Home
Class 10
MATHS
In figure, P is the mid-point of B C , ...

In figure, `P` is the mid-point of `B C , ,Q` is the mid-point of `A P` , such that `B Q` produced meets `A C` at `Rdot` Prove that `3RA= CA`

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    RD SHARMA ENGLISH|Exercise All Questions|420 Videos
  • TRIGONOMETRIC IDENTITIES

    RD SHARMA ENGLISH|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

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 .

A parallelogram ABCD has P the mid-point of DC and Q a midpoint of AC such that CQ = (1)/(4) AC. PQ produced meets BC at R. Prove that: R is the mid-point of BC

In A B C ,A D is the median through A and E is the mid-point of A D . B E produced meets A C in F (Figure). Prove that A F=1/3A C .

A parallelogram ABCD has P the mid-point of DC and Q a point of AC such that CQ = (1)/(4) AC. PQ produced meets BC at R. Prove that: PR=(1)/(2)DB .

In A B C ,A D is the median through A and E is the mid-point of A D . B E produced meets A C in F (Figure). Prove that A F=1/3A Cdot

In A B C ,A D is the median through A and E is the mid-point of A D . B E produced meets A C in F (Figure). Prove that A F=1/3A Cdot

In the figure, given below, 2AD=AB,P is the mid-point of AB, Q is the mid-point of DR and PR||BS . Prove that : DS=3RS

In the figure, given below, 2AD=AB,P is the mid-point of AB, Q is the mid-point of DR and PR||BS . Prove that : AQ||BS

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

RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. In Figure, /B A C=90^0,A D is its bisector. If D E|A c , prove that D...

    Text Solution

    |

  2. Prove that the line segments joints joining the mid-points of the a...

    Text Solution

    |

  3. In figure, P is the mid-point of B C , ,Q is the mid-point of A P ,...

    Text Solution

    |

  4. A vertical stick 12m long casts a shadow 8m long on the ground. At the...

    Text Solution

    |

  5. In a quadrilateral A B C D , if bisectors of the /A B Ca n d/A D C mee...

    Text Solution

    |

  6. In A B C , the bisector of /B meets A C at D. A line PQ||AC meets A B...

    Text Solution

    |

  7. The bisectors of the angles B and C of a triangle A B C , meet the o...

    Text Solution

    |

  8. In A B C ,/B=2/C and the bisector of /B intersects A C at Ddot Prove ...

    Text Solution

    |

  9. In Figure, D E || B C , if A D=x ,D B=x-2,A E=x+2 and E C=x-1, find th...

    Text Solution

    |

  10. Lex X by any point on the side BC of a triangle ABC. If XM, XN are d...

    Text Solution

    |

  11. In Figure P Q is parallel to M Ndot if (K P)/(P M)=4//13 and K N=20. 4...

    Text Solution

    |

  12. In Figure DE||BC and CD||EF. Prove that A D^2=A B*A F.

    Text Solution

    |

  13. Da n dE are respectively the points on the side A Ba n dA C of a A B ...

    Text Solution

    |

  14. ABCD is a parallelogram. P is a point on the side BC DP when produced ...

    Text Solution

    |

  15. In Figure D E A C and D C a pdot Prove that (B E)/(E C)=(B C)/(C P)

    Text Solution

    |

  16. Prove that the area of equilateral triangle described on the side of a...

    Text Solution

    |

  17. Equilateral triangles are drawn on the sides of a right triangle. Show...

    Text Solution

    |

  18. Two triangle ABC and D B C lie on the same side of the base B C . From...

    Text Solution

    |

  19. A B C D is a quadrilateral; P , Q , Ra n dS are the points of trisecti...

    Text Solution

    |

  20. A B C D is a parallelogram and A P Q is a straight line meeting B C at...

    Text Solution

    |