Home
Class 12
MATHS
If the area of circle changes uniformly ...

If the area of circle changes uniformly w.r.t. time , show that the rate of change of its circumference varies iversely as its radius.

Promotional Banner

Topper's Solved these Questions

  • SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE

    CHHAYA PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|23 Videos
  • SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITVE EXAMINATION|20 Videos
  • SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE

    CHHAYA PUBLICATION|Exercise VERY SHORT ANSWER TYPE QUESTIONS|19 Videos
  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos
  • STRAIGHT LINE IN THREE DIMENSINAL SPACE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination|19 Videos

Similar Questions

Explore conceptually related problems

If the area of a circle increases uniformly, then show that the rate of increment of its circumference is inversely proportional to its radius.

The radius of a circle increases at the rate of (1)/(pi) . Find the rate of change of its (i) circumference and (ii) area when its radius is 2 units.

The circumference of a circle is 176 cm, find its radius.

The circumference of a circle is 176 cm, find its radius.

If the rate of change of area of circle is equal to the rate of change of its diameter, then its radius =

If the radius of a circle changes at a uniform rate of 2 cm/s, find the rate of change of area of the circle, at the instant when the radius is 20 cm.

The radius of a circle is increasing at the rate of 0.7 cm/s. What is the rate of increase of its circumference?

If the rate of change of volume of a shpere is equal to the rate of the change of its radius then its radius=

The radius of a circle is increasing uniformly at the rate of 3 cm/s. Find the rate at which the area of the circle is increasing when the radius is 10 cm.

If the radius of a circle be increased by 3 times, then how many times its circumference will be increased ?

CHHAYA PUBLICATION-SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE-SHORT ANSWER TYPE QUESTIONS
  1. Using the method of differentials, find the approximate values of sq...

    Text Solution

    |

  2. Using the method of differentials, find the approximate values of sq...

    Text Solution

    |

  3. Using the method of differentials, find the approximate values of sq...

    Text Solution

    |

  4. Using the method of differentials, find the approximate values of sq...

    Text Solution

    |

  5. If f(x) = 3x^(2) + 15x + 5, then find the approximate value of f(3.02...

    Text Solution

    |

  6. If y = x^(4) - 12 and if x changes from 2 to 1.99, what is the approx...

    Text Solution

    |

  7. If the error in measuring a side of a cube is 5% , find the percentage...

    Text Solution

    |

  8. The side of a square is measured with an error less than 0.01 cm. The ...

    Text Solution

    |

  9. Using the method of differential find approximately the difference bet...

    Text Solution

    |

  10. Using the method of differential find approximately the difference bet...

    Text Solution

    |

  11. If the area of circle changes uniformly w.r.t. time , show that the ra...

    Text Solution

    |

  12. A particle moves along the curve y^(2) = 8x . At what point on the cu...

    Text Solution

    |

  13. A sphereical balloon is being fiiled with air at the rate of 25 cm^(3...

    Text Solution

    |

  14. Air is expelled from a spherical balloon by decressing the radius at t...

    Text Solution

    |

  15. If gamma be the increase in volume of the cube of unit volume and bet...

    Text Solution

    |

  16. O is fixed point on the straight line traced out by a moving particle....

    Text Solution

    |

  17. If the side of an equilateral triangle increases at the rate of sqrt(3...

    Text Solution

    |

  18. While a train is travelling from rest to the next station, its disatnc...

    Text Solution

    |

  19. The side of a square is measured with an error less than 0.01 cm. The ...

    Text Solution

    |

  20. Q units of heat is required to raise the temperature of 1 gm. Water fr...

    Text Solution

    |