Home
Class 10
MATHS
In the following figure, M is mid-point ...

In the following figure, M is mid-point of BC of a parallelogram ABCD. DM intersects the diagonal AC at P and AB produced at E. Prove that : PE = 2 PD .
 

Promotional Banner

Topper's Solved these Questions

  • SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)

    ICSE|Exercise EXERCISE 15(C)|24 Videos
  • SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)

    ICSE|Exercise EXERCISE 15(D)|18 Videos
  • SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)

    ICSE|Exercise EXERCISE 15(A)|48 Videos
  • SIMILARITY

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS (COMPETENCY BASED QUESTIONS)|10 Videos
  • SOLVING (SIMPLE) PROBLEMS (BASED ON QUADRATIC EQUATIONS)

    ICSE|Exercise Exercise 6(e )|18 Videos

Similar Questions

Explore conceptually related problems

In figure, P is the mid-point of side BC of a parallelogram ABCD such that angleBAP=angleDAP . Prove that AD = 2CD.

P is a point on side BC of a parallelogram ABCD. If DP produced meets AB produced at point L, prove that : DP : PL = DC : BL .

P is a point on side BC of a parallelogram ABCD. If DP produced meets AB produced at point L, prove that : DL : DP = AL : DC

P is the mid-point of the side CD of a parallelogram ABCD. A line through C parallel to PA intersects AB at Q and DA produced at R. Prove that DA = AR and CQ = QR.

In parallelogram ABCD, E is the mid-point of AB and AP is parallel to EC which meets DC at point O and BC produced at P. Prove that : BP=2AD

In parallelogram ABCD, E is the mid-point of AB and AP is parallel to EC which meets DC at point O and BC produced at P. Prove that: PB=2AD

In the figure given below, ABCD is a parallelogram. E is a point on AB. CE intersects the diagonal BD at G and EF is parallel to BC. If AE : EB = 1 : 2 find EF : AD

In the figure given below, ABCD is a parallelogram. E is a point on AB. CE intersects the diagonal BD at G and EF is parallel to BC. If AE : EB = 1 : 2 find area of triangle BEF : area of triangle ABD

A circle intersects the side AD of a parallelogram ABCD at P and BC produced at Q. Prove that square PDQC is cyclic .

In parallelogram ABCD, E is the mid-point of AB and AP is parallel to EC which meets DC at point O and BC produced at P. Prove that: O is mid-point of AP.

ICSE-SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)-EXERCISE 15(B)
  1. In the following figure, point D divides AB in the ratio 3: 5. Find : ...

    Text Solution

    |

  2. In the following figure, point D divides AB in the ratio 3: 5. Find : ...

    Text Solution

    |

  3. In the following figure, point D divides AB in the ratio 3: 5. Find : ...

    Text Solution

    |

  4. In the following figure, point D divides AB in the ratio 3: 5. Find : ...

    Text Solution

    |

  5. In the following figure, point D divides AB in the ratio 3: 5. Find : ...

    Text Solution

    |

  6. In the given figure, PQ//AB, CQ = 4.8 cm QB = 3.6 cm and AB = 6-3 cm. ...

    Text Solution

    |

  7. In the given figure, PQ//AB, CQ = 4.8 cm QB = 3.6 cm and AB = 6-3 cm. ...

    Text Solution

    |

  8. In the given figure, PQ//AB, CQ = 4.8 cm QB = 3.6 cm and AB = 6-3 cm. ...

    Text Solution

    |

  9. A line PQ is drawn parallel to the side BC of Delta ABC which cuts si...

    Text Solution

    |

  10. In Delta ABC, D and E are the points on sides AB and AC respectively....

    Text Solution

    |

  11. In Delta ABC, D and E are the points on sides AB and AC respectively....

    Text Solution

    |

  12. In the given figure, DeltaABC ~ Delta ADE. If AE : EC = 4:7 and DE = 6...

    Text Solution

    |

  13. A line segment DE is drawn parallel to base BC of A ABC which cuts AB ...

    Text Solution

    |

  14. In the figure, given below, AB, CD and EF are parallel lines. Given AB...

    Text Solution

    |

  15. In the figure, given below, PQR is a right angled triangle right angle...

    Text Solution

    |

  16. In the following figure, M is mid-point of BC of a parallelogram ABCD....

    Text Solution

    |

  17. The given figure shows a parallelogram ABCD. E is a point in AD and CE...

    Text Solution

    |