Home
Class 10
MATHS
In Fig. if P Q|| B C and P R|| C D . P...

In Fig. if `P Q|| B C` and `P R|| C D` . Prove that (i) `(A R)/(A D)=(A Q)/(A B)` (ii) `(Q B)/(A Q)=(D R)/(A R)` . (FIGURE)

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    RD SHARMA|Exercise All Questions|417 Videos
  • TRIGONOMETRIC IDENTITIES

    RD SHARMA|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

In Fig.9.28, A P" "||" "B Q" "||" "C R . Prove that a r" "(A Q C)" "=" "a r" "(P B R)dot

In Fig. 6.15, /_P Q R=/_P R Q , then prove that /_P Q S=/_P R T .

In figure Cm and RN are respectively the medians of DeltaA B C and DeltaP Q R . If DeltaA B C ~DeltaP Q R , prove that: (i) DeltaA M C ~DeltaP N R (ii) (C M)/(R N)=(A B)/(P Q) (ii) DeltaC M B ~DeltaR N Q

In Figure, A B C D is a parallelogram. Prove that: a r( B C P)=a r( D P Q) CONSTRUCTION : Join A Cdot

In Figure, A B C D\ a n d\ P Q R C are rectangles and Q is the mid-point of A C . Prove that D P=P C (ii) P R=1/2\ A C

In Figure, P S D A is a parallelogram in which P Q=Q R=R S\ a n d\ A P B Q C Rdot Prove that a r\ (\ P Q E)=\ a r\ (\ C F D)dot

In Figure, two sides A B\ a n d\ B C and the median A D\ of A B C are equal respectively to the two sides P Q\ a n d\ Q R and the median P M of the other triangle P Q Rdot Prove that A B D~= P Q M (ii) A B C\ ~=\ \ P Q R

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 AD and PM are medians of triangles ABC and PQR, respectively whereDeltaA B C DeltaP Q R , prove that (A B)/(P Q)=(A D)/(P M)

In A A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A Pdot Prove that: a r\ (\ P R Q)=1/2a r\ (\ A R C)

RD SHARMA-TRIANGLES-All Questions
  1. In Fig. if E F|| D C|| A Bdot Prove that (A E)/(E D)=(B F)/(F C) . (...

    Text Solution

    |

  2. In Fig. if E F|| D C|| A Bdot Prove that (A E)/(E D)=(B F)/(F C) . (...

    Text Solution

    |

  3. In Fig. if P Q|| B C and P R|| C D . Prove that (i) (A R)/(A D)=(A...

    Text Solution

    |

  4. Any point X inside D E F is joined to its vertices. From a point P...

    Text Solution

    |

  5. In Fig. 4.31, if (A D)/(D C)=(B E)/(E C) and /C D E=/C E D , prove ...

    Text Solution

    |

  6. In Fig. 4.32, D E A Q and D F A R . Prove that E F Q R . (FIG...

    Text Solution

    |

  7. In Fig. 4.33, (P S)/(S Q)=(P T)/(T R) and /P S T=/P R Q . Prove ...

    Text Solution

    |

  8. In Fig. 4.34, A ,\ B and C are points on O P ,\ O Q and O R resp...

    Text Solution

    |

  9. In a A B C , D and E are points on the sides A B and A C respectiv...

    Text Solution

    |

  10. In a A B C , D and E are points on the sides A B and A C respectiv...

    Text Solution

    |

  11. In a A B C , D and E are points on the sides A B and A C respectiv...

    Text Solution

    |

  12. In a A B C , D and E are points on the sides A B and A C respectiv...

    Text Solution

    |

  13. In a A B C ,\ \ D\ a n d\ E are points on the sides A B and A C re...

    Text Solution

    |

  14. In a A B C ,\ \ D\ a n d\ E are points on the sides A B and A C re...

    Text Solution

    |

  15. In a A B C , P and Q are point on the sides A B and A C respective...

    Text Solution

    |

  16. In a A B C , D and E are points on A B and A C respectively such ...

    Text Solution

    |

  17. In Fig. 4.35, state if P Q E F . (FIGURE)

    Text Solution

    |

  18. M and N are points on the sides P Q and P R respectively of a P...

    Text Solution

    |

  19. If D and E are points on sides A B and A C respectively of a A ...

    Text Solution

    |

  20. In Fig. 4.41, A D is the bisector of /A . If B D=4c m , D C=3c m...

    Text Solution

    |