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sign of discriminant MCQ Questions for Class 10

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3 questions tagged with sign of discriminant.

Question 1/3 Medium Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

समीकरण \(5x^2+2x+1=0\) में (D) का चिन्ह और मूलों की प्रकृति क्या है?

What is the sign of (D) and the nature of roots in \(5x^2+2x+1=0\)?

Explanation opens after your attempt
Correct Answer

A. (D<0), कोई वास्तविक मूल नहीं(D<0), no real roots

Step 1

Concept

Here (D=22-4(5)(1)=-16). A negative discriminant means no real roots.

Step 2

Why this answer is correct

The correct answer is A. (D<0), कोई वास्तविक मूल नहीं / (D<0), no real roots. Here (D=22-4(5)(1)=-16). A negative discriminant means no real roots.

Step 3

Exam Tip

यहाँ (D=22-4(5)(1)=-16) है। ऋणात्मक विविक्तकर का अर्थ है कोई वास्तविक मूल नहीं।

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Question 2/3 Easy Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

समीकरण \(2x^2+4x+2=0\) के लिए विविक्तकर का चिन्ह क्या है?

What is the sign of the discriminant for \(2x^2+4x+2=0\)?

Explanation opens after your attempt
Correct Answer

A. शून्यzero

Step 1

Concept

(D=42-4(2)(2)=0). So this is the case of equal real roots.

Step 2

Why this answer is correct

The correct answer is A. शून्य / zero. (D=42-4(2)(2)=0). So this is the case of equal real roots.

Step 3

Exam Tip

(D=42-4(2)(2)=0) है। इसलिए यह समान वास्तविक मूलों की स्थिति है।

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Question 3/3 Easy Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

समीकरण \(3x^2-2x+4=0\) के लिए विविक्तकर का चिन्ह क्या है?

What is the sign of the discriminant for \(3x^2-2x+4=0\)?

Explanation opens after your attempt
Correct Answer

A. ऋणात्मकnegative

Step 1

Concept

(D=(-2)2-4(3)(4)=-44<0). Hence the discriminant is negative.

Step 2

Why this answer is correct

The correct answer is A. ऋणात्मक / negative. (D=(-2)2-4(3)(4)=-44<0). Hence the discriminant is negative.

Step 3

Exam Tip

(D=(-2)2-4(3)(4)=-44<0) है। अतः विविक्तकर ऋणात्मक है।

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