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1
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $x + y = \dfrac{\pi}{4}$, then $(1 + \tan x)(1 + \tan y) =$
A
$1$
B
$2$
C
$3$
D
$0$
2
MHT CET 2026 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The value of $\cos 15^\circ - \sin 15^\circ$ is ......
A
$\sqrt{2}$
B
$-\sqrt{2}$
C
$\dfrac{1}{\sqrt{2}}$
D
$-\dfrac{1}{\sqrt{2}}$
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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