1
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The area bounded by the parabola $$y=x^2$$ and the line $$y=x$$ is

A
$$\frac{1}{2}$$ sq. units
B
$$\frac{1}{3}$$ sq. units
C
$$\frac{2}{3}$$ sq. units
D
$$\frac{1}{6}$$ sq. units
2
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$y=\sin ^{-1}\left[\cos \sqrt{\frac{1+x}{2}}\right]+x^x$$, then $$\frac{d y}{d x}$$ at $$x=1$$ is

A
$$\frac{5}{4}$$
B
$$\frac{-1}{4}$$
C
$$\frac{3}{4}$$
D
$$\frac{-5}{4}$$
3
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

Negation of $$(p \wedge q) \rightarrow(\sim p \vee r)$$ is

A
$$p \vee q \vee(\sim r)$$
B
$$p \wedge q \wedge r$$
C
$$\sim p \wedge q \wedge r$$
D
$$p \wedge q \wedge(\sim r)$$
4
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$A^{-1}=\left[\begin{array}{lll}3 & 2 & 6 \\ 1 & 1 & 2 \\ 2 & 5 & 5\end{array}\right]$$, then $$A=$$

A
$$\left[\begin{array}{ccc}-5 & 20 & -2 \\ -1 & 3 & 0 \\ 3 & -11 & 1\end{array}\right]$$
B
$$\left[\begin{array}{ccc}-5 & 20 & 2 \\ -1 & 3 & 0 \\ 3 & 11 & 1\end{array}\right]$$
C
$$\left[\begin{array}{ccc}-5 & 20 & 2 \\ 1 & 3 & 0 \\ 3 & 11 & -1\end{array}\right]$$
D
$$\left[\begin{array}{ccc}-5 & 20 & -2 \\ 1 & 3 & 0 \\ 3 & 11 & 1\end{array}\right]$$
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