Home
Class 9
MATHS
In Figure, /Q P R=/P Q R and M and ...

In Figure, `/_Q P R=/_P Q R` and `M` and `N` are respectively on sides `Q R` and `P R` of ` P Q R` such that `Q M=P N` . Prove that `O P=O Q ,` where `O` is the point of intersection of `P M` and `Q Ndot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    RD SHARMA ENGLISH|Exercise All Questions|306 Videos
  • CONSTRUCTION

    RD SHARMA ENGLISH|Exercise All Questions|40 Videos

Similar Questions

Explore conceptually related problems

In Figure, /_Q P R=\ /_P Q R\ a n d\ M\ a n d\ N are respectively on sides Q R\ a n d\ P R of P Q R\ such that Q M=P Ndot Prove that O P=O Q , where O is the point of intersection of P M\ a n d\ Q N

In Figure, O P||R S . Determine /_P Q R

In Figure, T is a point on side Q R of P Q R and S is a point such that R T=S Tdot Prove That : P Q+P R > Q S

In Figure, P Q R S is a quadrilateral and T\ a n d\ U are respectively points on P S and R S such that P Q=R Q ,\ /_P Q T=/_R Q U\ a n d\ /_T Q S=/_U Q Sdot Prove that Q T=Q Udot

In Figure, P Q > P R. Q S\ a n d\ R S are the bisectors of /_ Q and /_R respectively. Prove that S Q > S R .

In Delta P Q R , if P Q=Q R and L ,M and N are the mid-points of the sides P Q ,Q R and R P respectively. Prove that L N=M Ndot

P Q\ a n d\ R S are two parallel chords of a circle and lines R P\ a n d\ S Q intersect each other at O as shown in Figure. Prove that O P=O Q

In Figure, /_P Q R=100^0, where P ,\ Q\ a n d\ R are points on a circle with centre. Odot Find /_O P R

In Figure, /_P Q R=\ /_P R Q , then prove that /_P Q S=\ /_P R Tdot

In Figure, P Q R S is a parallelogram, P O and Q O are, respectively, the angle bisectors of /_P and /_Qdot Line L O M is drawn parallel to P Qdot Prove that : P L=Q M (ii) L O=O M

RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. In Figure, /X=62^0,/X Y Z=54^0dot If Y O and Z O are bisectors of /X Y...

    Text Solution

    |

  2. AD and BE are respectively altitudes of triangle ABC such th...

    Text Solution

    |

  3. In Figure, /Q P R=/P Q R and M and N are respectively on side...

    Text Solution

    |

  4. In Figure, line segment A B is parallel to another line segment C D ...

    Text Solution

    |

  5. A D and B E are respectively altitudes of an isosceles triangle A B...

    Text Solution

    |

  6. P Q R is a triangle in which P Q=P R and S is any point on the side P ...

    Text Solution

    |

  7. If the bisector of the exterior vertical angle of a triangle be par...

    Text Solution

    |

  8. Prove that Two right triangles are congruent if the hypotenuse and o...

    Text Solution

    |

  9. AD, BE and CF , the altitudes of triangle ABC are eq...

    Text Solution

    |

  10. A point O is taken inside an equilateral four sided figure A B C D suc...

    Text Solution

    |

  11. In Delta P Q R , if P Q=Q R and L ,M and N are the mid...

    Text Solution

    |

  12. If two isosceles triangles have a common base, prove that the line ...

    Text Solution

    |

  13. Side Side Side(SSS) Congruence : Two triangles are congruent if the th...

    Text Solution

    |

  14. A B C D is a parallelogram, if the two diagonals are equal, find the...

    Text Solution

    |

  15. In a A B C , it is given that A B=A C and the bisectors of /B a...

    Text Solution

    |

  16. A B C is a triangle in which /B =2 /CdotD is a point on B C s...

    Text Solution

    |

  17. In A B C ,\ /A=100^0a n d\ A B=A Cdot Find /B\ a n d\ /C

    Text Solution

    |

  18. In Figure, A B=A C\ a n d\ /A C D=120^0dot Find /A

    Text Solution

    |

  19. Prove that measure of each angle of an equilateral triangle is 60^0...

    Text Solution

    |

  20. In Figure O is the mid-point of A B\ a n d\ C Ddot Prove that \ A O C...

    Text Solution

    |