Hard Mathematics Polynomials Class 10 Level 27

यदि (p(x)=x-2-k) के शून्यक अपरिमेय वास्तविक हैं, तो (k) के लिए सही शर्त कौन सी है?

If the zeroes of (p(x)=x-2-k) are irrational real, which condition on (k) is correct?

Explanation opens after your attempt
Correct Answer

B. (k) धनात्मक हो लेकिन पूर्ण वर्ग न हो(k) is positive but not a perfect square

Step 1

Concept

The zeroes are \(x=\pm\sqrt{k}\). They are irrational real when (k>0) and (k) is not a perfect square.

Step 2

Why this answer is correct

The correct answer is B. (k) धनात्मक हो लेकिन पूर्ण वर्ग न हो / (k) is positive but not a perfect square. The zeroes are \(x=\pm\sqrt{k}\). They are irrational real when (k>0) and (k) is not a perfect square.

Step 3

Exam Tip

शून्यक \(x=\pm\sqrt{k}\) हैं। ये अपरिमेय वास्तविक तभी होंगे जब (k>0) और (k) पूर्ण वर्ग न हो।

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FAQs

Mathematics Answer, Explanation and Revision Hints

यदि (p(x)=x-2-k) के शून्यक अपरिमेय वास्तविक हैं, तो (k) के लिए सही शर्त कौन सी है? / If the zeroes of (p(x)=x-2-k) are irrational real, which condition on (k) is correct?

Correct Answer: B. (k) धनात्मक हो लेकिन पूर्ण वर्ग न हो / (k) is positive but not a perfect square. Explanation: शून्यक \(x=\pm\sqrt{k}\) हैं। ये अपरिमेय वास्तविक तभी होंगे जब (k>0) और (k) पूर्ण वर्ग न हो। / The zeroes are \(x=\pm\sqrt{k}\). They are irrational real when (k>0) and (k) is not a perfect square.

Which concept should I revise for this Mathematics MCQ?

The zeroes are \(x=\pm\sqrt{k}\). They are irrational real when (k>0) and (k) is not a perfect square.

What exam hint can help solve this Mathematics question?

शून्यक \(x=\pm\sqrt{k}\) हैं। ये अपरिमेय वास्तविक तभी होंगे जब (k>0) और (k) पूर्ण वर्ग न हो।

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