Home
Class 10
MATHS
A B C D is a parallelogram and A P Q is ...

`A B C D` is a parallelogram and `A P Q` is a straight line meeting `B C` at `Pa n dD C` produced at `Qdot` prove that the rectangle obtained by `B Pa n dD Q` is equal to the rectangle contained by `A Ba n dB Cdot`

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

A B C D is a parallelogram and E is the mid-point of B C ,\ D E\ a n d\ A B when produced meet at F . Then A F=

A B C D is a parallelogram. A D is a produced to E so that D E=D C and E C produced meets A B produced in Fdot Prove that B F=B Cdot

A B C D is a parallelogram. A D is a produced to E so that D E=D C and E C produced meets A B produced in Fdot Prove that B F=B Cdot

A B C D is a parallelogram. The circle through A ,Ba n dC intersects C D produced at E , prove that A E=A Ddot

A B C D is a parallelogram. The circle through A ,Ba n dC intersects C D produced at E , prove that A E=A Ddot

In a rectangle A B C D , prove that A C B~= C A Ddot

A B C D is a cyclic quadrilateral. A Ba n dD C are produced to meet in Edot Prove that E BC ~EDAdot

A straight line is drawn through P(3,4) to meet the axis of x and y at Aa n dB , respectively. If the rectangle O A C B is completed, then find the locus of Cdot

A B C D is a parallelogram whose diagonals A C\ a n d\ B D intersect at O . A line through O intersects A B\ a t\ P\ a n d\ D C\ at Q . Prove that a r\ (\ /_\P O A)=\ a r\ (\ /_\Q O C) .

A B C is a triangle and through A ,\ B ,\ C lines are drawn parallel to B C ,\ C A\ a n d\ A B respectively intersecting at P ,\ Q\ a n d\ R . Prove that the perimeter of P Q R is double the perimeter of A B C

RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. Two triangle ABC and D B C lie on the same side of the base B C . From...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. ABCD is a quadrilateral in which P, Q, R and S are mid-points of the...

    Text Solution

    |

  5. Through the mid-point M of the side C D of a parallelogram A B C D , t...

    Text Solution

    |

  6. D is the mid-point of side BC of a triangle ABC.AD is bisected ...

    Text Solution

    |

  7. Fill in the blanks using the correct word given in brackets: (a) All...

    Text Solution

    |

  8. Fill in the blanks using the correct word given in brackets: Two ...

    Text Solution

    |

  9. Write the truth value (T/F) of each of the following statements:(1) ...

    Text Solution

    |

  10. Write the truth value (T/F) of each of the following statements: (1)...

    Text Solution

    |

  11. In a given /\ ABC ,D E||B C and (A D)/(D B)=3/5dot If A C=5. 6 , fi...

    Text Solution

    |

  12. In Figure, LM||AB If A L=x-3,\ \ A C=2x ,\ \ B M=x-2 and B C=2x+3 , fi...

    Text Solution

    |

  13. In Fig. if S T || Q R . Find P S

    Text Solution

    |

  14. In Fig. (i) and (ii), P Q || B C . Find Q C in (i) and A Q in (ii) (...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. In Fig. 4.32, D E|| A Q and D F|| A R . Prove that E F || Q R . ...

    Text Solution

    |