1
MHT CET 2024 16th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $\cos ^{-1}\left(\frac{12}{13}\right)+\sin ^{-1}\left(\frac{3}{5}\right)=\sin ^{-1} \mathrm{P}$, then the value of $P$ is

A
$\frac{63}{65}$
B
$\frac{56}{65}$
C
$\frac{48}{65}$
D
$\frac{36}{65}$
2
MHT CET 2024 16th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The rate of change of the volume of a sphere with respect to its surface area, when its radius is 2 cm , is _________ $\mathrm{cm}^3 / \mathrm{cm}^2$.

A
0.1
B
0.5
C
1
D
2
3
MHT CET 2024 16th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

In a triangle $\mathrm{ABC}, l(\mathrm{AB})=\sqrt{23}$ units, $l(\mathrm{BC})=3$ units, $l(\mathrm{CA})=4$ units, then $\frac{\cot A+\cot C}{\cot B}$ is

A
1
B
2
C
4
D
8
4
MHT CET 2024 16th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Truth values of $\mathrm{p} \rightarrow \mathrm{r}$ is F and $\mathrm{p} \leftrightarrow \mathrm{q}$ is F . Then the truth values of $(\sim p \vee q) \rightarrow(p \vee \sim q)$ and $(p \wedge \sim q) \rightarrow(\sim p \wedge q)$ are respectively

A
$\mathrm{T, F}$
B
$\mathrm{F}, \mathrm{T}$
C
$\mathrm{T}, \mathrm{T}$
D
$\mathrm{F, F}$
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