Home
Class 9
MATHS
A B C D is a parallelogram and /D A B=60...

`A B C D` is a parallelogram and `/_D A B=60^0dot` If the bisectors `A P` and `B P` of angles `A` and `B` respectively, meet at `P` on `C D ,` prove that `P` is the mid-point of `C Ddot`

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|67 Videos
  • RATIONALISATION

    RD SHARMA ENGLISH|Exercise All Questions|130 Videos

Similar Questions

Explore conceptually related problems

In Figure, A B C D is a parallelogram and /_D A B=60^@ . If the bisectors A P\ a n d\ B P of angles A\ a n d\ B respectively, meet at P on C D , prove that P is the mid-point of C D .

A B C D is a parallelogram in which /_A=70^0dot Compute /_B ,\ /_C\ a n d\ /_Ddot

In Figure, A B C D is a parallelogram in which /_A=60^0 . If the bisectors of /_A and /_B meet at P , prove that A D=D P ,P C=B C and D C=2A Ddot Figure

In Figure, A B C D is a parallelogram in which /_A=60^0 . If the bisectors of /_A and /_B meet at P , prove that A D=D P ,P C=B C and D C=2A Ddot Figure

In Figure, if A B||D C\ a n d\ P is the mid-point B D , prove that P is also the midpoint of A C

In Figure, A B C D is a parallelogram in which P is the mid-point of D C and Q is a point on A C such that C Q=1/4A Cdot If P Q produced meets B C at Rdot Prove that R is a mid-point of B Cdot

In Figure, A B C D is a parallelogram in which P is the mid-point of D C\ a n d\ Q is a point on A C such that C Q=1/4A C . If P Q produced meets B C\ a t\ R , prove that R is a mid-point of B C .

In a triangle A B C , let P and Q be points on AB and AC respectively such that P Q || B C . Prove that the median A D bisects P Q .

Let A B C D be a parallelogram of area 124c m^2dot If E and F are the mid-points of sides A B and C D respectively, then find the area of parallelogram A E F Ddot

In Figure, A B C D is a parallelogram. E and F are the mid-points of the sides A B and C D respectively. Prove that the line segments A F and C E triset (divide into three equal parts) the diagonal B Ddot

RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. In Figure, P Q R S is a parallelogram, P O and Q O are, respectively, ...

    Text Solution

    |

  2. The diagonals of a parallelogram A B C D intersect at OdotA line throu...

    Text Solution

    |

  3. A B C D is a parallelogram and /D A B=60^0dot If the bisectors A P and...

    Text Solution

    |

  4. In a parallelogram A B C D , the bisector of /A also bisects B C at Xd...

    Text Solution

    |

  5. A B C D is a parallelogram. L and M are points on A B and D C respecti...

    Text Solution

    |

  6. P Q R S is a parallelogram. P X and QY are respectively, the perpendic...

    Text Solution

    |

  7. A B C D is a parallelogram. A B is produced to E so that B E=A B . Pro...

    Text Solution

    |

  8. If A B C D is a quadrilateral in which A B C D and A D=B C , prove th...

    Text Solution

    |

  9. Find the measure of all the angles of a parallelogram, if one angle is...

    Text Solution

    |

  10. The perimeter of a parallelogram is 22c m. If the longer side measures...

    Text Solution

    |

  11. In Figure, A B C D is a parallelogram in which P is the mid-point of D...

    Text Solution

    |

  12. A B C is a triangle. D is a point on A B such that A D=1/4A B and E is...

    Text Solution

    |

  13. Show that the line segments joining the mid-points of the opposite ...

    Text Solution

    |

  14. B M and C N are perpendiculars to a line passing through the vertex A ...

    Text Solution

    |

  15. In Figure, A N and C P are perpendicular to the diagonal B D of a para...

    Text Solution

    |

  16. Given A B C , lines are drawn through A ,\ B\ a n d\ C parallel res...

    Text Solution

    |

  17. In a parallelogram A B C D ,/D=115^0, determine the measure of /A and ...

    Text Solution

    |

  18. In a parallelogram A B C D , prove that sum of any two consecutive ang...

    Text Solution

    |

  19. A B C D is a parallelogram andline segments A X ,C Y bisect the angles...

    Text Solution

    |

  20. In a parallelogram A B C D diagonals A C and B D intersect at O and A ...

    Text Solution

    |