Expert Mathematics Quadratic Equations Class 10 Level 31

(4x-2-4(a-1)x+a-2-4a=0) की जड़ें वास्तविक हों, तो (a) पर सही शर्त क्या है?

For (4x-2-4(a-1)x+a-2-4a=0) to have real roots, what is the correct condition on (a)?

Explanation opens after your attempt
Correct Answer

A. \(a\le1\)

Step 1

Concept

For real roots, \(D\ge0\) is required. Here (D=16(1-a)), so \(a\le1\).

Step 2

Why this answer is correct

The correct answer is A. \(a\le1\). For real roots, \(D\ge0\) is required. Here (D=16(1-a)), so \(a\le1\).

Step 3

Exam Tip

वास्तविक जड़ों के लिए \(D\ge0\) चाहिए। यहाँ (D=16(1-a)), इसलिए \(a\le1\) है।

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Mathematics Answer, Explanation and Revision Hints

(4x-2-4(a-1)x+a-2-4a=0) की जड़ें वास्तविक हों, तो (a) पर सही शर्त क्या है? / For (4x-2-4(a-1)x+a-2-4a=0) to have real roots, what is the correct condition on (a)?

Correct Answer: A. \(a\le1\). Explanation: वास्तविक जड़ों के लिए \(D\ge0\) चाहिए। यहाँ (D=16(1-a)), इसलिए \(a\le1\) है। / For real roots, \(D\ge0\) is required. Here (D=16(1-a)), so \(a\le1\).

Which concept should I revise for this Mathematics MCQ?

For real roots, \(D\ge0\) is required. Here (D=16(1-a)), so \(a\le1\).

What exam hint can help solve this Mathematics question?

वास्तविक जड़ों के लिए \(D\ge0\) चाहिए। यहाँ (D=16(1-a)), इसलिए \(a\le1\) है।

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