Home
Class 12
MATHS
If the circumference of a circle changes...

If the circumference of a circle changes at the rate of 0.2 cm/sec, then the rate of which its area is changing, when its radius is 8 cm is........ A) 0.8 `cm^2` /sec B) 0.4 `cm^2`/sec C) 1.6 `cm^2`/sec D) 3.2 `cm^2`/sec

A

0.8 `cm^2` /sec

B

0.4 `cm^2`/sec

C

1.6 `cm^2`/sec

D

3.2 `cm^2`/sec

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Applications of Derivatives

    CHETANA PUBLICATION|Exercise Exercise|144 Videos

  • APPLICATION OF DEFINITE INTEGRATION

    CHETANA PUBLICATION|Exercise EXERCISE|80 Videos

  • BINOMIAL DISTRIBUTION

    CHETANA PUBLICATION|Exercise EXERCISE|108 Videos

Similar Questions

Explore conceptually related problems

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

The surface area of a sphere increases at the rate of 0.6cm^2 /sec. The rate at which its volume is increasing when its radius is 10cm, is...... A) 12 cc/sec B) 3 cc/sec C) 4 cc/sec D) 5 cc/sec

The edge of a cube is decreasing at the rate of 0.6 cm/ sec. Find the rate at which its volume is decreasing when the edge of the cube is 2 cm.

If each side of an equilateral triangle increases at the rate of sqrt 2 cm/sec, find the rate of increase of its area when its side of length 3cm.

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

IF the volume of a spherical balloon is increasing at the rate of 900cm^3//sec , then the rate of change of radius of balloon at an instant when radius is 15cm [in cm//sec ] is

CHETANA PUBLICATION-Applications of Derivatives-Exercise
  1. If a particle moving along a line follows the law s= sqrt (1+t) then t...

    Text Solution

    |

  2. The surface area of a sphere increases at the rate of 0.6cm^2/sec. The...

    Text Solution

    |

  3. If the circumference of a circle changes at the rate of 0.2 cm/sec, th...

    Text Solution

    |

  4. A man of height 1.5 meters walks toward a lamp post of height 4.5 mete...

    Text Solution

    |

  5. A tank is in the form of inverted cone, having height 8 meters and bas...

    Text Solution

    |

  6. The radius of a cylinder is increasing at the rate of 3m/sec and its a...

    Text Solution

    |

  7. A cylindrical tank of radius 10m is being filled with wheat at the ran...

    Text Solution

    |

  8. The approximate value of is root (3)(66)....... A) 4.01 B) 4.2 C) 4...

    Text Solution

    |

  9. The approximate value of cos (89^° 30'), given that 1^°=0.0175^c is......

    Text Solution

    |

  10. The approximate value of cot^(-1) (1.001), is..... A) 1 B) pi /4 -0....

    Text Solution

    |

  11. Find the approximate value of log(10)(998), Given that log(10)(e) = 0....

    Text Solution

    |

  12. If the function f(x)= e^x(sinx-cosx), x in [(pi)/4, (5pi)/4] satisfies...

    Text Solution

    |

  13. If the function f(x) =log x, x in (1, e), satisfies all the conditions...

    Text Solution

    |

  14. The values of x for which f(x)= 2x^3-15x^2+ 36x+5 is decreasing, are.....

    Text Solution

    |

  15. If f(x) = x-sqrt x is increasing in the interval..

    Text Solution

    |

  16. The function f(x) = x- cosx, is increasing in....... A) (pi/2, pi) B)...

    Text Solution

    |

  17. The function f(x) =x^3-3x^2+3x-100, x in R is....... A) increasing B)...

    Text Solution

    |

  18. At x=-1, the function f(x) = 2x^3-3x^2-12x+12 is...... A) maximum B) m...

    Text Solution

    |

  19. Function f(x) = x^2-3x+4 has minimum value at..... A) x= 0 B) x= -3/...

    Text Solution

    |

  20. If the sum of the two numbers is 15 and the sum of their squares is mi...

    Text Solution

    |