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1
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $0 \leq x \leq \dfrac{\pi}{2}$ , then the number of values of $x$ for which $\sin x - \sin 2x + \sin 3x = 0$ is
A
$1$
B
$2$
C
$3$
D
$4$
2
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $\sec 4\theta - \sec 2\theta = 2$, then $\theta =$
A
$n\pi + \dfrac{\pi}{8}, \dfrac{n\pi}{5} + \dfrac{\pi}{6}, n \in Z$
B
$n\pi + \dfrac{\pi}{6}, \dfrac{n\pi}{5} + \dfrac{\pi}{8}, n \in Z$
C
$n\pi + \dfrac{\pi}{2}, \dfrac{n\pi}{5} + \dfrac{\pi}{10}, n \in Z$
D
$n\pi + \dfrac{\pi}{3}, n\pi + \dfrac{\pi}{10}, n \in Z$
3
MHT CET 2026 15th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $\cos(p\theta) + \cos(q\theta) = 0$ and $p \neq q$, then the general value of $\theta$ (where n is any integer) is...
A
$\dfrac{(3n+1)\pi}{p - q}$
B
$\dfrac{(2n+1)\pi}{p \pm q}$
C
$\dfrac{(n \pm 1)\pi}{p \pm q}$
D
$\dfrac{(n+2)\pi}{p + q}$
4
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The general solutions of the equation $\tan ^2 \theta+\sec 2 \theta=1$ are

A

$\mathrm{n} \pi, \mathrm{n} \pi \pm \frac{\pi}{3}, \mathrm{n} \in \mathbb{Z}$

B

$\mathrm{n} \pi, \mathrm{n} \pi \pm \frac{\pi}{4}, \mathrm{n} \in \mathbb{Z}$

C

$\quad \frac{\mathrm{n} \pi}{4}, \frac{\mathrm{n} \pi}{4} \pm \frac{\pi}{3}, \mathrm{n} \in \mathbb{Z}$

D

$\quad \mathrm{n} \pi, \mathrm{n} \pi \pm \frac{\pi}{6}, \mathrm{n} \in \mathbb{Z}$

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