Home
Class 9
MATHS
The diagonals of a parallelogram A B C D...

The diagonals of a parallelogram `A B C D` intersect at `Odot` A line through `O` meets `A B` in `X` and `C D` in `Ydot` Show that `a r( A X Y D)=1/2(A R ^(gm)A B C D)`

Promotional Banner

Topper's Solved these Questions

  • ALGEBRAIC IDENTITIES

    RD SHARMA ENGLISH|Exercise All Questions|247 Videos

  • CIRCLE

    RD SHARMA ENGLISH|Exercise All Questions|306 Videos

Similar Questions

Explore conceptually related problems

The diagonals of a parallelogram A B C D intersect at Odot A line through O meets A B\ in x\ a n d\ C D in Ydot Show that a r\ (A X Y X)=1/2(a r|""|^(gm)\ \ A B C D)

The diagonals of a parallelogram A B C D intersect at OdotA line through O intersects A B at X and D C at Ydot Prove that O X=O Ydot

The diagonals of a parallelogram A B C D intersect at O . A line through O meets A B\ in X\ a n d\ C D in Y . Show that a r\ (q u a d rilateral A X Y D)=1/2a r(paral l e l ogram\ \ A B C D)

The diagonals of a parallelogram A B C D intersect at O. A line through O intersects A B\ at X\ a n d\ D C at Y . Prove that O X=O Y .

The diagonals of a rectangle A B C D intersect in Odot If /_B O C=68^0, find /_O D Adot

A B C D is a parallelogram whose diagonals A C and B D intersect at Odot A Line through O intersects A B at P and D C at Qdot Prove that a r( P O A)=a r( Q O C)dot

The diagonals of a parallelogram A B C D intersect at a point Odot Through O , a time is drawn to intersect A D at P and B C at Q . Show that P Q divides the parallelogram into two parts of equal area.

The diagonals of a rectangle A B C D meet at Odot If /_B O C=44^0, find /_O A Ddot

The diagonals of a rectangle A B C D meet at Odot If /_B O C=44^0, find /_O A Ddot

The diagonals of a parallelogram A B C D intersect at a point O . Through O , a line is drawn to intersect A D\ at P and B C at Q . Show that P Q divides the parallelogram into two parts of equal area.

RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. Prove that the area of an equilateral triangle is equal to (sqrt(3))...

    Text Solution

    |

  2. In a parallelogram A B C D ,E ,F are any two points on the sides A B a...

    Text Solution

    |

  3. The diagonals of a parallelogram A B C D intersect at Odot A line thro...

    Text Solution

    |

  4. Show that the segment joining the mid-points of a pair of opposite s...

    Text Solution

    |

  5. Diagonals A C and B D of a trapezium A B C D with A B || C D intersect...

    Text Solution

    |

  6. In Figure, A B C D is a quadrilateral and B E || A C and also B E meet...

    Text Solution

    |

  7. If a triangle and a parallelogram are on the same base and between the...

    Text Solution

    |

  8. In Figure, A B C D E is a pentagon. A line through B parallel to A C m...

    Text Solution

    |

  9. Prove that The area of a parallelogram is the product of its base and...

    Text Solution

    |

  10. Prove that Parallelograms on the same base and between the same para...

    Text Solution

    |

  11. Prove that A diagonal of a parallelogram divides it into two triangl...

    Text Solution

    |

  12. If each diagonal of a quadrilateral separates it into two triangles...

    Text Solution

    |

  13. The area of a triangle is half the product of any of its sides and t...

    Text Solution

    |

  14. Triangles A B C and DBC are on the same base B C with A, D on opposite...

    Text Solution

    |

  15. If the diagonals A C ,B D of a quadrilateral A B C D , intersect at O ...

    Text Solution

    |

  16. If P is any point in the interior of a parallelogram A B C D , then pr...

    Text Solution

    |

  17. The diagonals of quadrilateral A B C D ,A C and B D intersect in Odot ...

    Text Solution

    |

  18. X Y is a line parallel to side B C of triangle A B C. BE ll AC and C...

    Text Solution

    |

  19. In Figure, A B C D is a trapezium in which A B D C and D C=40c m and ...

    Text Solution

    |

  20. Show that the diagonals of a parallelogram divide it into four tria...

    Text Solution

    |