1
MHT CET 2026 11th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The minimum value of $(\sin^{-1} x)^2 + (\cos^{-1} x)^2$ is............
A
$\dfrac{\pi^2}{8}$
B
$\dfrac{3\pi^2}{8}$
C
$\dfrac{5\pi^2}{8}$
D
$\dfrac{7\pi^2}{8}$
2
MHT CET 2026 11th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $\tan^{-1}(1) + \tan^{-1}(3) + \tan^{-1}(5) + \tan^{-1}\left(\dfrac{1}{4}\right) = \pi + \tan^{-1}\left(\dfrac{\alpha}{2}\right)$, then the value of $\alpha$ is...
A
$\dfrac{46}{41}$
B
$\dfrac{23}{41}$
C
$\dfrac{42}{41}$
D
$\dfrac{44}{41}$
3
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $x=\tan ^{-1}\left\{\frac{\sqrt{1+t^2}-1}{t}\right\}, y=\cos ^{-1}\left\{\frac{1-t^2}{1+t^2}\right\}, \quad$ then $\frac{\mathrm{d} y}{\mathrm{~d} x}$ is equal to

A

2

B

$\frac{1}{2}$

C

4

D

$\frac{1}{4}$

4
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$ \cot ^{-1}\left(2 \cdot 1^2\right)+\cot ^{-1}\left(2 \cdot 2^2\right)+\cot ^{-1}\left(2 \cdot 3^2\right)+\ldots \ldots \ldots \infty= $$

A

$\frac{\pi}{2}$

B

$\frac{\pi}{3}$

C

$\frac{\pi}{4}$

D

$\frac{\pi}{8}$

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