1
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $\cos ^{-1} 2 x+\cos ^{-1} 3 x=\frac{\pi}{3}$ and $4 x^2=\frac{a}{b}$, then $a+b$ is equal to
A
12
B
11
C
31
D
10
2
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $\theta=\sec ^{-1}(\cosh u)$, then $u=$
A
$\log _e\left(\cot \left(\frac{\theta}{2}-\frac{\pi}{4}\right)\right)$
B
$\log _e\left(\tan \left(\frac{\theta}{2}-\frac{\pi}{4}\right)\right)$
C
$\log _\theta\left(\tan \left(\frac{\pi}{4}-\frac{\theta}{2}\right)\right)$
D
$\log _e\left(\tan \left(\frac{\pi}{4}+\frac{\theta}{2}\right)\right)$
3
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
In $\triangle A B C$, if $4 r_1=5 r_2=6 r_3$, then $\sin ^2 \frac{A}{2}+\sin ^2 \frac{B}{2}+\sin ^2 \frac{C}{2}=$
A
$\frac{19}{22}$
B
$\frac{25}{33}$
C
$\frac{74}{99}$
D
$\frac{28}{33}$
4
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
In $\triangle A B C, r_1 \cot \frac{A}{2}+r_2 \cot \frac{B}{2}+m_3 \cot \frac{C}{2}=$
A
$3 \Delta$
B
$3 S$
C
$\frac{s}{\Delta}$
D
$\Delta$
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