Match the statements/expressions in Column I with the values given in Column II: Column I Column II (A) Root(s) of the expression 2 \sin^2\theta + \sin^2 2\theta = 2 (P) \pi/6 (B) Points of discontinuity of the function f (x) = [\frac{6x}{\pi}] \cos[{3x}/\pi] , where [y] denotes the largest integer less than or equal to y (Q) \pi/4 (C) Volume of the parallelopiped with its edges represented by the vectors i^{\^}+j^{\^} , +i^{\^}+2j^{\^} and i^{\^}+j^{\^}+\pik^{\^} |x + 1| + |x + 2| = 4k has integer solution(s)(R) \pi/3 (D) Angle between vectors a^{\to} and b^{\to} where a^{\to},b^{\to} and c^{\to} are unit vectors satisfying a^{\to}+b^{\to}+\sqrt3c^{\to} = 0^{\to} (S) \pi/2 (T) π [JEE Adv 2009 P2]

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

(A)→(Q), (S); (B)→(P), (R), (S), (T); (C)→(T); (D)→(R)

(A)→(Q), (S); (B)→(P), (Q), (S), (T); (C)→(T); (D)→(S)

(A)→(P), (S); (B)→(P), (R), (S), (T); (C)→(S); (D)→(Q)

(A)→(R), (S); (B)→(P), (R), (S), (T); (C)→(T); (D)→(S)

Trigonometric Functions & Equations

Section: Mathematics

Question : 27 of 30

Marks: +1, -0

Match the statements/expressions in Column I with the values given in Column II:

Column I

Column II

(A) Root(s) of the expression 2sin2θ+sin22θ = 2

(P)

(B) Points of discontinuity of the function
f (x) = [

]cos[

] , where [y] denotes the largest integer less than or equal to y

(Q)

, +

and

+π

|x + 1| + |x + 2| = 4k has integer solution(s)(R)

(D) Angle between vectors

→

and

→

where

→

and

→

are unit vectors satisfying

→

+√3

→

(S)

(T) π

[JEE Adv 2009 P2]

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