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

`20 sqrt(2) cm^(2)//sec`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos

  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos

  • APPLICATION OF INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT BUILDER|30 Videos

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

DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 1
  1. A cylindrical gas container is closed at the top and open at the ...

    Text Solution

    |

  2. Let f(x)=a/x+x^2dot If it has a maximum at x=-3, then find the value o...

    Text Solution

    |

  3. The radius of a right circular cylinder increases at the rate of 0.1 ...

    Text Solution

    |

  4. A point on the parabola y^2=18 x at which the ordinate increases at tw...

    Text Solution

    |

  5. A ball is dropped from a platform 19.6 m high. Its position function i...

    Text Solution

    |

  6. The diagonal of square is changing at the rate of 0.5 cms^(-1). Then t...

    Text Solution

    |

  7. A stone is dropped into a quiet lake and waves move in circles at a sp...

    Text Solution

    |

  8. If a circular plate is heated uniformly, its area expands 3c times as ...

    Text Solution

    |

  9. A spherical iron ball 10 cm in radius is coated with a layer of ice of...

    Text Solution

    |

  10. A ladder is resting with the wall at an angle of 30^circ. A man is asc...

    Text Solution

    |

  11. For the curve y=5x-2x^(3), if x increases at the rate of 2units/sec, t...

    Text Solution

    |

  12. An edge of a variable cube is increasing at the rate of 10 cm/s. How f...

    Text Solution

    |

  13. The altitude of a cone is 20 cm and its semi-vertical angle is 30^@. I...

    Text Solution

    |

  14. The aproximate value of square root of 25.2 is

    Text Solution

    |

  15. The possible percentage error in computing the parallel resistance R o...

    Text Solution

    |

  16. Find the approximate value of f(5. 001), where f(x)=x^3-7x^2+15.

    Text Solution

    |

  17. The approximate value of {3.92)^(2) + 3(2.1)^(4)}^(1//6) is

    Text Solution

    |

  18. Using differentials, find the approximate value of (0. 007)^(1//3)

    Text Solution

    |

  19. If there is an error of +-0.04cm in themeasurement of the diameter of ...

    Text Solution

    |

  20. If the radius of a sphere is measured as 9 cm with an error of 0.03...

    Text Solution

    |