Q 1619156010.     Match the statements given in List 1 with the values given in List 2
List IList II
(A) If `\vec {a}=\hat{j}+\sqrt{3} \hat{k}, \vec{b}=-\hat{j}+\sqrt{3}\hat{k} and \vec{c}=2\sqrt{3}\hat{k}` form a triangle, then the internal angle of the triangle between `\vec{a}` and `\vec{b}` is (1) `\frac{\pi}{6}`
(B) lf `\int_{a}^{b} (f(x)-3x )dx=a^{2}-b^{2}`, then the value of `f (\frac{\pi}{6} )` is (2) `\frac{2\pi}{3} `
(C) The value of `\frac{\pi^{2}}{\ln 3}\int_{7/6}^{5/6}\sec(\pi x) dx` is (3) `\frac{\pi}{3}`
(D) The maximum value of` | Arg ( \frac{1}{1-z} ) |` for `| z | =1, z\ne 1,` is given by(4) `\pi `
(5) `\frac{\pi}{2} `


JEE 2011 ADVANCED Paper - 2
A

`A-> 2,B ->1, C-> 4, D-> 5`

B

`A-> 3,B ->1, C-> 4, D-> 5`

C

`A-> 4,B ->1, C-> 2, D-> 5`

D

`A-> 2,B ->1, C-> 3, D-> 5`

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