यदि किसी प्रमाण में \(\sqrt{3}=\frac{a}{b}\) लिखा है पर (a,b) सहभाज्य नहीं बताए गए, तो कौन-सी कमी रहेगी?

If a proof writes \(\sqrt{3}=\frac{a}{b}\) but does not state (a,b) are coprime, what weakness remains?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

A. दोनों (3) से विभाज्य मिलने पर निर्णायक विरोधाभास नहीं बनेगाA decisive contradiction will not form when both become divisible by (3)

Step 1

Concept

Without the coprime condition, getting common factor (3) will not be a sufficient contradiction.

Step 2

Why this answer is correct

The correct answer is A. दोनों (3) से विभाज्य मिलने पर निर्णायक विरोधाभास नहीं बनेगा / A decisive contradiction will not form when both become divisible by (3). Without the coprime condition, getting common factor (3) will not be a sufficient contradiction.

Step 3

Exam Tip

सहभाज्य शर्त के बिना सामान्य गुणनखंड (3) मिलना पर्याप्त विरोधाभास नहीं होगा।

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Mathematics Answer, Explanation and Revision Hints

यदि किसी प्रमाण में \(\sqrt{3}=\frac{a}{b}\) लिखा है पर (a,b) सहभाज्य नहीं बताए गए, तो कौन-सी कमी रहेगी? / If a proof writes \(\sqrt{3}=\frac{a}{b}\) but does not state (a,b) are coprime, what weakness remains?

Correct Answer: A. दोनों (3) से विभाज्य मिलने पर निर्णायक विरोधाभास नहीं बनेगा / A decisive contradiction will not form when both become divisible by (3). Explanation: सहभाज्य शर्त के बिना सामान्य गुणनखंड (3) मिलना पर्याप्त विरोधाभास नहीं होगा। / Without the coprime condition, getting common factor (3) will not be a sufficient contradiction.

Which concept should I revise for this Mathematics MCQ?

Without the coprime condition, getting common factor (3) will not be a sufficient contradiction.

What exam hint can help solve this Mathematics question?

सहभाज्य शर्त के बिना सामान्य गुणनखंड (3) मिलना पर्याप्त विरोधाभास नहीं होगा।