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1
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
$\frac{2 \pi}{3}, \frac{7 \pi}{3}$
2
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
3
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
4
MHT CET 2025 22nd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $\frac{1}{6} \sin \theta, \cos \theta, \tan \theta$ are in G.P., then the general solution of $\theta$ is

A
$2 \mathrm{n} \pi \pm \frac{\pi}{3}, \mathrm{n} \in \mathbb{Z}$
B
$n \pi+\frac{\pi}{3}, n \in \mathbb{Z}$
C
$\mathrm{n} \pi+\frac{\pi}{4}, \mathrm{n} \in \mathbb{Z}$
D
$\quad 2 \mathrm{n} \pi \pm \frac{\pi}{6}, \mathrm{n} \in \mathbb{Z}$
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