Home
Class 9
MATHS
In Figure, A P and B Q are perpendicular...

In Figure, `A P` and `B Q` are perpendiculars to the line segment `A B` and `A P=B Qdot` Prove that `O` is the mid-point of line segment `A B` and `P Qdot`

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    RD SHARMA|Exercise All Questions|306 Videos
  • CONSTRUCTION

    RD SHARMA|Exercise All Questions|29 Videos

Similar Questions

Explore conceptually related problems

In Figure,AP and BQ are perpendiculars to the line segment AB and AP=BQ. Prove that O is the mid-point of line segment AB and PQ

In figure l||m and M is the mid-point of the line segment AB. Prove that M is also the mid-point of line segment CD.

A (-3,2) and B(5,4) are the end points of a lline segment , find the coordinates of the mid points of the line segment :

If P(x,6) is the mid-point of the line segment joining A(6,5) and B(4,y), find y.

If P(2,6) is the mid-point of the line segment joining A(6,5) and B(4,y), find y.

In Figure,line segments AB is parallel to another line segment CDdot O is the mid-point of AD .Show that: O is also the mid-point of BD

Find the co-ordinates of point P if P is the midpoint of a line segment AB with A(-4,2) and B(6,2)

If a perpendicular is drawn to a line segment MN at N and point P is marked on perpendicular, then

If P(-1, 1) is the midpoint of the line segment joining A(-3, b) and B(1, b+4) then b = ?

RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. In Figure, B D and C E are two altitudes of a A B C such that B D=C...

    Text Solution

    |

  2. The side B C\ of a A B C is produced, such that D is one ray B Cdot ...

    Text Solution

    |

  3. In Figure, A P and B Q are perpendiculars to the line segment A B and ...

    Text Solution

    |

  4. In Figure, /X=62^0,/X Y Z=54^0dot If Y O and Z O are bisectors of /X Y...

    Text Solution

    |

  5. AD and BE are respectively altitudes of triangle ABC ...

    Text Solution

    |

  6. In Figure, /Q P R=/P Q R and M and N are respectively on sides Q...

    Text Solution

    |

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

    Text Solution

    |

  8. In figure, A D and B E are respectively altitudes of an isosceles tr...

    Text Solution

    |

  9. In figure, P Q R is a triangle in which P Q=P R and S is any point on ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. In given figure the altitudes AD, BE and CF , the altitudes of triang...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. A B C and D B C are two isosceles triangles on the same base B C ...

    Text Solution

    |

  17. Explain -Side Side Side(SSS) Congruence .

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |