किस विकल्प में \(\sqrt{3}\) के प्रमाण का सही विरोधाभास है?
Which option gives the correct contradiction in the proof of \(\sqrt{3}\)?
Explanation opens after your attempt
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
Concept
Both being divisible by (3) gives common factor (3). This breaks the coprime condition.
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.
Exam Tip
दोनों का (3) से विभाज्य होना सामान्य गुणनखंड (3) देता है। यह सहभाज्य शर्त को तोड़ता है।
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