1
MHT CET 2024 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $x \in[-1,1]$, then the value of $\int \mathrm{e}^{\sin ^{-1} x}\left(\frac{x+\sqrt{1-x^2}}{\sqrt{1-x^2}}\right) \mathrm{d} x$ is

A
$e^{\sin ^{-1} x}+c$, where $c$ is constant of integration.
B
$\mathrm{e}^{\sin ^{-1} x} \cdot \sin x+\mathrm{c}$, where c is constant of integration.
C
$\mathrm{e}^{\sin ^{-1} x} \cdot \cos x+\mathrm{c}$, where c is constant of integration.
D
$\mathrm{e}^{\sin ^{-1} x} \cdot x+\mathrm{c}$, where c is constant of integration.
2
MHT CET 2024 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The probability that a person who undergoes a bypass surgery will recover is 0.6 . the probability that of the six patients who undergo similar operations, half of them will recover is __________.

A
0.2762
B
0.1852
C
0.2074
D
0.7235
3
MHT CET 2024 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The distance ' $s$ ' in meters covered by a body in $t$ seconds is given by $s=3 t^2-8 t+5$. The body will stop after

A
1 sec
B
$\frac{3}{4} \mathrm{sec}$
C
$\frac{4}{3} \mathrm{sec}$
D
4 sec
4
MHT CET 2024 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

For a particle moving in vertical circle, the total energy at different positions along the path [The motion is under gravity]

A
may increase or decrease.
B
decreases.
C
is conserved.
D
increases.
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