Expert Mathematics Quadratic Equations Class 10 Level 28

समीकरण \(x^2+10x+k=0\) के कोई वास्तविक मूल नहीं हैं। (k) पर सही शर्त क्या है?

The equation \(x^2+10x+k=0\) has no real roots. What is the correct condition on (k)?

Explanation opens after your attempt
Correct Answer

A. (k>25)

Step 1

Concept

For no real roots, (D<0) is needed. Here (100-4k<0), so (k>25).

Step 2

Why this answer is correct

The correct answer is A. (k>25). For no real roots, (D<0) is needed. Here (100-4k<0), so (k>25).

Step 3

Exam Tip

कोई वास्तविक मूल न होने के लिए (D<0) चाहिए। यहाँ (100-4k<0), इसलिए (k>25)।

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Mathematics Answer, Explanation and Revision Hints

समीकरण \(x^2+10x+k=0\) के कोई वास्तविक मूल नहीं हैं। (k) पर सही शर्त क्या है? / The equation \(x^2+10x+k=0\) has no real roots. What is the correct condition on (k)?

Correct Answer: A. (k>25). Explanation: कोई वास्तविक मूल न होने के लिए (D<0) चाहिए। यहाँ (100-4k<0), इसलिए (k>25)। / For no real roots, (D<0) is needed. Here (100-4k<0), so (k>25).

Which concept should I revise for this Mathematics MCQ?

For no real roots, (D<0) is needed. Here (100-4k<0), so (k>25).

What exam hint can help solve this Mathematics question?

कोई वास्तविक मूल न होने के लिए (D<0) चाहिए। यहाँ (100-4k<0), इसलिए (k>25)।

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