1
MHT CET 2024 16th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The general solution of the equation $\sqrt{3} \cos \theta+\sin \theta=\sqrt{2}$ is

A
$\mathrm{n} \pi+(-1)^{\mathrm{n}} \frac{\pi}{2}+\frac{\pi}{6}, \mathrm{n} \in \mathbb{Z}$
B
$\mathrm{n} \pi+(-1)^{\mathrm{n}} \frac{\pi}{2}-\frac{\pi}{6}, \mathrm{n} \in \mathbb{Z}$
C
$\mathrm{n} \pi+(-1)^{\mathrm{n}} \frac{\pi}{4}-\frac{\pi}{3}, \mathrm{n} \in \mathbb{Z}$
D
$\mathrm{n} \pi+(-1)^{\mathrm{n}} \frac{\pi}{4}+\frac{\pi}{3}, \mathrm{n} \in \mathbb{Z}$
2
MHT CET 2024 16th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Let $P=\{\theta / \sin \theta-\cos \theta=\sqrt{2} \cos \theta\}$ and $Q=\{\theta / \sin \theta+\cos \theta=\sqrt{2} \sin \theta\}$ be two sets, then

A
$\mathrm{P} \subset \mathrm{Q}$ and $\mathrm{Q}-\mathrm{P} \neq \phi$
B
$\mathrm{Q} \not \subset \mathrm{P}$
C
$P \not Q$
D
$\mathrm{P}=\mathrm{Q}$
3
MHT CET 2024 16th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The number of values of $x$ in the interval $(0,5 \pi)$ satisfying the equation $3 \sin ^2 x-7 \sin x+2=0$

A
0
B
5
C
6
D
10
4
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The solution set of the equation $\tan x+\sec x=2 \cos x$, in the interval $[0,2 \pi]$ is

A
$\left\{\frac{\pi}{6}, \frac{7 \pi}{6}, \frac{3 \pi}{2}\right\}$
B
$\left\{\frac{5 \pi}{6}, \frac{7 \pi}{6}, \frac{3 \pi}{2}\right\}$
C
$\left\{\frac{\pi}{6}, \frac{5 \pi}{6}, \frac{3 \pi}{2}\right\}$
D
$\left\{\frac{5 \pi}{6}, \frac{11 \pi}{6}, \frac{3 \pi}{2}\right\}$
MHT CET Subjects
EXAM MAP