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discriminant value MCQ Questions for Class 10

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8 questions tagged with discriminant value.

Question 1/8 Medium Mathematics Quadratic Equations Nature of Roots Class 10 Level 39

यदि (D=144) हो, तो मूलों की प्रकृति के बारे में सही कथन कौन सा है?

If (D=144), which statement about the roots is correct?

Explanation opens after your attempt
Correct Answer

A. मूल वास्तविक, परिमेय और असमान हैंRoots are real, rational, and distinct

Step 1

Concept

(D=144) is a positive perfect square. Therefore the roots will be rational and distinct.

Step 2

Why this answer is correct

The correct answer is A. मूल वास्तविक, परिमेय और असमान हैं / Roots are real, rational, and distinct. (D=144) is a positive perfect square. Therefore the roots will be rational and distinct.

Step 3

Exam Tip

(D=144) धनात्मक पूर्ण वर्ग है। इसलिए मूल परिमेय और असमान होंगे।

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Question 2/8 Medium Mathematics Quadratic Equations Nature of Roots Class 10 Level 39

यदि किसी द्विघात समीकरण में (D=27) हो, तो मूलों की प्रकृति क्या होगी?

If a quadratic equation has (D=27), what will be the nature of roots?

Explanation opens after your attempt
Correct Answer

A. दो वास्तविक अपरिमेय और असमानTwo real irrational and distinct

Step 1

Concept

(D=27) is positive but not a perfect square. So the roots are real, distinct, and irrational.

Step 2

Why this answer is correct

The correct answer is A. दो वास्तविक अपरिमेय और असमान / Two real irrational and distinct. (D=27) is positive but not a perfect square. So the roots are real, distinct, and irrational.

Step 3

Exam Tip

(D=27) धनात्मक है पर पूर्ण वर्ग नहीं है। इसलिए मूल वास्तविक, असमान और अपरिमेय होंगे।

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Question 3/8 Medium Mathematics Quadratic Equations Nature of Roots Class 10 Level 38

यदि (D=100) हो, तो मूलों की प्रकृति के बारे में सही कथन कौन सा है?

If (D=100), which statement about the roots is correct?

Explanation opens after your attempt
Correct Answer

A. मूल वास्तविक, परिमेय और असमान हैंRoots are real, rational, and distinct

Step 1

Concept

(D=100) is a positive perfect square. Therefore the roots will be rational and distinct.

Step 2

Why this answer is correct

The correct answer is A. मूल वास्तविक, परिमेय और असमान हैं / Roots are real, rational, and distinct. (D=100) is a positive perfect square. Therefore the roots will be rational and distinct.

Step 3

Exam Tip

(D=100) धनात्मक पूर्ण वर्ग है। इसलिए मूल परिमेय और असमान होंगे।

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Question 4/8 Medium Mathematics Quadratic Equations Nature of Roots Class 10 Level 38

यदि किसी द्विघात समीकरण का (D=18) है, तो मूलों की प्रकृति क्या होगी?

If a quadratic equation has (D=18), what will be the nature of roots?

Explanation opens after your attempt
Correct Answer

A. दो वास्तविक अपरिमेय और असमानTwo real irrational and distinct

Step 1

Concept

(D=18) is positive but not a perfect square. So the roots are real, distinct, and irrational.

Step 2

Why this answer is correct

The correct answer is A. दो वास्तविक अपरिमेय और असमान / Two real irrational and distinct. (D=18) is positive but not a perfect square. So the roots are real, distinct, and irrational.

Step 3

Exam Tip

(D=18) धनात्मक है पर पूर्ण वर्ग नहीं है। इसलिए मूल वास्तविक, असमान और अपरिमेय होंगे।

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Question 5/8 Medium Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

यदि किसी समीकरण में (D=12) हो, तो मूलों की सही प्रकृति कौन सी होगी?

If an equation has (D=12), which is the correct nature of roots?

Explanation opens after your attempt
Correct Answer

A. दो वास्तविक अपरिमेय और असमानTwo real irrational and distinct

Step 1

Concept

(D=12) is positive but not a perfect square. So roots are real distinct and irrational.

Step 2

Why this answer is correct

The correct answer is A. दो वास्तविक अपरिमेय और असमान / Two real irrational and distinct. (D=12) is positive but not a perfect square. So roots are real distinct and irrational.

Step 3

Exam Tip

(D=12) धनात्मक है पर पूर्ण वर्ग नहीं है। इसलिए मूल वास्तविक असमान और अपरिमेय होते हैं।

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Question 6/8 Medium Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

यदि किसी द्विघात समीकरण का विविक्तकर (D=49) है, तो मूलों की प्रकृति क्या होगी?

If a quadratic equation has discriminant (D=49), what is the nature of its roots?

Explanation opens after your attempt
Correct Answer

A. दो वास्तविक परिमेय और असमानTwo real rational and distinct

Step 1

Concept

(D=49) is a positive perfect square. So the roots are real, rational, and distinct.

Step 2

Why this answer is correct

The correct answer is A. दो वास्तविक परिमेय और असमान / Two real rational and distinct. (D=49) is a positive perfect square. So the roots are real, rational, and distinct.

Step 3

Exam Tip

(D=49) धनात्मक पूर्ण वर्ग है। इसलिए मूल वास्तविक, परिमेय और असमान होंगे।

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Question 7/8 Easy Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

समीकरण \(6x^2-5x+1=0\) का विविक्तकर क्या है?

What is the discriminant of \(6x^2-5x+1=0\)?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

(D=(-5)2-4(6)(1)=1). This gives two real and distinct roots.

Step 2

Why this answer is correct

The correct answer is A. (1). (D=(-5)2-4(6)(1)=1). This gives two real and distinct roots.

Step 3

Exam Tip

(D=(-5)2-4(6)(1)=1) है। इससे दो वास्तविक और असमान मूल होंगे।

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Question 8/8 Easy Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

समीकरण \(2x^2-3x+1=0\) के लिए विविक्तकर का मान क्या है?

What is the value of the discriminant for \(2x^2-3x+1=0\)?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

The value is (D=(-3)2-4(2)(1)=1). A positive discriminant gives distinct real roots.

Step 2

Why this answer is correct

The correct answer is A. (1). The value is (D=(-3)2-4(2)(1)=1). A positive discriminant gives distinct real roots.

Step 3

Exam Tip

(D=(-3)2-4(2)(1)=1) है। धनात्मक विविक्तकर असमान वास्तविक मूल देता है।

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