1
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0

The principal value of $$\sin ^{-1}\left(\sin \left(\frac{2 \pi}{3}\right)\right)$$ is

A
$$\left(\frac{\pi}{3}\right)$$
B
$$\left(\frac{2 \pi}{3}\right)$$
C
$$-\left(\frac{2 \pi}{3}\right)$$
D
$$\left(\frac{5 \pi}{3}\right)$$
2
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The value of $$\tan ^{-1} 2+\tan ^{-1} 3$$ is

A
$$\left(\frac{3 \pi}{4}\right)^c$$
B
$$\left(\frac{\pi}{2}\right)^c$$
C
$$\left(\frac{\pi}{4}\right)^c$$
D
$$\left(\frac{\pi}{6}\right)^{\circ}$$
3
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$y=\tan ^{-1}\left[\frac{\log \left(\frac{e}{x^2}\right)}{\log \left(e x^2\right)}\right]+\tan ^{-1}\left[\frac{3+2 \log x}{1-6 \log x}\right]$$, then $$\frac{d^2 y}{d x^2}=$$

A
$$\frac{2}{1+x^2}$$
B
$$\frac{1}{1+x^2}$$
C
$$\frac{3}{1+x^2}$$
D
0
4
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The value of $$\sin ^{-1}\left(\frac{-1}{2}\right)+\sin ^{-1}\left(\frac{-\sqrt{3}}{2}\right)$$ is,

A
$$\frac{\pi}{3}$$
B
$$\frac{-\pi}{6}$$
C
$$\frac{-\pi}{3}$$
D
$$\frac{-\pi}{2}$$
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