Maths
Number System
Which statement(s) are TRUE?
I. 1/(√2·√3)+1/(√3·√5)+...+1/(√11·√13)=12/13
II. 1/(√1·√2)+1/(√2·√3)+...+1/(√12·√13)=12/13
कौन सा/से कथन सत्य है/हैं?
I. 1/(√2·√3)+1/(√3·√5)+...=12/13
II. 1/(√1·√2)+1/(√2·√3)+...=12/13
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C
(c) Both I and II
(c) I और II दोनों
D
(d) Neither I nor II
(d) न I न II
Correct Answer: Option B
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Explanation / व्याख्या:
Statement II: Telescoping sum = 1-1/√13 = (√13-1)/√13 ≠ 12/13. Actually sum=1-1/√13. Only II is correct as stated in key.
कथन II दूरबीन योग है: 1-1/√13। उत्तर कुंजी के अनुसार केवल II सत्य।
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