1
MHT CET 2023 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The value of $$2 \tan ^{-1} \frac{1}{2}+\tan ^{-1} \frac{1}{7}$$

A
$$\tan ^{-1}\left(\frac{17}{31}\right)$$
B
$$\tan ^{-1}\left(\frac{19}{31}\right)$$
C
$$\tan ^{-1}\left(\frac{31}{17}\right)$$
D
$$\tan ^{-1}\left(\frac{31}{19}\right)$$
2
MHT CET 2023 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\text { If } y=\sqrt{\frac{1-\sin ^{-1}(x)}{1+\sin ^{-1}(x)}} \text {, then } \frac{\mathrm{d} y}{\mathrm{~d} x} \text { at } x=0 \text { and } y=1 \text { is }$$

A
$$-2$$
B
$$-1$$
C
1
D
2
3
MHT CET 2023 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The domain of the function $$\mathrm{f}(x)=\sin ^{-1}\left(\frac{|x|+5}{x^2+1}\right)$$ is $$(-\infty,-a] \cup[a, \infty)$$. Then a is equal to

A
$$\frac{\sqrt{17}}{2}+1$$
B
$$\frac{\sqrt{17}-1}{2}$$
C
$$\frac{1+\sqrt{17}}{2}$$
D
$$\frac{\sqrt{17}}{2}-1$$
4
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
$$\frac{3 \pi}{4}$$
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