किस कथन से \(\sqrt{2}\) के प्रमाण में सहभाज्य शर्त के साथ वास्तविक विरोधाभास बनता है?

Which statement creates the actual contradiction with the coprime condition in the proof of \(\sqrt{2}\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

C. (a) और (b) दोनों सम हैंBoth (a) and (b) are even

Step 1

Concept

In lowest form, (a) and (b) were assumed coprime. If both are even, common factor (2) appears.

Step 2

Why this answer is correct

The correct answer is C. (a) और (b) दोनों सम हैं / Both (a) and (b) are even. In lowest form, (a) and (b) were assumed coprime. If both are even, common factor (2) appears.

Step 3

Exam Tip

सरलतम रूप में (a) और (b) सहभाज्य माने गए थे। दोनों सम होने से सामान्य गुणनखंड (2) मिल जाता है।

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Mathematics Answer, Explanation and Revision Hints

किस कथन से \(\sqrt{2}\) के प्रमाण में सहभाज्य शर्त के साथ वास्तविक विरोधाभास बनता है? / Which statement creates the actual contradiction with the coprime condition in the proof of \(\sqrt{2}\)?

Correct Answer: C. (a) और (b) दोनों सम हैं / Both (a) and (b) are even. Explanation: सरलतम रूप में (a) और (b) सहभाज्य माने गए थे। दोनों सम होने से सामान्य गुणनखंड (2) मिल जाता है। / In lowest form, (a) and (b) were assumed coprime. If both are even, common factor (2) appears.

Which concept should I revise for this Mathematics MCQ?

In lowest form, (a) and (b) were assumed coprime. If both are even, common factor (2) appears.

What exam hint can help solve this Mathematics question?

सरलतम रूप में (a) और (b) सहभाज्य माने गए थे। दोनों सम होने से सामान्य गुणनखंड (2) मिल जाता है।