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monic-equation MCQ Questions for Class 10

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4 questions tagged with monic-equation.

Question 1/4 Expert Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30

यदि किसी मोनिक द्विघात समीकरण के मूल (3r) और (4r) हैं तथा उनका योग (28) है, तो उस समीकरण का स्थिर पद क्या होगा?

If the roots of a monic quadratic equation are (3r) and (4r), and their sum is (28), what will be the constant term?

Explanation opens after your attempt
Correct Answer

A. (192)

Step 1

Concept

From (3r+4r=28), we get (r=4), so the roots are (12) and (16). The constant term is the product of roots (192).

Step 2

Why this answer is correct

The correct answer is A. (192). From (3r+4r=28), we get (r=4), so the roots are (12) and (16). The constant term is the product of roots (192).

Step 3

Exam Tip

(3r+4r=28) से (r=4) मिलता है, इसलिए मूल (12) और (16) हैं। स्थिर पद मूलों का गुणनफल (192) होगा।

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Question 2/4 Expert Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

यदि किसी मोनिक द्विघात समीकरण के मूल (2r) और (5r) हैं तथा उनका योग (21) है, तो उस समीकरण का स्थिर पद क्या होगा?

If the roots of a monic quadratic equation are (2r) and (5r), and their sum is (21), what will be the constant term?

Explanation opens after your attempt
Correct Answer

A. (90)

Step 1

Concept

From (2r+5r=21), we get (r=3), so the roots are (6) and (15). The constant term is the product of roots (90).

Step 2

Why this answer is correct

The correct answer is A. (90). From (2r+5r=21), we get (r=3), so the roots are (6) and (15). The constant term is the product of roots (90).

Step 3

Exam Tip

(2r+5r=21) से (r=3) मिलता है, इसलिए मूल (6) और (15) हैं। स्थिर पद मूलों का गुणनफल (90) होगा।

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Question 3/4 Expert Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

यदि किसी मोनिक द्विघात समीकरण के मूल (r) और (3r) हैं तथा उनका योग (16) है, तो उस समीकरण का स्थिर पद क्या होगा?

If the roots of a monic quadratic equation are (r) and (3r), and their sum is (16), what will be the constant term?

Explanation opens after your attempt
Correct Answer

A. (48)

Step 1

Concept

From (r+3r=16), we get (r=4), so the roots are (4) and (12). The constant term is the product of roots (48).

Step 2

Why this answer is correct

The correct answer is A. (48). From (r+3r=16), we get (r=4), so the roots are (4) and (12). The constant term is the product of roots (48).

Step 3

Exam Tip

(r+3r=16) से (r=4) मिलता है, इसलिए मूल (4) और (12) हैं। स्थिर पद मूलों का गुणनफल (48) होगा।

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

यदि किसी मोनिक द्विघात समीकरण के मूल (r) और (2r) हैं तथा उनका योग (9) है, तो उस समीकरण में स्थिर पद क्या होगा?

If the roots of a monic quadratic equation are (r) and (2r), and their sum is (9), what will be the constant term?

Explanation opens after your attempt
Correct Answer

A. (18)

Step 1

Concept

From (r+2r=9), we get (r=3), so the roots are (3) and (6). The constant term will be the product of roots (18).

Step 2

Why this answer is correct

The correct answer is A. (18). From (r+2r=9), we get (r=3), so the roots are (3) and (6). The constant term will be the product of roots (18).

Step 3

Exam Tip

(r+2r=9) से (r=3) मिलता है, इसलिए मूल (3) और (6) हैं। स्थिर पद मूलों का गुणनफल (18) होगा।

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