Home
Class 14
MATHS
In the figure, ABC is a triangle in whic...

In the figure, ABC is a triangle in which `AB = AC`. A circle through B touches AC at D and intersects AB at P. If D is the mid - point of AC, Find the value of AB :

A

`AB = 2AP`

B

`AB = 3 AP`

C

`AB = 4 AP`

D

`2 AB = 5 AP`

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

In angle ABC , AB=AC . A circle drawn through B touches AC at D and intersects AB at P. If D is the mid point of AC and AP = 2.5 cm, then AB is equal to: त्रिभुज ABC में, AB = AC है | B से खींचा गया एक वृत्त AC को D पर स्पर्श करता है तथा AB को P पर काटता है | यदि D, AC का मध्य बिंदु है एवं AP = 2.5 सेमी है, तो AB का मान किसके बराबर है ?

ABC is an isosceles triangle with AB = AC. A circle through B touching AC at the middle point intersects AB at P. Then, AP : AB is

ABC is an isosceles triangle with AB = AC. A circle through B touching AC at the middle point intersects AB at P. Then AP : AB is :

In Delta ABC, AB = AC. A circle is drawn with diameter AB and it intersects BC at D. Prove that D is the midpoint of BC.

ABC is an isosceles Delta , AB = AC . A circle passing through B touch AC at mid point T and cut AB at P. find (AP)/(AB) ?

ABC is a triangle in which AB=AC.D and E are points on the sides AB and AC respectively,such that AD=AE .Show that the points ' B

In the adjoining figure, ABC is an isosceles triangle in which AB = AC. If E and F be the midpoints of AC and AB respectively, then

In the adjoining figure, ABC is a triangle in whcich AB=AC. If D and E are poitns on AB and AC respecrtively such that AD=AE, show that the points B,C,E and D are concyclic.

LUCENT PUBLICATION-CIRCLE AND ITS TANGENT LINES-EXERCISE 8A
  1. A point P moves such that its distances from two given points A and B...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. If the arcs of same length in two circles subtend angles of 60^(@) and...

    Text Solution

    |

  18. Tangents are drawn at extremities AB of a diameter of a circle centred...

    Text Solution

    |

  19. AB is a chord to a circle and PAT is the tangent to the circle at A. I...

    Text Solution

    |

  20. The tangents at two points A and B on the circle with centre O Interse...

    Text Solution

    |