after your attempt
Correct Answer

A. \(x^2-36=0\)

Step 1

Concept

The monic equation is (x-2-(0)x+(-36)=0). Therefore \(x^2-36=0\) is correct.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-36=0\). The monic equation is (x-2-(0)x+(-36)=0). Therefore \(x^2-36=0\) is correct.

Step 3

Exam Tip

मोनिक समीकरण (x-2-(0)x+(-36)=0) होगा। इसलिए \(x^2-36=0\) सही है।

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Question 2/9 Medium Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 33

यदि मूलों का योग (11) और गुणनफल (28) है तो मोनिक द्विघात समीकरण कौन सा होगा?

If the sum of roots is (11) and product is (28), which monic quadratic equation is formed?

Explanation opens after your attempt
Correct Answer

A. \(x^2-11x+28=0\)

Step 1

Concept

\(A monic equation is (x^2-(\)sum)x+product\(=0). Therefore (x^2-11x+28=0) is correct.\)

Step 2

Why this answer is correct

\(The correct answer is A. (x^2-11x+28=0). A monic equation is (x^2-(\)sum)x+product\(=0). Therefore (x^2-11x+28=0) is correct.\)

Step 3

Exam Tip

\(मोनिक समीकरण (x^2-(\)योग)x+गुणनफल=0) होता है। \(इसलिए (x^2-11x+28=0) सही है\)।

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Question 3/9 Medium Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 32

यदि मूलों का योग (0) और गुणनफल (-25) है तो मोनिक समीकरण कौन सा होगा?

If the sum of roots is (0) and product is (-25), which monic equation is formed?

Explanation opens after your attempt
Correct Answer

A. \(x^2-25=0\)

Step 1

Concept

The monic equation is (x-2-(0)x+(-25)=0). Therefore \(x^2-25=0\) is correct.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-25=0\). The monic equation is (x-2-(0)x+(-25)=0). Therefore \(x^2-25=0\) is correct.

Step 3

Exam Tip

मोनिक समीकरण (x-2-(0)x+(-25)=0) होगा। इसलिए \(x^2-25=0\) सही है।

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Question 4/9 Medium Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 32

यदि मूलों का योग (9) और गुणनफल (18) है तो मोनिक द्विघात समीकरण कौन सा होगा?

If the sum of roots is (9) and product is (18), which monic quadratic equation is formed?

Explanation opens after your attempt
Correct Answer

A. \(x^2-9x+18=0\)

Step 1

Concept

\(A monic equation is (x^2-(\)sum)x+product\(=0). Therefore (x^2-9x+18=0) is correct.\)

Step 2

Why this answer is correct

\(The correct answer is A. (x^2-9x+18=0). A monic equation is (x^2-(\)sum)x+product\(=0). Therefore (x^2-9x+18=0) is correct.\)

Step 3

Exam Tip

\(मोनिक समीकरण (x^2-(\)योग)x+गुणनफल=0) होता है। \(इसलिए (x^2-9x+18=0) सही है\)।

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Question 5/9 Medium Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31

यदि मूलों का योग (0) और गुणनफल (-16) है तो मोनिक समीकरण कौन सा होगा?

If the sum of roots is (0) and product is (-16), which monic equation is formed?

Explanation opens after your attempt
Correct Answer

A. \(x^2-16=0\)

Step 1

Concept

The monic equation is (x-2-(0)x+(-16)=0). Therefore \(x^2-16=0\) is correct.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-16=0\). The monic equation is (x-2-(0)x+(-16)=0). Therefore \(x^2-16=0\) is correct.

Step 3

Exam Tip

मोनिक समीकरण (x-2-(0)x+(-16)=0) होगा। इसलिए \(x^2-16=0\) सही है।

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Question 6/9 Medium Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31

यदि मूलों का योग (7) और गुणनफल (10) है तो मोनिक द्विघात समीकरण कौन सा होगा?

If the sum of roots is (7) and product is (10), which monic quadratic equation is formed?

Explanation opens after your attempt
Correct Answer

A. \(x^2-7x+10=0\)

Step 1

Concept

\(A monic equation is (x^2-(\)sum)x+product\(=0). Therefore (x^2-7x+10=0) is correct.\)

Step 2

Why this answer is correct

\(The correct answer is A. (x^2-7x+10=0). A monic equation is (x^2-(\)sum)x+product\(=0). Therefore (x^2-7x+10=0) is correct.\)

Step 3

Exam Tip

\(मोनिक समीकरण (x^2-(\)योग)x+गुणनफल=0) होता है। \(इसलिए (x^2-7x+10=0) सही है\)।

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Question 7/9 Easy Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 33

जिस मोनिक द्विघात समीकरण के मूलों का योग (10) और गुणनफल (21) है वह कौन सा है?

Which monic quadratic equation has sum of roots (10) and product of roots (21)?

Explanation opens after your attempt
Correct Answer

B. \(x^2-10x+21=0\)

Step 1

Concept

\(A monic equation is (x^2-(\)sum)x+product\(=0). Therefore (x^2-10x+21=0) is correct.\)

Step 2

Why this answer is correct

\(The correct answer is B. (x^2-10x+21=0). A monic equation is (x^2-(\)sum)x+product\(=0). Therefore (x^2-10x+21=0) is correct.\)

Step 3

Exam Tip

\(मोनिक समीकरण (x^2-(\)योग)x+गुणनफल=0) होता है। \(इसलिए (x^2-10x+21=0) सही है\)।

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Question 8/9 Easy Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 32

जिस मोनिक द्विघात समीकरण के मूलों का योग (-9) और गुणनफल (20) है वह कौन सा है?

Which monic quadratic equation has sum of roots (-9) and product of roots (20)?

Explanation opens after your attempt
Correct Answer

A. \(x^2+9x+20=0\)

Step 1

Concept

\(A monic equation is (x^2-(\)sum)x+product\(=0). Therefore (x^2+9x+20=0) is correct.\)

Step 2

Why this answer is correct

\(The correct answer is A. (x^2+9x+20=0). A monic equation is (x^2-(\)sum)x+product\(=0). Therefore (x^2+9x+20=0) is correct.\)

Step 3

Exam Tip

\(मोनिक समीकरण (x^2-(\)योग)x+गुणनफल=0) होता है। \(इसलिए (x^2+9x+20=0) सही है\)।

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Question 9/9 Easy Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31

जिस द्विघात समीकरण के मूलों का योग (6) और गुणनफल (8) है वह कौन सा है?

Which quadratic equation has sum of roots (6) and product of roots (8)?

Explanation opens after your attempt
Correct Answer

B. \(x^2-6x+8=0\)

Step 1

Concept

\(The standard form is (x^2-(\)sum)x+product\(=0) so (x^2-6x+8=0). The sign of the sum term changes.\)

Step 2

Why this answer is correct

\(The correct answer is B. (x^2-6x+8=0). The standard form is (x^2-(\)sum)x+product\(=0) so (x^2-6x+8=0). The sign of the sum term changes.\)

Step 3

Exam Tip

\(मानक रूप (x^2-(\)योग)x+गुणनफल=0) है इसलिए \(x^2-6x+8=0\)। योग वाले पद का चिन्ह बदलता है।

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