Home
Class 9
MATHS
A point D is taken on the side B C of...

A point `D` is taken on the side `B C` of a `\ A B C` such that `B D=2D Cdot` Prove that `a r\ (\ A B D)=\ 2\ a r\ (\ A D C)`

Text Solution

AI Generated Solution

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

A point D is taken on the side B C of a A B C such that B D=2d Cdot Prove that a r( A B D)=2a r( A D C)dot

A B C D is a parallelogram, G is the point on A B such that A G=2\ G B ,\ E\ is a point of D C such that C E=2D E\ a n d\ F is the point of B C such that B F=2F Cdot Prove that: a r\ (A D E G)=\ a r\ (G B C E)

A point D is on the side B C of an equilateral triangle A B C such that D C=1/4\ B C . Prove that A D^2=13\ C D^2 .

In Figure D\ a n d\ E are two points on B C such that B D=D E=E Cdot Show that a r(\ A B D)=\ a r\ (\ A D E)=a r\ (\ A E C)dot

D is a point on the side B C of A B C such that /_A D C=/_B A C . Prove that (C A)/(C D)=(C B)/(C A) or, C A^2=C BxxC D .

In a \ A B C , If L\ a n d\ M are points on A B\ a n d\ A C respectively such that L M || B Cdot Prove that: a r\ (\ L B C)=\ a r\ (\ M B C)

In Figure, A B=A C\ a n d\ D B=D Cdot\ Prove that /_A B D=/_A C D

In Figure, A B=A C ,\ D is the point in the interior of A B C such that " "/_D B C=" "/_D C Bdot Prove that A D bisects B A C\ of A B Cdot

Diagonals A C\ a n d\ B D of a trapezium A B C D with A B||D C intersect each other at O . Prove that a r\ ( A O D)=\ a r\ ( B O C) .

p\ A N D\ q are any two points lying on the sides D C\ a n d\ A D respectively of a parallelogram A B C Ddot\ Show that a r( A P B)=a r\ ( B Q C)dot

RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. If P is any point in the interior of a parallelogram A B C D , then ...

    Text Solution

    |

  2. If A D is a median of a triangle A B C ,\ then prove that triangl...

    Text Solution

    |

  3. A point D is taken on the side B C of a \ A B C such that B D=2D Cd...

    Text Solution

    |

  4. A B C D is a parallelogram whose diagonals intersect at O. If P is a...

    Text Solution

    |

  5. A B C D is a parallelogram in which B C is produced to E such that...

    Text Solution

    |

  6. A B C D is a parallelogram whose diagonals A C\ a n d\ B D intersect...

    Text Solution

    |

  7. A B C D is a parallelogram. E is a point on B A such that B E=2\ E A...

    Text Solution

    |

  8. In triangle A B C ,\ P\ a n d\ Q are respectively the mid-points o...

    Text Solution

    |

  9. In triangle A B C ,\ P\ a n d\ Q are respectively the mid-points o...

    Text Solution

    |

  10. In triangle A B C ,\ P\ a n d\ Q are respectively the mid-points o...

    Text Solution

    |

  11. A B C D is a parallelogram, G is the point on A B such that A G=...

    Text Solution

    |

  12. A B C D is a parallelogram, G is the point on A B such that A G=2\...

    Text Solution

    |

  13. A B C D is a parallelogram, G is the point on A B such that A G=2\...

    Text Solution

    |

  14. In figure, ABCD is a parallelogram, AE perpendicular to DC and CF perp...

    Text Solution

    |

  15. In Figure, C D\ || A E\ a n d\ C Y || B A. (i) Name a triangle equa...

    Text Solution

    |

  16. In figure, P S D A is a parallelogram in which P Q=Q R=R S\ a n d\ A...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. In Figure, A B C D is a trapezium in which A B || D C a n d DC=40cm ...

    Text Solution

    |

  20. In Figure, A B C\ a n d\ B D E are two equilateral triangls such tha...

    Text Solution

    |