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always-non-real MCQ Questions for Class 10

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2 questions tagged with always-non-real.

Question 1/2 Expert Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 33

(x-2-2x+\(a^2+3\)=0) की जड़ों की प्रकृति क्या है?

What is the nature of the roots of (x-2-2x+\(a^2+3\)=0)?

Explanation opens after your attempt
Correct Answer

A. हर वास्तविक (a) के लिए वास्तविक नहींNot real for every real (a)

Step 1

Concept

The discriminant is (D=4-4\(a^2+3\)=-4a-2-8). It is negative for every real (a), so the roots are not real.

Step 2

Why this answer is correct

The correct answer is A. हर वास्तविक (a) के लिए वास्तविक नहीं / Not real for every real (a). The discriminant is (D=4-4\(a^2+3\)=-4a-2-8). It is negative for every real (a), so the roots are not real.

Step 3

Exam Tip

विविक्तकर (D=4-4\(a^2+3\)=-4a-2-8) है। यह हर वास्तविक (a) के लिए ऋणात्मक है, इसलिए जड़ें वास्तविक नहीं हैं।

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Question 2/2 Expert Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 32

(x-2-2x+\(a^2+2\)=0) की जड़ों की प्रकृति क्या है?

What is the nature of the roots of (x-2-2x+\(a^2+2\)=0)?

Explanation opens after your attempt
Correct Answer

C. हर (a) के लिए वास्तविक नहींNot real for every (a)

Step 1

Concept

The discriminant is (D=4-4\(a^2+2\)=-4\(a^2+1\)). It is negative for every real (a), so the roots are not real.

Step 2

Why this answer is correct

The correct answer is C. हर (a) के लिए वास्तविक नहीं / Not real for every (a). The discriminant is (D=4-4\(a^2+2\)=-4\(a^2+1\)). It is negative for every real (a), so the roots are not real.

Step 3

Exam Tip

विविक्तकर (D=4-4\(a^2+2\)=-4\(a^2+1\)) है। यह हर वास्तविक (a) के लिए ऋणात्मक है, इसलिए जड़ें वास्तविक नहीं हैं।

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