1
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $f(x) = \dfrac{4x + 3}{6x - 4}$, $x \neq \dfrac{2}{3}$ and $(\text{fof})(x) = g(x)$ where $g: \mathbb{R} - \left\{\dfrac{2}{3}\right\} \rightarrow \mathbb{R} - \left\{\dfrac{2}{3}\right\}$, then $(g\,o\,g\,o\,g\,o\,g\,o\,g)\,(3) =$
A
$3$
B
$\dfrac{1}{3}$
C
$3^5$
D
$\dfrac{1}{3^5}$
2
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If the derivative of the function $f(x) = \begin{cases} ax^2 + b & \text{if } x < -1 \\ bx^2 + ax + 4 & \text{if } x \geq -1 \end{cases}$ is continuous everywhere then
A
$a = 2, b = 3$
B
$a = 3, b = 2$
C
$a = -2, b = 3$
D
$a = -3, b = -2$
3
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The derivative of $\log_8(\log_5 x)$ w. r. t. $x$ is
A
$\dfrac{1}{\log_5 8\log x}$
B
$\dfrac{1}{x\log 5\log x}$
C
$\dfrac{1}{x\log x\log 8\log 5}$
D
$\dfrac{1}{x\log 8\log x}$
4
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $y^{\frac{1}{m}} + y^{\frac{-1}{m}} = 2x$ , then $(x^2 - 1)y_1^{\ 2} =$
A
$my^2$
B
$m^2 y^2$
C
$m^2 y$
D
$my$

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