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1
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $33\theta = \pi$, then the value of $\cos\theta \cos2\theta \cos4\theta \cos8\theta \cos16\theta$ is
A
$\dfrac{1}{16}$
B
$\dfrac{1}{32}$
C
$\dfrac{1}{64}$
D
$\dfrac{-1}{32}$
2
MHT CET 2026 15th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $P = \tan 20^\circ$, then the value of $\dfrac{\tan 160^\circ - \tan 110^\circ}{1 + \tan 160^\circ \tan 110^\circ}$ in terms of $P$, is...
A
$\dfrac{1+P^2}{2P^2}$
B
$\dfrac{1+P^2}{2P}$
C
$\dfrac{1-P^2}{2P^2}$
D
$\dfrac{1-P^2}{2P}$
3
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $\sin (\alpha+\beta)=1, \sin (\alpha-\beta)=\frac{1}{2}, \alpha, \beta \in\left[0, \frac{\pi}{2}\right]$, then $\tan (\alpha+2 \beta) \cdot \tan (2 \alpha+\beta)=$

A

1

B

-1

C

0

D

4

4
MHT CET 2025 26th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $0 \leq x \leq \pi$ and $81^{\sin ^2 x}+81^{\cos ^2 x}=30$ Then $x$ takes the value

A

$\frac{\pi}{6}, \frac{\pi}{3}$

B

$\frac{\pi}{3}, \frac{\pi}{4}$

C

$\frac{5 \pi}{6}, \frac{\pi}{2}$

D

$\frac{2 \pi}{3}, \frac{\pi}{4}$

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