Expert Mathematics Quadratic Equations Class 10 Level 28

समीकरण (x-2-2(k+1)x+k-2=0) के मूल वास्तविक और भिन्न हों, तो (k) पर सही शर्त क्या है?

If the roots of (x-2-2(k+1)x+k-2=0) are real and distinct, what is the correct condition on (k)?

Explanation opens after your attempt
Correct Answer

A. \(k>-\frac{1}{2}\)

Step 1

Concept

For distinct real roots, (D>0) is needed. Here (D=4(2k+1)), so \(k>-\frac{1}{2}\).

Step 2

Why this answer is correct

The correct answer is A. \(k>-\frac{1}{2}\). For distinct real roots, (D>0) is needed. Here (D=4(2k+1)), so \(k>-\frac{1}{2}\).

Step 3

Exam Tip

भिन्न वास्तविक मूलों के लिए (D>0) चाहिए। यहाँ (D=4(2k+1)), इसलिए \(k>-\frac{1}{2}\)।

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Mathematics Answer, Explanation and Revision Hints

समीकरण (x-2-2(k+1)x+k-2=0) के मूल वास्तविक और भिन्न हों, तो (k) पर सही शर्त क्या है? / If the roots of (x-2-2(k+1)x+k-2=0) are real and distinct, what is the correct condition on (k)?

Correct Answer: A. \(k>-\frac{1}{2}\). Explanation: भिन्न वास्तविक मूलों के लिए (D>0) चाहिए। यहाँ (D=4(2k+1)), इसलिए \(k>-\frac{1}{2}\)। / For distinct real roots, (D>0) is needed. Here (D=4(2k+1)), so \(k>-\frac{1}{2}\).

Which concept should I revise for this Mathematics MCQ?

For distinct real roots, (D>0) is needed. Here (D=4(2k+1)), so \(k>-\frac{1}{2}\).

What exam hint can help solve this Mathematics question?

भिन्न वास्तविक मूलों के लिए (D>0) चाहिए। यहाँ (D=4(2k+1)), इसलिए \(k>-\frac{1}{2}\)।

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