यदि \(\frac{p}{q}\) सरलतम रूप में है तो कौन-सी स्थिति \(\sqrt{3}\) के प्रमाण में विरोधाभास बनाती है?
If \(\frac{p}{q}\) is in lowest form, which situation creates contradiction in the proof of \(\sqrt{3}\)?
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Correct Answer
D. (p) और (q) दोनों (3) से विभाज्य हैंBoth (p) and (q) are divisible by (3)
Concept
If both are divisible by (3), common factor (3) appears. This breaks the coprime condition.
Why this answer is correct
The correct answer is D. (p) और (q) दोनों (3) से विभाज्य हैं / Both (p) and (q) are divisible by (3). If both are divisible by (3), common factor (3) appears. This breaks the coprime condition.
Exam Tip
दोनों (3) से विभाज्य हों तो (3) सामान्य गुणनखंड बन जाता है। यह सहभाज्य शर्त को तोड़ता है।
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