Home
Class 12
MATHS
The perimeter of a sector is p. the area...

The perimeter of a sector is p. the area of the sector is maximum when it radius is

A

`1//sqrt(p)`

B

`p//2`

C

`p//4`

D

`sqrt(p)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2001

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|53 Videos
  • KARNATAKA CET 2003

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

The perimeter of a sector is a constant . If its area is to be maximum , then the sectional angle is

The radius of a circle is 28cm and the area of the sector filled with rainwater is 205.4 cm^2 . Calculate the central angle.

The rate of change of the surface area of a sphere of radius r when the radius is increasing at the rate of 2cm/sec is proportional to

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

What is the perimeter of a sector of a circle whose central angle is 90^(@) and radius is 7 cm ?

If the pair of lines ax^2 +2 (a + b) xy + by^2 =0 lie along diameters of a circle and divide the circle into four sectors such that the area of one of the sectors is thrice the area of another sectors, then:

What is the area of the sector with central angle 120^@ ?

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2002-MATHEMATICS (MCQ.s)
  1. Solution of the differential equation (dx)/(x)+(dy)/(y)=0 is

    Text Solution

    |

  2. Let the function f:RtoR be defined by f(x)=2x+cosx. Then f

    Text Solution

    |

  3. The perimeter of a sector is p. the area of the sector is maximum when...

    Text Solution

    |

  4. The equation to the tangent to the curve y=be^(x//a) at the point wher...

    Text Solution

    |

  5. The value of intx^(3)logxdx is:

    Text Solution

    |

  6. The value of int(0)^(pi)(dx)/(5+3cosx) is

    Text Solution

    |

  7. The false statement in the following is

    Text Solution

    |

  8. If the vectors 3hati+hatj-2hatk,hati+2hatj-3hatk,3hati+lamdahatj+5hatk...

    Text Solution

    |

  9. Equations of the tangent and the normal drawn at the point (6,0) on th...

    Text Solution

    |

  10. The equation to the parabola whose focus is (1,-1) and the directrix i...

    Text Solution

    |

  11. If omega=-(1)/(2)+i (sqrt(3))/(2), the value of [[1, omega, omega^(2)...

    Text Solution

    |

  12. Two intersecting circles have their radii 1 and sqrt(3) meters. The di...

    Text Solution

    |

  13. The height of the cylinder of maximum volume inscribed in a sphere of ...

    Text Solution

    |

  14. For all positive values of x and y, the value of ((1+x+x^(2))(1+y+y^(2...

    Text Solution

    |

  15. How many nine digit numbers can be formed using the digit 2,2,3,3,5,58...

    Text Solution

    |

  16. There are n points in a plane of which p points are collinear. How man...

    Text Solution

    |

  17. If f (x) = |{:( sin x , cos x , tan x) , (x^(3) , x^(2) , x) , (2x , 1...

    Text Solution

    |

  18. The value of int(0)^(pi//2) logtanxdx is

    Text Solution

    |

  19. The value of int(-1//2)^(1//2)(cosx)[log((1-x)/(1+x))]dx is

    Text Solution

    |

  20. The area of the figure bounded by the curves y=cosx and y=sinx and the...

    Text Solution

    |