Match the following \( \mathrm{P} \) Column - I Column - II W (A) N...

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Match the following
\( \mathrm{P} \)
Column - I
Column - II
W
(A) Number of solutions of \( \sin ^{2} \theta+3 \cos \theta=3 \)
(p) 0
in \( [-\pi, \pi] \)
(B) Number of solutions of \( \sin x \cdot \tan 4 x=\cos x \)
(q) 1 in \( (0, \pi) \)
(C) Number of solutions of equation
(r) 4
\( (1-\tan \theta)(1+\tan \theta) \sec ^{2} \theta+2^{\tan ^{2} \theta}=0 \) where \( \theta \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right) \)
(D) If \( [\sin x]+[\sqrt{2} \cos x]=-3 \), where \( x \in[0,2 \pi] \)
(s) 5 then [ \( \sin 2 x] \) equals (Here [.] denotes G.I.F.)
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