Home
Class 12
MATHS
Twenty metres are available to fence a f...

Twenty metres are available to fence a flower bed in the form of a circular sector. If the flower bed should have the greatest possible surface area, the radius of the circle must be

A

4 metres

B

3 metres

C

6 metres

D

5 metres

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|367 Videos
  • MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|251 Videos

Similar Questions

Explore conceptually related problems

A circular sector of perimeter 60 metre with maximum area is to be constructed. The radius of the circular arc in metre must be

A circular flower bed is surrounded by a path 4m wide. The diameter of the flower bed is 66 m. What is the area of this path? (Take pi=3.14 )

The adjoining figure represents a rectangular lawn with a circular flower bed in the middle. Find: the area of the flower bed

The adjoining figure represents a rectangular lawn with a circular flower bed in the middle. Find: the area of the whole land.

HIMALAYA PUBLICATION-MAXIMA AND MINIMA-QUESTION BANK
  1. If PQ and PR are the two sides of a triangle, then the angle between t...

    Text Solution

    |

  2. The function y = a(1-cosx) is maximum when x is equal to

    Text Solution

    |

  3. Twenty metres are available to fence a flower bed in the form of a cir...

    Text Solution

    |

  4. The function f(x) = tan^(-1) (sin x + cos x), x gt 0 is always an incr...

    Text Solution

    |

  5. The maximum value of xy, when x+2y = 8 is

    Text Solution

    |

  6. The denominator of a fraction is greater them 16 of the square of nume...

    Text Solution

    |

  7. If xy = c^(2), then minimum value of ax + by is

    Text Solution

    |

  8. If a^(2)x^(4) + b^(2)y^(4) = c^(6), then maximum value of xy is

    Text Solution

    |

  9. If f(x) = 1/(4x^(2)+2x+1), then its maximum value

    Text Solution

    |

  10. Let f(x)=(x)/(1+x)-log(1+x), when x gt 0, then f is :

    Text Solution

    |

  11. If f(x) = x^(3)-6x^(2)+9x+3 be a decreasing function, then x lies in

    Text Solution

    |

  12. If y= a log x+bx^(2)+x has its extreme values at x = -1 and x = 2, the...

    Text Solution

    |

  13. The function f(x) = (log x)/(x) is increasing in the interval

    Text Solution

    |

  14. 2x^(3)-6x+5 is an increasing function, if

    Text Solution

    |

  15. If x-2y = 4, then the minimum value of xy is

    Text Solution

    |

  16. The minimum vallue of f(x) = sin^(4)x + cos^(4)x, 0 le x le pi/2 is

    Text Solution

    |

  17. If ab = 2a + 3b, a gt 0, b gt 0, then the minimum value of ab is

    Text Solution

    |

  18. Maximum slope of the curve y=-x^(3)+3x^(2)+9x-27 is :

    Text Solution

    |

  19. Function f(x) = (lambda sin x + 6 cos x)/(2 sin x + 3 cos x) is monoto...

    Text Solution

    |

  20. The function f(x) = a sin x + 1/3 sin 3x has a maximum value of x = p...

    Text Solution

    |