1
MHT CET 2024 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The approximate value of $\sqrt[3]{0.026}$ is

A
0.2762
B
0.2632
C
0.2963
D
0.2692
2
MHT CET 2024 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The length of the longest interval, in which the function $3 \sin x-4 \sin ^3 x$ is increasing, is

A
$\frac{\pi}{3}$
B
$\frac{\pi}{2}$
C
$\frac{3 \pi}{2}$
D
$\pi$
3
MHT CET 2024 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If Rolle's theorem holds for the function $\mathrm{f}(x)=x^3+\mathrm{bx}{ }^2+\mathrm{ax}+5$ on $[1,3]$ with $\mathrm{c}=2+\frac{1}{\sqrt{3}}$, then the values of $a$ and $b$ respectively are

A
$-11,6$
B
$-11,-6$
C
$11,6$
D
$11,-6$
4
MHT CET 2024 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The normal to the curve, $y(x-2)(x-3)=x+6$ at the point, where the curve intersects the Y-axis, passes through the point

A
$\left(-\frac{1}{2},-\frac{1}{2}\right)$
B
$\left(\frac{1}{2}, \frac{1}{2}\right)$
C
$\left(\frac{1}{2},-\frac{1}{3}\right)$
D
$\left(\frac{1}{2}, \frac{1}{3}\right)$

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