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

The equation of normal to the curve $x=\theta+\sin \theta, y=1+\cos \theta$ at $\theta=\frac{\pi}{2}$ is

A
$2 x+2 y-\pi=0$
B
$2 x-y-\pi=0$
C
$2 x-2 y-\pi=0$
D
$2 x+y-\pi=0$
2
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
3
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
$\pi$
4
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
$11,-6$

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