1
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\sin ^{-1}\left(\frac{3}{5}\right)+\cos ^{-1}\left(\frac{12}{13}\right)=\sin ^{-1} \alpha$$, then $$\alpha=$$

A
$$\frac{56}{65}$$
B
$$\frac{61}{65}$$
C
$$\frac{63}{65}$$
D
$$\frac{62}{65}$$
2
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\tan ^{-1}\left(\frac{x-1}{x-2}\right)+\tan ^{-1}\left(\frac{x+1}{x+2}\right)=\frac{\pi}{4}$$, then the values of $$x$$ are

A
$$\pm \frac{3}{\sqrt{2}}$$
B
$$\pm \frac{1}{2}$$
C
$$\pm \frac{1}{\sqrt{2}}$$
D
$$\pm \frac{\sqrt{3}}{2}$$
3
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\sin ^{-1}\left[\sin \left(-600^{\circ}\right)\right]+\cot ^{-1}(-\sqrt{3})=$$

A
$$\frac{\pi}{6}$$
B
$$\frac{\pi}{4}$$
C
$$\frac{\pi}{3}$$
D
$$\frac{7 \pi}{6}$$
4
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\cos ^{-1}\left(\frac{4}{5}\right)+\cos ^{-1}\left(\frac{12}{13}\right)=$$

A
$$\cos ^{-1}\left(\frac{24}{25}\right)$$
B
$$\cos ^{-1}\left(\frac{33}{65}\right)$$
C
$$\cos ^{-1}\left(\frac{5}{13}\right)$$
D
$$\cos ^{-1}\left(\frac{3}{5}\right)$$
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