1
MHT CET 2026 17th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $f(x) = \dfrac{1 - x}{1 + x}$, then $f(f(\cos x)) =$
A
$\cos x$
B
$x$
C
$\tan\dfrac{x}{2}$
D
$\cos\dfrac{x}{2}$
2
MHT CET 2026 17th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If the function $f(x) = \dfrac{4\sqrt{2}(\sin 3x + \sin x)}{2\sin 2x\sin\dfrac{3x}{2} + \cos\dfrac{5x}{2} - \cos\dfrac{3x}{2}}$ for $x \neq \dfrac{\pi}{2}$ is continuous at $x = \dfrac{\pi}{2}$, then the value of $f\left(\dfrac{\pi}{2}\right)$ is equal to
A
$(2)^2$
B
$(3)^2$
C
$4\sqrt{2}$
D
$2\sqrt{2}$
3
MHT CET 2026 17th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $f(x) = \cos x\,\cos 2x\,\cos 4x\,\cos 8x\,\cos 16x$, then $f'\left(\dfrac{\pi}{4}\right) =$
A
$\text{cosec}\left(\dfrac{\pi}{4}\right)$
B
$\cos\left(\dfrac{\pi}{4}\right)$
C
$\tan\left(\dfrac{\pi}{4}\right)$
D
$0$
4
MHT CET 2026 17th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $y = \dfrac{1}{3x + 5}$, then the value of $\dfrac{d^9 y}{dx^9}$ is..
A
$\dfrac{9! \times 3^9}{(3x + 5)^9}$
B
$\dfrac{(-1)^8 \times 9! \times 3^9}{(3x + 5)^9}$
C
$\dfrac{(-1)^9 \times 9! \times 3^9}{(3x + 5)^{10}}$
D
$\dfrac{(-1)^8 \times 8! \times 3^9}{(3x + 5)^{10}}$

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