Home
Class 14
MATHS
A circles O is tangent to the hypotenuse...

A circles O is tangent to the hypotenuse BC of isosceles right `DeltaABC`. AB and AC are extended and area tangent to circle O at E and F. The area of the triangle is `x^(2)`. Find the area of the circle.

A

`pix^(2)(2+sqrt(2))`

B

`pix^(2)3(3+2sqrt(2))`

C

`pix^(2)(3+2sqrt(2))`

D

`pix^(2)(3+3sqrt(2))`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DATA INTERPRETATION

    MOTHERS|Exercise MULTIPLE CHOICE QUESTIONS|372 Videos

  • LCM & HCF

    MOTHERS|Exercise MULTIPLE CHOICE QUESTION|200 Videos

Similar Questions

Explore conceptually related problems

In fig., O is the centre of a circle. The area of sector OAPB is (5)/(18) of the area of the circle. Find x.

If an isosceles triangle ABC in which AB=AC=6cm is inscribed in a circle of radius 9cm, find the area of the triangle.

The area of an isosceles right triangle is 200 m^2. Find its hypotenuse.

If the following figure, O is the centre of the circle and XO is perpendicular to OY. If the area of the triangle XOY is 32, then the area of the circle is :

If an isosceles triangle ABC , in which AB = AC = 10 cm , is inscribed in a circle of radius 10 cm , find the area of the triangle .

The tangent to the circumcircle of an isosceles DeltaABC at A, in which AB= AC, is parallel to BC.

MOTHERS-GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. Two circles intersect each other at the points A and B, A straight lin...

    Text Solution

    |

  2. An isosceles triangle has a base of measure 4 cm and sides measuring 3...

    Text Solution

    |

  3. A circles O is tangent to the hypotenuse BC of isosceles right DeltaAB...

    Text Solution

    |

  4. Two circles with centres O(1) and O(2) touch each other externally at ...

    Text Solution

    |

  5. In given figure, a rectangle ABCD is inside a circle. Side AB is great...

    Text Solution

    |

  6. ABCD is a square of area = 144(4+2sqrt(3)) centres O(1)&O(2) of circle...

    Text Solution

    |

  7. If the measure of an acute triangle sides is 24, 10 and N. What is pos...

    Text Solution

    |

  8. If DeltaABC is an isosles triangle. Where AB = AC = 1 and D is a point...

    Text Solution

    |

  9. In the given figure ABC is a triangle. D is mid point of AB. Q is a po...

    Text Solution

    |

  10. The figure shows an equilateral DeltaABC with a line L passing through...

    Text Solution

    |

  11. In the given figure PQ and PR are tangents of a semicircle. Center O o...

    Text Solution

    |

  12. In the figure below, two circular curves create 60^(@) and 90^(@) with...

    Text Solution

    |

  13. In the given figure, ABC is a right triangle inscribed in a circle of ...

    Text Solution

    |

  14. It is given that in triangle ABC, M is midpoint of AC, circle of cent...

    Text Solution

    |

  15. In the given figure, find angle angleAEB. If Angle angleB is the right...

    Text Solution

    |

  16. In the figure given below, ABC is a triangle with AB = 9, AC = 11 and ...

    Text Solution

    |

  17. In triangle ABC, points D and E are on BC and AC respectively. If AD a...

    Text Solution

    |

  18. ABC is a triangle with sides 3, 4, 5. Let P be a point inside the Delt...

    Text Solution

    |

  19. In a triangle two altitude are 4 cm and 12 cm respectively and all the...

    Text Solution

    |

  20. A circle is drown with diameter as the high of an equilateral triangle...

    Text Solution

    |