Home
Class 14
MATHS
ABC is an equilateral triangle inscribed...

ABC is an equilateral triangle inscribed in a circle with AB = 5 cm. Let the bisector of the angle A meet BC in X and the circle in "Y. What is the value of AX.AY?

A

`16" cm"^2`

B

`20" cm"^2`

C

`25" cm"^2`

D

`30" cm"^2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND ITS TANGENT LINES

    LUCENT PUBLICATION|Exercise EXERCISE 8B|27 Videos
  • CIRCLE AND ITS TANGENT LINES

    LUCENT PUBLICATION|Exercise EXERCISE 8B|27 Videos
  • CENTRE OF TRIANGLE

    LUCENT PUBLICATION|Exercise EXERCISE-6B|8 Videos
  • CONGRUENCE AND SIMILAR TRIANGLES

    LUCENT PUBLICATION|Exercise EXERCISE-5B|8 Videos

Similar Questions

Explore conceptually related problems

ABC is an equilateral triangle inscribed in a circle of radius 4 cm. Find the area of the shaded portion.

An equilateral triangle is inscribed in a circle of radius 6cm. Find its side.

The area of an equilateral triangle inscribed in a circle of radius 4cm, is

An equilateral triangle of side 6 cm is inscribed in a circle. Then radius of the circle is

An equilateral triangle of side 9cm is inscribed in a circle.Find the radius of the circle.

An equilateral triangle of side 9cm is inscribed in a circle.Find the radius of the circle.

What is the area of an equilateral triangle inscribed in a circle of radius 4cm?

AB is an equilateral triangle inscribed in a circle of centre O and radius 5 cm . Let the diameter through C meet the circle again at D. Assertion (A) : AD.BD lt OB . OC Reason (R ) : 2(AD^(2) + BD^(2)) = CD^(2) = 100 sq cm

LUCENT PUBLICATION-CIRCLE AND ITS TANGENT LINES-EXERCISE 8A
  1. The distance between the centres of two circles is 10 cm whose radius ...

    Text Solution

    |

  2. If the radii of two circles be 6 cm and 3 cm and the length of the tra...

    Text Solution

    |

  3. ABC is an equilateral triangle inscribed in a circle with AB = 5 cm. L...

    Text Solution

    |

  4. Two circles touch each other externally at P. Two secants APB and CPD ...

    Text Solution

    |

  5. A point P moves such that its distances from two given points A and B...

    Text Solution

    |

  6. ABCD is a cyclic quadrilateral and A + B = 2 ( C + D). If angle C gt 3...

    Text Solution

    |

  7. If diameters of two circles are 6 units and 10 units and their centres...

    Text Solution

    |

  8. Point A is situated at a distance of 6.5 cm from the centre of a circl...

    Text Solution

    |

  9. A circle with centre O is given and C is a point on its minor arc AB. ...

    Text Solution

    |

  10. In the figure, ABC is a triangle in which AB = AC. A circle through B ...

    Text Solution

    |

  11. In the given figure if angle PAQ = 59^(@), angle APD = 40^(@), then wh...

    Text Solution

    |

  12. In the adjacent figure C and D are two points on circumference of a se...

    Text Solution

    |

  13. In the figure given below, if angle AOP = 75^(@) and angle AOB = 120^(...

    Text Solution

    |

  14. Length of two chords AB and AC of a circle are respectively 8 cm and 6...

    Text Solution

    |

  15. The chord of circle whose radius is 5 cm touches another circle radius...

    Text Solution

    |

  16. A chord of a circle is equal to its radius. The angle subtended by thi...

    Text Solution

    |

  17. The radius of two concentric circles are 9 cm and 15 cm. If the chord ...

    Text Solution

    |

  18. Two chords AB and CD of circle whose centre is O, meet at the point P ...

    Text Solution

    |

  19. AB = 16 cm and CD = 12 cm are two parallel chords lie on same side of ...

    Text Solution

    |

  20. What is the distance between two parallel chords each having length 8 ...

    Text Solution

    |