1
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The region represented by the inequalities $$x \geq 6, y \geq 3,2 x+y \geq 10, x \geq 0, y \geq 0$$ is

A
origin side of all the inequalities
B
unbounded
C
polygon
D
bounded
2
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

IF $$A X=B$$, where $$A=\left[\begin{array}{ccc}1 & -1 & 1 \\ 2 & 1 & -3 \\ 1 & 1 & 1\end{array}\right], X=\left[\begin{array}{l}x \\ y \\ z\end{array}\right], B=\left[\begin{array}{l}4 \\ 0 \\ 2\end{array}\right]$$, then $$2 x+y-z=$$

A
2
B
1
C
4
D
$$-$$2
3
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int \frac{d x}{e^x+e^{-x}+2}=$$

A
$$\frac{1}{\mathrm{e}^{2 \mathrm{x}}+1}+\mathrm{c}$$
B
$$\frac{-1}{\mathrm{e}^{\mathrm{x}}+1}+\mathrm{c}$$
C
$$\frac{1}{e^x}+c$$
D
$$\frac{-1}{e^x}+c$$
4
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The co-ordinates of the points on the line $$\frac{x+2}{1}=\frac{y-1}{2}=\frac{z+1}{-2}$$ at a distance of 12 units from the point A($$-$$2, 1, $$-$$1) are

A
$$(2,9,-9),(-6,-7,7)$$
B
$$ (2,9,7),(6,5,-9) $$
C
$$ (6,9,-5),(-10,9,-5) $$
D
$$ (6,-7,3),(-10,9,3) $$
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