1
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$\cos ^{-1} x+\cos ^{-1} y+\cos ^{-1} z=3 \pi$$, then the value of $$x^{2025}+x^{2026}+x^{2027}$$ is

A
$$-$$1
B
0
C
1
D
3
2
MHT CET 2023 13th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The value of $$\tan \left(\sin ^{-1}\left(\frac{3}{5}\right)+\tan ^{-1}\left(\frac{2}{3}\right)\right)$$ is

A
$$6 / 17$$
B
$$17 / 6$$
C
$$16 / 7$$
D
$$7 / 16$$
3
MHT CET 2023 13th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\left(\tan ^{-1} x\right)^2+\left(\cot ^{-1} x\right)^2=\frac{5 \pi^2}{8}$$, then the value of $$x$$ is

A
$$-$$2
B
$$-$$1
C
1
D
2
4
MHT CET 2023 13th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The principal value of $$\sin ^{-1}(\sin (3 \pi / 4))$$ is

A
$$\pi / 4$$
B
$$-\pi / 4$$
C
$$3 \pi / 4$$
D
$$5 \pi / 4$$
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