\(\sqrt{2}\) के प्रमाण में कौन-सा चरण छोड़ने पर प्रमाण अधूरा हो जाएगा?

Which skipped step would make the proof of \(\sqrt{2}\) incomplete?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

A. (x) सम सिद्ध करने के बाद (y) सम सिद्ध करनाAfter proving (x) even, proving (y) even

Step 1

Concept

Only (x) being even gives no contradiction. The coprime condition breaks only when (y) is also even.

Step 2

Why this answer is correct

The correct answer is A. (x) सम सिद्ध करने के बाद (y) सम सिद्ध करना / After proving (x) even, proving (y) even. Only (x) being even gives no contradiction. The coprime condition breaks only when (y) is also even.

Step 3

Exam Tip

सिर्फ (x) सम होना विरोधाभास नहीं देता। (y) भी सम हो तभी सहभाज्य शर्त टूटती है।

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Mathematics Answer, Explanation and Revision Hints

\(\sqrt{2}\) के प्रमाण में कौन-सा चरण छोड़ने पर प्रमाण अधूरा हो जाएगा? / Which skipped step would make the proof of \(\sqrt{2}\) incomplete?

Correct Answer: A. (x) सम सिद्ध करने के बाद (y) सम सिद्ध करना / After proving (x) even, proving (y) even. Explanation: सिर्फ (x) सम होना विरोधाभास नहीं देता। (y) भी सम हो तभी सहभाज्य शर्त टूटती है। / Only (x) being even gives no contradiction. The coprime condition breaks only when (y) is also even.

Which concept should I revise for this Mathematics MCQ?

Only (x) being even gives no contradiction. The coprime condition breaks only when (y) is also even.

What exam hint can help solve this Mathematics question?

सिर्फ (x) सम होना विरोधाभास नहीं देता। (y) भी सम हो तभी सहभाज्य शर्त टूटती है।