1
MHT CET 2026 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
$\sum\limits_{k=1}^{2026} \sin^{-1}\left(\cos\dfrac{k\pi}{4}\right) =$
A
$-\dfrac{\pi}{4}$
B
$0$
C
$\dfrac{\pi}{4}$
D
$\dfrac{\pi}{2}$
2
MHT CET 2026 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $\sin^{-1}\left(\tan\dfrac{\pi}{4}\right) - \sin^{-1}\left(\sqrt{\dfrac{3}{x}}\right) = \dfrac{\pi}{6}$ then $x$ is a root of the equation
A
$x^2 - x - 6 = 0$
B
$x^2 - x - 12 = 0$
C
$x^2 + x - 12 = 0$
D
$x^2 + x - 6 = 0$
3
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $3\sin^{-1}\left(\dfrac{2x}{1 + x^2}\right) - 4\cos^{-1}\left(\dfrac{1 - x^2}{1 + x^2}\right) + 2\tan^{-1}\left(\dfrac{2x}{1 - x^2}\right) = \dfrac{\pi}{3}$ then $x = ?$
A
$\sqrt{3}$
B
$1$
C
$\dfrac{1}{\sqrt{3}}$
D
$-1$
4
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $2\sin^{-1}x - 3\cos^{-1}x = 4$, then $2\sin^{-1}x + 3\cos^{-1}x =$
A
$\dfrac{6\pi - 4}{5}$
B
$\dfrac{6\pi + 4}{5}$
C
$\dfrac{5\pi - 4}{6}$
D
$\dfrac{5\pi + 4}{6}$

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