Hard Mathematics Quadratic Equations Class 10 Level 33

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

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

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

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

Step 3

Exam Tip

वास्तविक और भिन्न जड़ों 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

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

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

What exam hint can help solve this Mathematics question?

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

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