1
MHT CET 2023 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

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

A
$$\frac{5 \pi}{6}$$
B
$$\frac{\pi}{2}$$
C
$$\frac{2 \pi}{3}$$
D
$$\frac{3 \pi}{4}$$
2
MHT CET 2023 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\tan ^{-1} a+\tan ^{-1} b+\tan ^{-1} c=\pi$$, then which of the following statement is true?

A
$$a+b-c=a b c$$
B
$$a+b+c=2 a b c$$
C
$$\mathrm{abc}=1$$
D
$$a+b+c=a b c$$
3
MHT CET 2023 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Considering only the principal values of an inverse function, the set

$$\mathrm{A}=\left\{x \geq 0 / \tan ^{-1} x+\tan ^{-1} 6 x=\frac{\pi}{4}\right\}$$

A
is an empty set.
B
is a singleton set.
C
contains more than two elements.
D
contains two elements.
4
MHT CET 2023 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The solution of the equation $$\tan ^{-1}(1+x)+\tan ^{-1}(1-x)=\frac{\pi}{2}$$ is

A
$$x=1$$
B
$$x=0$$
C
$$x=-1$$
D
$$x=\pi$$
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