Home
Class 10
MATHS
In the given figure AC=AE Show that ...

In the given figure `AC=AE`
Show that
(i) CP=EP
(ii) BP=DP

Promotional Banner

Topper's Solved these Questions

  • TANGENTS AND INTERSECTING CHORDS

    ICSE|Exercise EXERCISE 18 (B)|18 Videos
  • SPECIMEN QUESTION PAPER (MATHEMATICS)

    ICSE|Exercise Section C|12 Videos
  • TRIGONOMETRICAL IDENTITIES

    ICSE|Exercise QUESTIONS|22 Videos

Similar Questions

Explore conceptually related problems

In the given figure AB=AC and AD=AE. Prove that (i) DeltaABD~=DeltaACE and (ii) BE=DC

In the given figure DE||AC and DC||AP. Prove that (BE)/(EC) = (BC)/(CP)

In the given figure, DE||AC and DF||AE . Prove that (BF)/(FE)=(BE)/(EC)

In the given figure, DE||AC and DF||AE . Prove that (BF)/(FE)=(BE)/(EC)

In the given figure, AB = AC. Prove that AF is greater than AE.

In the given figure, AC = AE, AB = AD and angle BAD = angle EAC . Show that : BC = DE.

In the figure AC||BD , prove that: (i) triangleACE ~ triangleBDE (ii) (AE)/(CE)= (BE)/(DE)

In the given figure, ABCD is a square. M is the mid-point of AB and PQ is perpendicular to CM. CB produced meets PQ at point Q. Prove that : (i) PA = BQ (ii) CP = AB + PA

From the following figure, prove that : (i) AB gt BD (ii) AC gt CD (iii) AB+AC gt BC

In the following figure, ABC is an equilateral triangle and P is any point in AC, prove that : (i) BP gt PA (ii) BP gt PC

ICSE-TANGENTS AND INTERSECTING CHORDS-EXERCISE 18 (C)
  1. The given figure shows a circle with centre O and BCD is tangent to it...

    Text Solution

    |

  2. ABC is a right triagle with angle B=90^(@) . A circle with BC as diame...

    Text Solution

    |

  3. In the given figure AC=AE Show that (i) CP=EP (ii) BP=DP

    Text Solution

    |

  4. ABCDE is a cyclic pentagon with centre of its circumcircle alt point O...

    Text Solution

    |

  5. In the given figure O is the centre of the circle. Tangents at A and B...

    Text Solution

    |

  6. ABC is a triangle with AB=10cm, BC=8cm and AC=6cm (not drawn to scale)...

    Text Solution

    |

  7. The given figure shows a semi circle with centre O ane diameter PQ. If...

    Text Solution

    |

  8. The given figure shows a circle with centre O such that chord RS is pa...

    Text Solution

    |

  9. In the given figure PAT is tangent to the circle with centre O, at poi...

    Text Solution

    |

  10. AB is a line segment and M is its mid point. Three semi circles are dr...

    Text Solution

    |

  11. TA and TB are tangents to a circle with centre O from an external poin...

    Text Solution

    |

  12. Two circles intersects in points P and Q. A secant passing through P i...

    Text Solution

    |

  13. Prove that the any four vertices of a regular pentagon are concyclic (...

    Text Solution

    |

  14. Chords AB and CD of a circle when extended meet at point X. Given AB =...

    Text Solution

    |

  15. In the given figure find TP if AT=16 cm and AB=12 cm.

    Text Solution

    |

  16. In the following figure, a circle is inscribed in th equadrilaterial A...

    Text Solution

    |

  17. In the given figure, XY is the diameter of the circle and PQ is a tang...

    Text Solution

    |

  18. In the given figure QAP is the tangent at point A and PBD is a straigh...

    Text Solution

    |

  19. In the given figure AB is the diameter. The tangent at C meets AB prod...

    Text Solution

    |

  20. In the given figure O is the centre of the circle. The tangents at B a...

    Text Solution

    |