Medium Mathematics Quadratic Equations Class 10 Level 31

समीकरण \(4x^2-12x+9=0\) के मूलों की प्रकृति क्या है?

What is the nature of roots of \(4x^2-12x+9=0\)?

Explanation opens after your attempt
Correct Answer

A. बराबर वास्तविक मूलEqual real roots

Step 1

Concept

It is (4x-2-12x+9=(2x-3)2). Therefore both roots are \(\frac{3}{2}\) and \(\frac{3}{2}\), which are equal.

Step 2

Why this answer is correct

The correct answer is A. बराबर वास्तविक मूल / Equal real roots. It is (4x-2-12x+9=(2x-3)2). Therefore both roots are \(\frac{3}{2}\) and \(\frac{3}{2}\), which are equal.

Step 3

Exam Tip

यह (4x-2-12x+9=(2x-3)2) है। इसलिए दोनों मूल \(\frac{3}{2}\) और \(\frac{3}{2}\) बराबर हैं।

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Mathematics Answer, Explanation and Revision Hints

समीकरण \(4x^2-12x+9=0\) के मूलों की प्रकृति क्या है? / What is the nature of roots of \(4x^2-12x+9=0\)?

Correct Answer: A. बराबर वास्तविक मूल / Equal real roots. Explanation: यह (4x-2-12x+9=(2x-3)2) है। इसलिए दोनों मूल \(\frac{3}{2}\) और \(\frac{3}{2}\) बराबर हैं। / It is (4x-2-12x+9=(2x-3)2). Therefore both roots are \(\frac{3}{2}\) and \(\frac{3}{2}\), which are equal.

Which concept should I revise for this Mathematics MCQ?

It is (4x-2-12x+9=(2x-3)2). Therefore both roots are \(\frac{3}{2}\) and \(\frac{3}{2}\), which are equal.

What exam hint can help solve this Mathematics question?

यह (4x-2-12x+9=(2x-3)2) है। इसलिए दोनों मूल \(\frac{3}{2}\) और \(\frac{3}{2}\) बराबर हैं।

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