1
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$2 \sin \left(\theta+\frac{\pi}{3}\right)=\cos \left(\theta-\frac{\pi}{6}\right)$$, then $$\tan \theta=$$

A
$$\frac{-1}{\sqrt{3}}$$
B
$$-\sqrt{3}$$
C
$$\sqrt{3}$$
D
$$\frac{1}{\sqrt{3}}$$
2
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The principal solutions of $$\sqrt{3} \sec x+2=0$$ are

A
$$\frac{\pi}{6}, \frac{5 \pi}{6}$$
B
$$\frac{5 \pi}{6}, \frac{7 \pi}{6}$$
C
$$\frac{\pi}{3}, \frac{2 \pi}{3}$$
D
$$\frac{2 \pi}{3}, \frac{4 \pi}{3}$$
3
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$x \in\left(0, \frac{\pi}{2}\right)$$ and $$x$$ satisfies the equation $$\sin x \cos x=\frac{1}{4}$$, then the values of $$x$$ are

A
$$\frac{\pi}{12}, \frac{5 \pi}{12}$$
B
$$\frac{\pi}{8}, \frac{3 \pi}{8}$$
C
$$\frac{\pi}{8}, \frac{\pi}{4}$$
D
$$\frac{\pi}{6}, \frac{\pi}{12}$$
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