Expert Mathematics Quadratic Equations Class 10 Level 32

(9x-2-6(a+1)x+a-2-3a=0) की जड़ें वास्तविक हों, तो (a) पर सही शर्त क्या है?

For (9x-2-6(a+1)x+a-2-3a=0) to have real roots, what is the correct condition on (a)?

Explanation opens after your attempt
Correct Answer

A. \(a\ge-\frac{1}{5}\)

Step 1

Concept

For real roots, \(D\ge0\) is required. Here (D=36(5a+1)), so \(a\ge-\frac{1}{5}\).

Step 2

Why this answer is correct

The correct answer is A. \(a\ge-\frac{1}{5}\). For real roots, \(D\ge0\) is required. Here (D=36(5a+1)), so \(a\ge-\frac{1}{5}\).

Step 3

Exam Tip

वास्तविक जड़ों के लिए \(D\ge0\) चाहिए। यहाँ (D=36(5a+1)), इसलिए \(a\ge-\frac{1}{5}\)।

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Mathematics Answer, Explanation and Revision Hints

(9x-2-6(a+1)x+a-2-3a=0) की जड़ें वास्तविक हों, तो (a) पर सही शर्त क्या है? / For (9x-2-6(a+1)x+a-2-3a=0) to have real roots, what is the correct condition on (a)?

Correct Answer: A. \(a\ge-\frac{1}{5}\). Explanation: वास्तविक जड़ों के लिए \(D\ge0\) चाहिए। यहाँ (D=36(5a+1)), इसलिए \(a\ge-\frac{1}{5}\)। / For real roots, \(D\ge0\) is required. Here (D=36(5a+1)), so \(a\ge-\frac{1}{5}\).

Which concept should I revise for this Mathematics MCQ?

For real roots, \(D\ge0\) is required. Here (D=36(5a+1)), so \(a\ge-\frac{1}{5}\).

What exam hint can help solve this Mathematics question?

वास्तविक जड़ों के लिए \(D\ge0\) चाहिए। यहाँ (D=36(5a+1)), इसलिए \(a\ge-\frac{1}{5}\)।

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