Home
Class 12
MATHS
The diagonal of square is changing at th...

The diagonal of square is changing at the rate of `0.5 cms^(-1)`. Then the rate of change of area, when the area is `400 cm^(2)`, is equal to

A

`20sqrt2 cm^2 //sec`

B

`10sqrt2 cm^2 //sec`

C

`(1)/(10sqrt2) cm^2 //sec`

D

`(10)/(sqrt2) cm^2 //sec`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The radius of a sphere is changing at the rate of 0.1 cm/sec. The rate of change of its surface area when the radius is 200 cm is

in a sphere the rate of change of surface area is

If the length of the diagonal of a square is increasing at the rate of 0.2 cm/sec, then the rate of increase of its area when its side is 30//sqrt(2) cm, is

The side of a square is increasing at the rate of 0.5 cm/sec. Find the rate of increase of its area, when the side of square is 20 cm long.

The radius of a soap bubble is increasing at the rate of 0.2 cms^(-1) then the rate of increases of its surface area when radius 4 cm is

If the radius of the circle changes at the rate of 0.04 cm//sec , then the rate of change of its area, when radius is 10 cm, is

The radius of an air bubble in increasing at the rate of 0.5cm/s. Find the rate of change of its volume, when the radius is 1.5 cm.

The side of a square is increasing at a rate of 4cm/sec. Find the rate of increase of its area when the side of square is 10 cm.

The volume of a sphere increase at the rate of 20cm^(3)//sec . Find the rate of change of its surface area when its radius is 5 cm