A) Statement − I is true; Statement − II is true; Statement − II is a correct explanation for Statement − I.
B) Statement − I is true; Statement − II is true; Statement − II is a not a correct explanation for Statement − I.
C) Statement − I is true; Statement − II is false.
D) Statement − I is false; Statement − II is true.
Correct Answer: D
Solution :
\[I=\int\limits_{\pi /6}^{\pi /3}{\frac{dx}{1+\sqrt{\tan x}}}\] ? (i) \[I=\int\limits_{\pi /6}^{\pi /3}{\frac{dx}{1+\sqrt{\cot x}}}\] ? (ii) Adding (i) and (ii) \[\Rightarrow \]\[2I=\int\limits_{\lambda /6}^{\pi /3}{1dx}\] \[\Rightarrow \]\[2I=\frac{\pi }{3}-\frac{\pi }{6}\] \[2I=\frac{\pi }{6}\] \[\Rightarrow \]\[I=\frac{\pi }{12}\]You need to login to perform this action.
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