Home
Class 12
MATHS
A circle of radius unity is inscribed in...

A circle of radius unity is inscribed in an isosceles triangle. The least perimeter of the triangle is :

A

`6sqrt3`

B

9

C

`2sqrt3`

D

`3sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
A
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

Three circles of radii 4 cm ,3cm and 2cm touch each other externally.The perimeter of the triangle formed by joining their centre is:

The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

The base of an isosceles triangle is 4/3 cm.The perimeter of the triangle is 4 2/15 cm .What is the length of either of the remaining equal sides?

In an equilateral triangle of perimieter 72cm, a circle is inscribed touching its sides. Find the area of the remaining portion of the triangle.

Find the perimeter of a circle of radius 7cm.

The side of an equilateral triangle is shown by l. Express the perimeter of the equilateral triangle using l.

One side of an equilateral triangle is 24 cm. The midpoints of its sides are joined to form another triangle whose midpoints are in turn joined to form still another triangle this process continues indefinitely. The sum of the perimeters of all the triangles is

HIMALAYA PUBLICATION-MAXIMA AND MINIMA-QUESTION BANK
  1. The maximum value of f(x) = x/(4+x+x^(2)) on [-2,2] is

    Text Solution

    |

  2. AB is a diameter of a circle and C is any point on the circumference o...

    Text Solution

    |

  3. A circle of radius unity is inscribed in an isosceles triangle. The le...

    Text Solution

    |

  4. An isosceles triangle of vertical angle 2 theta is inscribed in a circ...

    Text Solution

    |

  5. If x is real, the maximum value of ((4x^(2)+7x+10)/(4x^(2)+7x+4)) is

    Text Solution

    |

  6. If x is real, the minimum value of ((2x^(2)+4x+5)/(2x^(2)+4x+7)) is

    Text Solution

    |

  7. The interval in which y = x^(2) e^(–x) is increasing in

    Text Solution

    |

  8. The point on the curve x^(2) = 2y which is nearest to the point (0,5) ...

    Text Solution

    |

  9. For all real values of x, the minimum value of ((1-x+x^(2))/(1+x+x^(2)...

    Text Solution

    |

  10. The interval on which function f(x) = 2x^(3)+9x^(2)+12x-1 is decreasin...

    Text Solution

    |

  11. Let, f: R rarr R be defined by f(x) = 2x + cos x, then f

    Text Solution

    |

  12. y = x(x-3)^(2) decreases for the values of x given by

    Text Solution

    |

  13. The function f(x) = 4 sin^(3)x - 6 sin^(2)x + 12 sin x +100 is strictl...

    Text Solution

    |

  14. Which of the following function is decreasing on (0, pi/2)

    Text Solution

    |

  15. The function f(x)=1+|sinx| is :

    Text Solution

    |

  16. If x is real, the minimum value of x^(2)-8x+17 is :

    Text Solution

    |

  17. The smallest value of the polynomial x^(3)-18x^(2)+96x is [0,9] is

    Text Solution

    |

  18. The function f(x)=2x^(3)-3x^(2)-12x+4 has :

    Text Solution

    |

  19. The maximum value of sin x. cos x is

    Text Solution

    |

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

    Text Solution

    |