Home
Class 12
MATHS
If the rate of change of area of a circl...

If the rate of change of area of a circle is equal to the rate of change of its diameter, then its radius is equal to (a) unit (b) unit (c) units (d) units

A

`(1)/(pi)`

B

`(2)/(pi)`

C

`(pi)/(2)`

D

`pi.`

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Objective Type Questions (B. Fill in the Blanks)|10 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Objective Type Questions (C. True/False Questions)|5 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 1 (f) (Long Answer Type Questions (II))|33 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

The rate of change of volume of a sphere is equal to the rate of change of its radius, then its radius is equal to

If the rate of change of area of a square plate is equal to that of the rate of change of its perimeter, then length of the side, is

If the rate of change of volume of a sphere is the same as rate of change of its radius,then radius,is equal to

The rate of change of the area of a circle with respect to its radius at r = 5, is :

The rate of change of the area of a circle with respect to its radius at r = 2 cm is :

The unit for the rate of change of velocity will be

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 area of a square is equal to its side, if the side is 1 unit.

The rate of change of the area of a circle with respect to its radius r at r=6cm is (A) (B) (B) (D)

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-Objective Type Questions (A. Multiple Choice Questions)
  1. The point on the curve y=2x^(2), where the slope of the tangent is 8, ...

    Text Solution

    |

  2. Find the equation of the normal to the curve y=2x^2+3sinxa tx=0.

    Text Solution

    |

  3. The rate of change of the area of a circle with respect to its radius ...

    Text Solution

    |

  4. Find the slope of the tangent to the curve y=x^3-3x+2 at the point wh...

    Text Solution

    |

  5. The line y=x+1 is tangent to the curve y^(2)=4x at the point :

    Text Solution

    |

  6. The interval, in which y=2x^(2)e^(-2x) is increasing is :

    Text Solution

    |

  7. The equation of tangent to the curve x=a cos^(3) theta, y= a sin^(3) t...

    Text Solution

    |

  8. Find the slope of the normal to the curve x=acos^3theta,y=sin^3thetaat...

    Text Solution

    |

  9. The maximum and minimum values of function f(x)=sin 3x+4 are respectiv...

    Text Solution

    |

  10. The function f(x)=cos x-sinx has maximum or minimum value at x=…..

    Text Solution

    |

  11. Find an angle , which increases twice as fast as it sine.

    Text Solution

    |

  12. f(x) is a strictly increasing function, if f'(x) is :

    Text Solution

    |

  13. The approximate change in the voluem V of a cube of side x metres caus...

    Text Solution

    |

  14. The rate of change of the area of a circle with respect to its radius ...

    Text Solution

    |

  15. The radius of a circle is increasing at the rate of 0.7 cm/sec. Wha...

    Text Solution

    |

  16. Find the point on the curve y=x^3-11 x+5 at which the tangent is y"...

    Text Solution

    |

  17. If the rate of change of area of a circle is equal to the rate of c...

    Text Solution

    |

  18. The interval on which the function f(x)=2x^(2)-3x is increasing or de...

    Text Solution

    |

  19. The rate of change of volume of a sphere with respect to its radius wh...

    Text Solution

    |

  20. Slope of the normal to the curve : y^(2)=4x at (1, 2) is :

    Text Solution

    |