1
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The function $$f(x)=\log (1+x)-\frac{2 x}{2+x}$$ is increasing on

A
$$(-\infty, \infty)$$
B
$$(-5, \infty)$$
C
$$(-\infty, 0)$$
D
$$(-1, \infty)$$
2
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$A=\left[\begin{array}{lll}0 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & 1 & 1\end{array}\right]$$, then $$A^{-1}=$$

A
$$\left(\frac{1}{2}\right)\left[\begin{array}{lll}0 & 1 & 2 \\ 3 & 2 & 1 \\ 4 & 2 & 3\end{array}\right]$$
B
$$\left[\begin{array}{ccc}\frac{1}{2} & \frac{-1}{2} & \frac{1}{2} \\ -4 & 3 & -1 \\ \frac{5}{2} & \frac{-3}{2} & \frac{1}{2}\end{array}\right]$$
C
$$\left[\begin{array}{ccc}\frac{1}{2} & -1 & \frac{5}{2} \\ 1 & -6 & 3 \\ 1 & 2 & -1\end{array}\right]$$
D
$$\left(\frac{1}{2}\right)\left[\begin{array}{ccc}1 & -1 & -1 \\ -8 & 6 & -2 \\ 5 & -3 & 1\end{array}\right]$$
3
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of circle with centre at $$(2,-3)$$ and the circumference $$10 \pi$$ units is

A
$$x^2+y^2-4 x+6 y-12=0$$
B
$$x^2+y^2+4 x+6 y+12=0$$
C
$$x^2+y^2-4 x-6 y-12=0$$
D
$$x^2+y^2-4 x+6 y+12=0$$
4
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If y = 2 sin x + 3 cos x and y + A$$\mathrm{\frac{d^2y}{dx^2}}$$ = B, then the values of A, B are respectively

A
0, 1
B
0, $$-$$1
C
$$-$$1, 0
D
1, 0
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