1
MHT CET 2026 11th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $y = \sqrt{x^2 + 8x + 3}$, then the value of $\dfrac{d^2 y}{dx^2}$ at $x = 3$ is
A
$\dfrac{-13}{216}$
B
$\dfrac{13}{216}$
C
$\dfrac{15}{216}$
D
$\dfrac{-15}{216}$
2
MHT CET 2026 11th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $y = \sqrt{\tan x + \sqrt{\tan x + \sqrt{\tan x + \cdots \cdots \cdots \infty}}}$, then $\left(\dfrac{dy}{dx}\right)^2$ at $x = \dfrac{\pi}{4}$ is
A
$\dfrac{5}{4}$
B
$\dfrac{-5}{4}$
C
$\dfrac{4}{5}$
D
$\dfrac{-4}{5}$
3
MHT CET 2026 11th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $y = \sqrt{x + \sqrt{x^2 + 1}}$, then the value of $\dfrac{dy}{dx}$ is
A
$\dfrac{\sqrt{x^2 + 1} + x}{2y\sqrt{x^2 + 1}}$
B
$\dfrac{\sqrt{x^2 + 1} + x}{y\sqrt{x^2 + 1}}$
C
$\dfrac{\sqrt{x^2 + 1} - x}{2y\sqrt{x^2 + 1}}$
D
$\dfrac{\sqrt{x^2 + 1} + x}{2y\sqrt{x^2 - 1}}$
4
MHT CET 2026 11th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $y = \sin(e^{\log 2x})$, then the value of $\dfrac{dy}{dx}$ at $x = \dfrac{\pi}{2}$ is
A
$2$
B
$-2$
C
$1$
D
$-1$

MHT CET Papers

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