1
MHT CET 2026 11th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The approximate value of $\sqrt[3]{63}$ is
A
$3.9791$
B
$3.8791$
C
$3.9581$
D
$4.0205$
2
MHT CET 2026 11th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The equation of the tangent to the curve $y = 3x^3 - 3x^2 + x$ at $x = 1$ is
A
$4x - y + 3 = 0$
B
$4x + y - 3 = 0$
C
$4x - y - 3 = 0$
D
$4x + y + 3 = 0$
3
MHT CET 2026 11th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
$\int \dfrac{x + 2}{x^2 - 7x + 12} dx$ is equal to
A
$-5\log|x - 3| + 6\log|x - 4| + c$
B
$-5\log|x - 3| - 6\log|x - 4| + c$
C
$5\log|x - 3| - 6\log|x - 4| + c$
D
$5\log|x - 3| + 6\log|x - 4| + c$
4
MHT CET 2026 11th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $\int \dfrac{dx}{\sqrt{2ax - x^2}} = f(g(x)) + c$, where $c$ is constant of integration, then $f(x), g(x)$ are respectively equal to
A
$\sin^{-1} x, \dfrac{x - a}{a}$
B
$\sin^{-1} x, \dfrac{x + a}{a}$
C
$\tan^{-1} x, \dfrac{x - a}{a}$
D
$\tan^{-1} x, \dfrac{x + a}{a}$

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