Home
Class 9
MATHS
If A D is median of A B C and P is a...

If `A D` is median of ` A B C` and `P` is a point on `A C` such that `a r\ ( A D P):\ a r\ ( A B D)=2:3,\ ` then `a r( P D C): a r\ ( A B C)` is `1:5` (b) `1:5` (c) `1:6` (d) `3:5`

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 D is one of the medians of a A B Cdot\ \ X is any point on A D . Show that a r( A B X)=a r\ ( A C X)

In a A B C ,\ E is the mid-point of median A Ddot Show that a r\ ( B E D)=1/4a r\ ( A B C)

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

If A B C and D E F are two triangles such that (A B)/(D E)=(B C)/(E F)=(C A)/(F D)=2/5 , then A r e a( A B C): A r e a( D E F)=

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 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)

Diagonals AC and BD of a quadrilateral ABCD intersect each other at P. Show that a r\ (A P B)\ xx\ a r\ (C P D)\ =\ a r\ (A P D)\ xx\ a r\ (B P C)dot

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)

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

In A B C ,D is the mid-point of A B ,P is any point of B CdotC Q P D meets A B in Q . Show that a r( B P Q)=1/2a r( A B C)dot

RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. Two parallelograms are on equal bases and between the same parallels. ...

    Text Solution

    |

  2. A triangle and a parallelogram are on the same base and between the ...

    Text Solution

    |

  3. Let A B C be a triangle of area 24sq. units and P Q R be the tri...

    Text Solution

    |

  4. The median of a triangle divides it into two (a)congruent triangle...

    Text Solution

    |

  5. In a A B C ,\ D ,\ E ,\ F are the mi-points of sides B C ,\ C A\ a...

    Text Solution

    |

  6. A B C D is a parallelogram. P is any point on C Ddot If a r\ ( D...

    Text Solution

    |

  7. The area of the figure formed by joining the mid-points of the adja...

    Text Solution

    |

  8. A ,\ B ,\ C ,\ D are mid-points of sides of a parallelogram P Q R S...

    Text Solution

    |

  9. The figure obtained by joining the mid-points of the adjacent sides ...

    Text Solution

    |

  10. The mid points of the sides of a triangle A B C along with any o...

    Text Solution

    |

  11. If A D is median of A B C and P is a point on A C such that a r...

    Text Solution

    |

  12. Medians of A B C intersect at G . If a r\ ( A B C)=27\ c m^2, then ...

    Text Solution

    |

  13. In a A B C if D\ a n d\ E are mid-points of B C\ a n d\ A D respect...

    Text Solution

    |

  14. In Figure, A B C D is a parallelogram. If A B=12\ c m ,\ \ A E=7. 5\ c...

    Text Solution

    |

  15. In Figure, P Q R S is a parallelogram. If X\ a n d\ Y are mid-points...

    Text Solution

    |

  16. In Figure, A B C D\ a n d\ F E C G are parallelograms equal in area. I...

    Text Solution

    |

  17. Diagonal A C\ a n d\ B D of trapezium A B C D , in which A B || D C ...

    Text Solution

    |

  18. A B C D is a trapezium in which AB\||\D Cdot If a r( A B D)=24\ c m...

    Text Solution

    |

  19. A B C D is a trapezium with parallel sides A B=a\ a n d\ D C=bdot I...

    Text Solution

    |

  20. A B C D is a rectangle with O as any point in its interior. If a r\...

    Text Solution

    |