\(\sqrt{2}\) की अपरिमेयता में कौन-सा कथन प्रमाण को पूरा नहीं करता, क्योंकि वह केवल आधा विरोधाभास है?

In irrationality of \(\sqrt{2}\), which statement does not complete the proof because it is only half of the contradiction?

Author: Muft Shiksha Editorial Team Published: Updated:
Explanation opens after your attempt
Correct Answer

A. (m) सम है(m) is even

Step 1

Concept

Only (m) being even gives no contradiction. To get contradiction, (n) must also be proved even.

Step 2

Why this answer is correct

The correct answer is A. (m) सम है / (m) is even. Only (m) being even gives no contradiction. To get contradiction, (n) must also be proved even.

Step 3

Exam Tip

केवल (m) सम होना विरोधाभास नहीं देता। विरोधाभास के लिए (n) भी सम सिद्ध करना जरूरी है।

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Mathematics Answer, Explanation and Revision Hints

\(\sqrt{2}\) की अपरिमेयता में कौन-सा कथन प्रमाण को पूरा नहीं करता, क्योंकि वह केवल आधा विरोधाभास है? / In irrationality of \(\sqrt{2}\), which statement does not complete the proof because it is only half of the contradiction?

Correct Answer: A. (m) सम है / (m) is even. Explanation: केवल (m) सम होना विरोधाभास नहीं देता। विरोधाभास के लिए (n) भी सम सिद्ध करना जरूरी है। / Only (m) being even gives no contradiction. To get contradiction, (n) must also be proved even.

Which concept should I revise for this Mathematics MCQ?

Only (m) being even gives no contradiction. To get contradiction, (n) must also be proved even.

What exam hint can help solve this Mathematics question?

केवल (m) सम होना विरोधाभास नहीं देता। विरोधाभास के लिए (n) भी सम सिद्ध करना जरूरी है।