1
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $0 < x < \frac{1}{2}$ and $\alpha=\sin ^{-1} x+\cos ^{-1}\left(\frac{x}{2}+\frac{\sqrt{3-3 x^2}}{2}\right)$, then $\tan \alpha+\cot \alpha$ is equal to

A
$\frac{4}{\sqrt{3}}$
B
$4 \sqrt{3}$
C
$\frac{4 x}{1-x^2}$
D
$x \sqrt{1-x^2}$
2
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
$\cosh (\log 4)$ is equal to
A
$\frac{8}{17}$
B
$\frac{17}{8}$
C
0
D
$\frac{9}{8}$
3
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
In $\triangle A B C, a^2 \sin 2 B+b^2 \sin 2 A$ is equal to
A
$2 a b \cos A$
B
$2 a b \sin A$
C
$2 \mathrm{ab} \sin \mathrm{C}$
D
$2 a b \cos C$
4
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { In } \triangle A B C, \frac{r_2\left(r_1+r_3\right)}{\sqrt{r_1 r_2+r_2 r_3+r_3 r_1}} \text { is equal to } $$

A
a
B
b
C
c
D
s
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