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1
MHT CET 2025 25th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The common principal solution of the equations $\sin \theta=-\frac{1}{2}$ and $\tan \theta=\frac{1}{\sqrt{3}}$ is

A
$\frac{\pi}{6}$
B
$\frac{5 \pi}{6}$
C
$\frac{7 \pi}{6}$
D
$\frac{11 \pi}{6}$
2
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The principal solution of of $(5+3 \sin \theta)(2 \cos \theta+1)=0$ are

A
$\frac{-\pi}{3}, \frac{2 \pi}{3}$
B
$\frac{2 \pi}{3}, \frac{5 \pi}{3}$
C
$\frac{2 \pi}{3}, \frac{4 \pi}{3}$
D
$\frac{2 \pi}{3}, \frac{7 \pi}{3}$
3
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The number of values of $x$ in the interval $[0,3 \pi]$ satisfying the equation $2 \sin ^2 x+5 \sin x-3=0$ is
A
6
B
1
C
2
D
4
4
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The number of values of $x$ in the interval $[0,3 \pi]$ satisfying the equation $2 \sin ^2 x+5 \sin x-3=0$ is
A
4
B
6
C
2
D
1
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