Expert Mathematics Quadratic Equations Class 10 Level 28

समीकरण \(x^2-12x+k=0\) के मूल वास्तविक और भिन्न हों, तो (k) पर सही शर्त क्या है?

If the roots of \(x^2-12x+k=0\) are real and distinct, what is the correct condition on (k)?

Explanation opens after your attempt
Correct Answer

A. (k<36)

Step 1

Concept

For real and distinct roots, (D>0) is required. Here (144-4k>0), so (k<36).

Step 2

Why this answer is correct

The correct answer is A. (k<36). For real and distinct roots, (D>0) is required. Here (144-4k>0), so (k<36).

Step 3

Exam Tip

भिन्न वास्तविक मूलों के लिए (D>0) चाहिए। यहाँ (144-4k>0), इसलिए (k<36)।

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समीकरण \(x^2-12x+k=0\) के मूल वास्तविक और भिन्न हों, तो (k) पर सही शर्त क्या है? / If the roots of \(x^2-12x+k=0\) are real and distinct, what is the correct condition on (k)?

Correct Answer: A. (k<36). Explanation: भिन्न वास्तविक मूलों के लिए (D>0) चाहिए। यहाँ (144-4k>0), इसलिए (k<36)। / For real and distinct roots, (D>0) is required. Here (144-4k>0), so (k<36).

Which concept should I revise for this Mathematics MCQ?

For real and distinct roots, (D>0) is required. Here (144-4k>0), so (k<36).

What exam hint can help solve this Mathematics question?

भिन्न वास्तविक मूलों के लिए (D>0) चाहिए। यहाँ (144-4k>0), इसलिए (k<36)।

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