Expert Mathematics Quadratic Equations Class 10 Level 32

यदि (x-2-2(a+3)x+a-2+6a+5=0) की जड़ें \(\alpha,\beta\) हैं, तो \(\alpha-\beta\) का धनात्मक मान क्या है?

If \(\alpha,\beta\) are the roots of (x-2-2(a+3)x+a-2+6a+5=0), what is the positive value of \(\alpha-\beta\)?

Explanation opens after your attempt
Correct Answer

A. (4)

Step 1

Concept

The equation becomes ((x-(a+1))(x-(a+5))=0). So the roots are (a+1) and (a+5), hence the positive difference is (4).

Step 2

Why this answer is correct

The correct answer is A. (4). The equation becomes ((x-(a+1))(x-(a+5))=0). So the roots are (a+1) and (a+5), hence the positive difference is (4).

Step 3

Exam Tip

यहाँ समीकरण ((x-(a+1))(x-(a+5))=0) बनता है। इसलिए जड़ें (a+1) और (a+5) हैं, अतः धनात्मक अंतर (4) है।

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Mathematics Answer, Explanation and Revision Hints

यदि (x-2-2(a+3)x+a-2+6a+5=0) की जड़ें \(\alpha,\beta\) हैं, तो \(\alpha-\beta\) का धनात्मक मान क्या है? / If \(\alpha,\beta\) are the roots of (x-2-2(a+3)x+a-2+6a+5=0), what is the positive value of \(\alpha-\beta\)?

Correct Answer: A. (4). Explanation: यहाँ समीकरण ((x-(a+1))(x-(a+5))=0) बनता है। इसलिए जड़ें (a+1) और (a+5) हैं, अतः धनात्मक अंतर (4) है। / The equation becomes ((x-(a+1))(x-(a+5))=0). So the roots are (a+1) and (a+5), hence the positive difference is (4).

Which concept should I revise for this Mathematics MCQ?

The equation becomes ((x-(a+1))(x-(a+5))=0). So the roots are (a+1) and (a+5), hence the positive difference is (4).

What exam hint can help solve this Mathematics question?

यहाँ समीकरण ((x-(a+1))(x-(a+5))=0) बनता है। इसलिए जड़ें (a+1) और (a+5) हैं, अतः धनात्मक अंतर (4) है।

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