Home
Class 9
MATHS
In Figure, A B C D is a parallelogram an...

In Figure, `A B C D` is a parallelogram and `E F C D` is a rectangle. Also `A L_|_D Cdot` Prove that : `a r(A B C D)=a r(E F C D)` `a r(A B C D)=D CxxA L`

Promotional Banner

Topper's Solved these Questions

  • ALGEBRAIC IDENTITIES

    RD SHARMA|Exercise All Questions|247 Videos
  • CIRCLE

    RD SHARMA|Exercise All Questions|306 Videos

Similar Questions

Explore conceptually related problems

In Figure, A B C D is a parallelogram and E F C D is a rectangle. Also A L _|_D Cdot Prove that a r(A B C D=a r(E F C D) a r (a A B C D)=D C x A L

In Fig. 9.13, ABCD is a parallelogram and EFCD is a rectangle.Also, A L_|_D C . Prove that (i) a r" "(A B C D)" "=" "a r" "(E F C D) (ii) a r" "(A B C D)" "=" "D C" "xx" "A L

In Figure, A B C D is a trapezium in which A B||C D . Prove that: a r( A O D)=a r( B O C)dot

In Figure, A B C D E is a pentagon. A line through B parallel to A C meets D C produced at Fdot Show that a r( A C B)=a r( A C F) (ii) a r( A E D F)=a r(A B C D E)

In Figure, A B C D E\ is a pentagon. A line through B parallel to A C meets D C produced at Fdot Show that: a r\ ( A C B)=a r\ ( A C F) a r\ (A E D F)=a r\ (A B C D E)

A B C D is a parallelogram whose diagonals intersect at Odot If P is any point on B O , prove that: a r\ ( A D O)=A R\ ( C D O) a r\ (\ A B P)=\ a r\ (\ C B P)

If A B C D is a parallelogram, then prove that a r\ (\ A B D)=\ a r\ (\ B C D)=\ a r\ (\ A B C)=\ a r\ (\ A C D)=1/2\ a r\ (|""|^(gm)A B C D)

A B C D is a parallelogram and E\ a n d\ F are the centroids of triangles A B D\ a n d\ B C D respectively, then E F= (a) A E (b) B E (c) C E (d) D E

In Figure, A B C D is a parallelogram, A E _|_D C a n d CC F_|_A D . If A B=16 C M , A E=8c m a n d C F=10 c m , find A D

In Figure, A B C D\ a n d\ A E F D are two parallelograms? Prove that: a r\ (\ A P E):\ a r\ (\ P F A)=\ a r\ \ (Q F D)\ : a r\ (\ P F D)

RD SHARMA-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. Triangles on the same base and between the same parallels are equal ...

    Text Solution

    |

  2. Triangles having equal areas and having one side of one of the trian...

    Text Solution

    |

  3. In Figure, A B C D is a parallelogram and E F C D is a rectangle. Also...

    Text Solution

    |

  4. If E ,F ,G and H are respectively the mid-points of the sides of a p...

    Text Solution

    |

  5. In Figure, P is a point in the interior of a parallelogram A B C D . S...

    Text Solution

    |

  6. In Figure, P Q R S and A B R S are parallelograms and X is any point o...

    Text Solution

    |

  7. The diagonals of a parallelogram A B C D intersect at a point Odot Thr...

    Text Solution

    |

  8. E , F , G , H are respectively, the mid-points of the sides A B ,B C ,...

    Text Solution

    |

  9. The side A B of a parallelogram A B C D is produced to any point Pdot ...

    Text Solution

    |

  10. In Figure, B C ||X Y ,B X||C A and A B|| YC Prove that: a r( A B X)=a...

    Text Solution

    |

  11. The medians B E and C F of a triangle A B C intersect at G . Prove tha...

    Text Solution

    |

  12. ABCD is a parallelogram. E is a point on BA such that BE =2 EA and F i...

    Text Solution

    |

  13. A circular grassy plot of land, 42 m in diameter has a path of 3.5m wi...

    Text Solution

    |

  14. A point O inside a rectangle A B C D is joined to the vertices. Prove ...

    Text Solution

    |

  15. A B C D is a quadrilateral and B D is one of its diagonals as shown ...

    Text Solution

    |

  16. In parallelogram A B C D ,A B=10c mdot The altitudes corresponding to ...

    Text Solution

    |

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

    Text Solution

    |

  18. The diagonals of a parallelogram A B C D intersect at Odot A lin...

    Text Solution

    |

  19. Prove that of all parallelograms of which the sides are given, the p...

    Text Solution

    |

  20. In the following figure, ABCD is a parallelogram and EFCD is a rectang...

    Text Solution

    |