JEE Math Practice Question

Statement-1 : The value of the integral $$\int\limits_{\pi /6}^{\pi /3} {{{dx} \over {1 + \sqrt {\tan \,x} }}} $$ is equal to $$\pi /6$$ Statement-2 : $$\int\limits_a^b {f\left( x \right)} dx = \int\limits_a^b {f\left( {a + b - x} \right)} dx.$$

1. A.Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
2. B.Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
3. C.Statement- 1 is true; Statement-2 is False.
4. D.Statement-1 is false; Statement-2 is true.