1
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int_\limits0^\pi \frac{1}{4+3 \cos x} d x=$$

A
1
B
$$\frac{\pi}{\sqrt7}$$
C
0
D
$$\frac{2}{\sqrt7}$$
2
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The distance between the lines $$3 x+4 y=9$$ and $$6 x+8 y=15$$ is

A
5 units
B
3 units
C
0.3 units
D
0.5 units
3
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of common tangent to the circles $$x^2+y^2-4 x+10 y+20=0$$ and $$x^2+y^2+8 x-6 y-24=0$$ is

A
$$3 x-4 y+11=0$$
B
$$3 x-4 y-11=0$$
C
$$-3 x-4 y+11=0$$
D
$$3 x+4 y+11=0$$
4
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The radius of a circular plate is increasing at the rate of $$0.01 \mathrm{~cm} / \mathrm{sec}$$, when the radius is $$12 \mathrm{~cm}$$. Then the rate at which the area increases is

A
$$60 ~\pi \mathrm{~sq} . \mathrm{cm} / \mathrm{sec}$$
B
$$0.24 ~\pi \mathrm{~sq} . \mathrm{cm} / \mathrm{sec}$$
C
$$1.2 ~\pi \mathrm{~sq} . \mathrm{cm} / \mathrm{sec}$$
D
$$24 ~\pi \mathrm{~sq} . \mathrm{cm} / \mathrm{sec}$$
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