Home
Class 12
MATHS
Prove that the least perimeter of an iso...

Prove that the least perimeter of an isosceles triangle in which a circle of radius 'r' can be inscribed is `6rsqrt3`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|433 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos

Similar Questions

Explore conceptually related problems

Show that rectangle of maximum perimeter, which can be inscribed in a circle of a radius 'a' is a square of side sqrt2a .

Show that the rectangle of maximm area that can be inscribed in a circle of radius r is a square of side sqrt2 r

Prove that the area of a sector of a circle of radius r and an arc of length s is 1/2 rs.

Prove that the perimeter of a right-angled triangle of given hypotenuse equal to 5 cm is maximum when the triangle is isosceles.

True/False: If the base of an isosceles triangle is 6 cm and its perimeter is 16 cm, then, its area is 12 cm^2

Prove that the circle drawn on any one of the equal sides of an isosceles triangle as diameter bisects the third side of the triangle.

The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3:2. Find the area of the triangle.

Show that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r is 4r/3 .

Prove that the area of a sector of circle with radius r and central angle theta^@ is 1/2 r^2 theta .

MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Prove that the perimeter of a right-angled triangle of given hypotenus...

    Text Solution

    |

  2. Prove that the area of right-angled triangle of given hypotenuse is ma...

    Text Solution

    |

  3. Prove that the least perimeter of an isosceles triangle in which a cir...

    Text Solution

    |

  4. Show that, of all the rectangles with a given area, the square has the...

    Text Solution

    |

  5. Show that rectangle of maximum perimeter, which can be inscribed in a ...

    Text Solution

    |

  6. Show that of all rectangles inscribed in a given circle the square has...

    Text Solution

    |

  7. A rectangle is inscribed in a semi-circle of radius 'r' with one of it...

    Text Solution

    |

  8. Of all rectangles , each of which has perimeter: 40 cm . Find the one ...

    Text Solution

    |

  9. Of all rectangles , each of which has perimeter: 60 cm . Find the one ...

    Text Solution

    |

  10. An open box with a square base is to be made out of a given iron sheet...

    Text Solution

    |

  11. Show that the semi-vertical angle of the cone of the maximum volume an...

    Text Solution

    |

  12. Show that the semi-vertical angle of the right-circular cone of maximu...

    Text Solution

    |

  13. Prove that the semi-vertical angle of the right circular cone of given...

    Text Solution

    |

  14. Show that height of the cylinder of greatest volume which can be inscr...

    Text Solution

    |

  15. Show that the volume of the greatest cylinder, which can be inscribed ...

    Text Solution

    |

  16. Show that the altitude of the right circular cone of maximum volume th...

    Text Solution

    |

  17. Prove that volume of largest cone, which can be inscribed in a sphere,...

    Text Solution

    |

  18. Show that the right circular cone of least curved surface and given vo...

    Text Solution

    |

  19. Show that the height of the cylinder of maximum volume that can be ins...

    Text Solution

    |

  20. Show that the radius of right circular cylinder of maximum volume, tha...

    Text Solution

    |