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1
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The sum to infinite terms of the series $\tan ^{-1}\left(\frac{1}{3}\right)+\tan ^{-1}\left(\frac{2}{9}\right)+\ldots \ldots . .+\tan ^{-1}\left(\frac{2^{n-1}}{1+2^{2 n-1}}\right)+\ldots \ldots$. is
A
$\frac{\pi}{4}$
B
$\frac{\pi}{2}$
C
$\frac{\pi}{6}$
D
$\frac{\pi}{3}$
2
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $4 \sin ^{-1} x+\cos ^{-1} x=\pi$ then $x=$
A
$\frac{\sqrt{3}}{2}$
B
$0$
C
$\frac{1}{2}$
D
$\frac{1}{\sqrt{2}}$
3
MHT CET 2024 16th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $\tan ^{-1}\left(\frac{1}{4}\right)+\tan ^{-1}\left(\frac{2}{9}\right)=\frac{1}{2} \cos ^{-1} x$, then $x$ is

A
$\frac{1}{5}$
B
$\frac{2}{5}$
C
$\frac{3}{5}$
D
$\frac{4}{5}$
4
MHT CET 2024 16th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $\cos ^{-1}\left(\frac{12}{13}\right)+\sin ^{-1}\left(\frac{3}{5}\right)=\sin ^{-1} \mathrm{P}$, then the value of $P$ is

A
$\frac{63}{65}$
B
$\frac{56}{65}$
C
$\frac{48}{65}$
D
$\frac{36}{65}$
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