1
MHT CET 2021 21th September Morning Shift
+2
-0

A stone is thrown into a quite lake and the waves formed move in circles. If the radius of a circular wave increases at the rate of 4 cm/sec, then the rate of increase in its area, at the instant when its radius is 10 cm, is _________ cm$$^2$$/sec.

A
80 $$\pi$$
B
10 $$\pi$$
C
8 $$\pi$$
D
40 $$\pi$$
2
MHT CET 2021 21th September Morning Shift
+2
-0

The function $$f(x)=\cot ^{-1} x+x$$ is increasing in the interval.

A
$$(-\infty, \infty)$$
B
$$(0,3)$$
C
$$(1, \infty)$$
D
$$(-1, \infty)$$
3
MHT CET 2021 21th September Morning Shift
+2
-0

The curves $$\frac{x^2}{a^2}+\frac{y^2}{4}=1$$ and $$y^3=16 x$$ intersect each other orthogonally, then $$a^2=$$

A
2
B
$$\frac{3}{4}$$
C
$$\frac{1}{2}$$
D
$$\frac{4}{3}$$
4
MHT CET 2021 20th September Evening Shift
+2
-0

The surface area of a spherical balloon is increasing at the rate $$2 \mathrm{~cm}^2 / \mathrm{sec}$$. Then rate of increase in the volume of the balloon is , when the radius of the balloon is $$6 \mathrm{~cm}$$.

A
$$4 \mathrm{~cm}^3 / \mathrm{sec}$$.
B
$$16 \mathrm{~cm}^3 / \mathrm{sec}$$.
C
$$36 \mathrm{~cm}^3 / \mathrm{sec}$$.
D
$$6 \mathrm{~cm}^3 / \mathrm{sec}$$.
MHT CET Subjects
Physics
Mechanics
Optics
Electromagnetism
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Calculus
Coordinate Geometry
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