Match the statements/expressions in Column I with the values given in Column II: Column I Column II (A) Root(s) of the expression 2²θ + ² 2θ = 2 (P) π/6 (B) Points of discontinuity of the function f (x) = ≤ft[6x/π] ≤ft[3x/π] , where [y] denotes the largest integer less than or equal to y (Q) π/4 (C) Volume of the parallelopiped with its edges represented by the vectors {i} + {j} , +{i}+{2j} and {i}+{j}+π{k} |x + 1| + |x + 2| = 4k has integer solution(s)(R) π/3 (D) Angle between vectors {a} and {b} where {a},{b} and {c} are unit vectors satisfying {a}+{b}+{{3c}} = {0} (S) π/2 (T) π [JEE Adv 2009 P2]

Question

Examsnet · Accepted Answer

Correct Answer is : (A)→(Q), (S); (B)→(P), (R), (S), (T); (C)→(T); (D)→(R)

Column I	Column II
(A) Root(s) of the expression $2\sin^2\theta + \sin^2 2\theta$ = 2	(P) $\frac{\pi}{6}$
(B) Points of discontinuity of the function f (x) = $\left[\frac{6x}{\pi}\right] \cos\left[\frac{3x}{\pi}\right]$ , where [y] denotes the largest integer less than or equal to y	(Q) $\frac{\pi}{4}$
(C) Volume of the parallelopiped with its edges represented by the vectors $\hat{i} + \hat{j}$ , $+\hat{i}+\hat{2j}$ and $\hat{i}+\hat{j}+\pi\hat{k}$	\|x + 1\| + \|x + 2\| = 4k has integer solution(s)(R) $\frac{\pi}{3}$
(D) Angle between vectors $\vec{a}$ and $\vec{b}$ where $\vec{a},\vec{b}$ and $\vec{c}$ are unit vectors satisfying $\vec{a}+\vec{b}+\sqrt{\vec{3c}}$ = $\vec{0}$	(S) $\frac{\pi}{2}$
	(T) π

IIT JEE Advanced 2009 Paper 2