1
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
$$\frac{-1}{e^x}+c$$
2
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
$$ (6,-7,3),(-10,9,3) $$
3
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The value of $$\tan ^{-1} 2+\tan ^{-1} 3$$ is

A
$$\left(\frac{3 \pi}{4}\right)^c$$
B
$$\left(\frac{\pi}{2}\right)^c$$
C
$$\left(\frac{\pi}{4}\right)^c$$
D
$$\left(\frac{\pi}{6}\right)^{\circ}$$
4
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\bar{a}+\bar{b}, \bar{b}+\bar{c}, \bar{c}+\bar{a}$$ are coterminus edges of a parallelopiped, then its volume is

A
0
B
$$4[\bar{b} \overline{\mathrm{a}} \overline{\mathrm{c}}]$$
C
$$3[\bar{a} \bar{c} \bar{b}]$$
D
$$2[\bar{a} \bar{b} \bar{c}]$$
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