Trigonometric Functions and Equations PYQ — JEE Advanced 2009 · Shift 2 · Q23 with Solution

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)	${\pi \over 6}$
(B)	Points of discontinuity of the function $f(x) = \left[ {{{6x} \over \pi }} \right]\cos \left[ {{{3x} \over \pi }} \right]$ , where $[y]$ denotes the largest integer less than or equal to y	(Q)	${\pi \over 4}$
(C)	Volume of the parallelopiped with its edges represented by the vectors $\widehat i + \widehat j + \widehat i + 2\widehat j$ and $\widehat i + \widehat j + \pi \widehat k$	(R)	${\pi \over 3}$
(D)	Angle between vectors $\overrightarrow a$ and $\overrightarrow b$ where $\overrightarrow a$ , $\overrightarrow b$ and $\overrightarrow c$ are unit vectors satisfying $\overrightarrow a + \overrightarrow b + \sqrt 3 \overrightarrow c = \overrightarrow 0$	(S)	${\pi \over 2}$
		(T)	$\pi$

A
(A) $\to$ (Q), (S); (B) $\to$ (P), (R), (S), (T); (C) $\to$ (Q); (D) $\to$ (T)
B
(A) $\to$ (R), (S); (B) $\to$ (P), (R), (S), (T); (C) $\to$ (T); (D) $\to$ (P)
C
(A) $\to$ (Q), (S); (B) $\to$ (P), (R), (S), (T); (C) $\to$ (T); (D) $\to$ (R)
D
(A) $\to$ (P), (S); (B) $\to$ (Q), (R), (S), (T); (C) $\to$ (T); (D) $\to$ (R)

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