Home
Class 12
MATHS
Radius of a circular disc decreases at a...

Radius of a circular disc decreases at a uniform rate of `0.25 cm //sec`. When the radius is 25 cm, the area of the disc is changing at the rate of

A

`1.25 pi cm^(2)// sec`

B

`-1.25 pi cm^(2)//sec`.

C

`-12.5 pi cm ^(2)// sec`.

D

`12.5pi cm^(2)// sec`.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APLICATIONS OF DERIVATIVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - I : CHAPTER 12)|19 Videos

  • APLICATIONS OF DERIVATIVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)|19 Videos

  • APPLICATIONS OF DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|11 Videos

Similar Questions

Explore conceptually related problems

Each side of an equilateral triangle increases at a uniform rate of 0.5 cm // sec . When each side is 40 cm , its area is increasing at the rate of

If the circumference of a circle changes at rate of 0.2 cm //sec , then , when the radius is 8 cm , its area is changing at the rate of

If the circumference of a circle at the rate of 0.2 cm //sec , then, when the radius is 8cm, its area is changing at the rate of

If the circumference of a circle changes at the rate of 0.7 pi cm //sec , then, when the radius is 5 cm, the radius is changing at the of

If the radius of a circle changes at the rate of 0. 2 cm//sec , then , when the radius is 20 cm, its area changes at the rate of

If the area of a circle changes at the rate of 2pi cm^(2)//sec , then, when the radius is 10cm, the radius is changing at the rate of

Height of a right circular cylinder is increasing at the rate of 4 cm //sec , and its base radius decreasing at 3 cm //sec . When the base radius is 20 cm and height 10 cm, volume of the cylinder is changing at the rate of

The radius of a circle is increasing uniformly at the rate of 4 cm/sec. Find the rate at which the area of the circle is increasing when the radius is 8 cm.

MARVEL PUBLICATION-APLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)
  1. Radius of a circular disc decreases at a uniform rate of 0.25 cm //sec...

    Text Solution

    |

  2. If S=16+ 192 t-t^(3), then distance tavelled by the particle before co...

    Text Solution

    |

  3. The distances moved by a particle in time t seconds is given by s=t^(3...

    Text Solution

    |

  4. A stone thrown vertically upwards rises S ft in t seconds where S =11...

    Text Solution

    |

  5. If displacement x at time t is x=sqrt(1+t^(2)) , then acceleration is

    Text Solution

    |

  6. If the circumference of a circle at the rate of 0.2 cm //sec, then, wh...

    Text Solution

    |

  7. A stone is dropped into a quiet pond and waves spread in the form of c...

    Text Solution

    |

  8. Perimeter of square increases at the rate of 0.4 cm// sec. When the si...

    Text Solution

    |

  9. Each side of an equilateral triangle increases at a uniform rate of 0....

    Text Solution

    |

  10. If the surface area of a cube increases at the rate of 0.6cm^(2) //sec...

    Text Solution

    |

  11. If V denotes the volume and S is the surface area of a sphere. If radi...

    Text Solution

    |

  12. Water is poured into an inverted cone of semi-vertical angle 30^(@) at...

    Text Solution

    |

  13. A ladder 10 m long leans against a house. When its foot is 6 m from th...

    Text Solution

    |

  14. If y=(log x) - (2)/(x), x=(1)/(2), deltax =10 ^(-8), then delta y ~~…

    Text Solution

    |

  15. If 1^(@) =0.0174^(c), then tan (45^(@) 50')~~…

    Text Solution

    |

  16. If diameter of a sphere is 2 cm with error 0.082 mm, then approximate ...

    Text Solution

    |

  17. If a wire of length l, with error delta l, is bent into an equilatera...

    Text Solution

    |

  18. if radius of a sphere is r with error delta r , and S is its surface ...

    Text Solution

    |

  19. If 1^(@) =0.018^(c), then sin^(2) (45 ^(@) 2')~~…

    Text Solution

    |

  20. A point P moves along the curve y=x^(3). If its abscissa is increasing...

    Text Solution

    |