किस विकल्प में \(\sqrt{3}\) के प्रमाण का सही विरोधाभास है?

Which option gives the correct contradiction in the proof of \(\sqrt{3}\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

B. (p) और (q) दोनों (3) से विभाज्य हैं जबकि वे सहभाज्य माने गए थेBoth (p) and (q) are divisible by (3) although they were assumed coprime

Step 1

Concept

Both being divisible by (3) gives common factor (3). This breaks the coprime condition.

Step 2

Why this answer is correct

The correct answer is B. (p) और (q) दोनों (3) से विभाज्य हैं जबकि वे सहभाज्य माने गए थे / Both (p) and (q) are divisible by (3) although they were assumed coprime. Both being divisible by (3) gives common factor (3). This breaks the coprime condition.

Step 3

Exam Tip

दोनों का (3) से विभाज्य होना सामान्य गुणनखंड (3) देता है। यह सहभाज्य शर्त को तोड़ता है।

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Mathematics Answer, Explanation and Revision Hints

किस विकल्प में \(\sqrt{3}\) के प्रमाण का सही विरोधाभास है? / Which option gives the correct contradiction in the proof of \(\sqrt{3}\)?

Correct Answer: B. (p) और (q) दोनों (3) से विभाज्य हैं जबकि वे सहभाज्य माने गए थे / Both (p) and (q) are divisible by (3) although they were assumed coprime. Explanation: दोनों का (3) से विभाज्य होना सामान्य गुणनखंड (3) देता है। यह सहभाज्य शर्त को तोड़ता है। / Both being divisible by (3) gives common factor (3). This breaks the coprime condition.

Which concept should I revise for this Mathematics MCQ?

Both being divisible by (3) gives common factor (3). This breaks the coprime condition.

What exam hint can help solve this Mathematics question?

दोनों का (3) से विभाज्य होना सामान्य गुणनखंड (3) देता है। यह सहभाज्य शर्त को तोड़ता है।