1
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
$$\frac{-5}{4}$$
2
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
$$p \wedge q \wedge(\sim r)$$
3
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
$$\left[\begin{array}{ccc}-5 & 20 & -2 \\ 1 & 3 & 0 \\ 3 & 11 & 1\end{array}\right]$$
4
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The joint equation of pair of lines through the origin and making an equilateral triangle with the line $$y=3$$ is

A
$$x^2+3 y^2=0$$
B
$$3 x^2-y^2=0$$
C
$$x^2-3 y^2=0$$
D
$$3 x^2+y^2=0$$
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