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1
AP EAPCET 2025 - 21st May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The number of solutions of the equation $2 \sin ^2 \theta-3 \cos ^2 \theta=\sin \theta \cos \theta$ lying in the intervals $(-\pi, \pi)$ is

A

2

B

4

C

3

D

1

2
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The general solution of $\cot \frac{x}{2}-\cot x=\operatorname{cosec} \frac{x}{2}$ is
A
$\left\{\left.2 n \pi+\frac{\pi}{3} \right\rvert\, n \in z\right\}$
B
$\left\{\left.4 n \pi+\frac{\pi}{3} \right\rvert\, n \in z\right\}$
C
$\left\{\left.2 n \pi+\frac{2 \pi}{3} \right\rvert\, n \in z\right\}$
D
$\left\{\left.4 n \pi \pm \frac{2 \pi}{3} \right\rvert\, n \in z\right\}$
3
AP EAPCET 2024 - 22th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The values of $x$ in $(-\pi, \pi)$, which satisfy the equation $8^{1+\cos ^2 x+\cos ^4 x+\ldots \ldots}=4^3$ are

A
$\pm \frac{\pi}{4}, \pm \frac{3 \pi}{4}$
B
$\pm \frac{\pi}{6}, \frac{\pi}{3}$
C
$\pm \frac{\pi}{8}$
D
$\frac{\pi}{3}$
4
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The general solution of the equation $\tan x+\tan 2 x-\tan 3 x=0$ is
A
$\left\{x \left\lvert\, x=n \pi \pm \frac{\pi}{3}\right.\right.$ or $\left.\frac{n \pi}{2}, n \in Z\right\}$
B
$\left\{x \left\lvert\, x=n \pi \pm \frac{\pi}{3}\right.\right.$ or $\left.n \pi, n \in Z\right\}$
C
$\left\{x \left\lvert\, x=n \pi \pm \frac{\pi}{3}\right.\right.$ or $\frac{n \pi}{2}$ or $\left.n \pi, n \in Z\right\}$
D
$\left\{x \left\lvert\, x=n \pi \pm \frac{\pi}{6}\right.\right.$ or $\left.\frac{n \pi}{2}, n \in Z\right\}$
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