Home
Class 9
MATHS
Of all the line segments that can be dra...

Of all the line segments that can be drawn to a given line, from a point, not lying on it, the perpendicular line segment is the shortest. GIVEN : A straight line `l` and a point `P` not lying on `ldot` `P M_|_l` and `N` is any point on `1` other than `Mdot` TO PROVE : `P M

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

Show that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.

The number of perpendicular that can be drawn to a line from a point not on it is

The number of perpendiculars bisectors that can be drawn of a given line segment is :

AB is a given line segment with a point C on it . Draw a line segment perpendicular to AB at the point C.

Draw a perpendicular to a given line segment AB though a point P lying outside AB.

Draw a line segment P Q length 8. 4\ c mdot Draw the perpendicular bisector of this line segment.

Prove that the locus of a point equidistant from the extermities of a line segment is the perpendicular bisector if it.

A line segment AB is bisected at point P and through point P another line segment PQ, which is perpendicular to AB, is drawn. Show that : QA = QB.

Draw a perpendicular to a given line segment though a point K on the line segment .

Draw a perpendicular to a given line segment though a point R on the line segment .

RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. If A B C is an isosceles triangle such that A B=A C and A D is an alti...

    Text Solution

    |

  2. If PS is the bisector of /Q P R and P T|Q R . Show that /T P S=1/2(/Q...

    Text Solution

    |

  3. Of all the line segments that can be drawn to a given line, from a ...

    Text Solution

    |

  4. A triangle A B C is right angled at A. AL is drawn perpendicular to B...

    Text Solution

    |

  5. The sum of any two sides of a triangle is greater than the third sid...

    Text Solution

    |

  6. In Figure AB||DC , if x=(4y)/3 and y=(3z)/8, find /B C D ,/A B C and /...

    Text Solution

    |

  7. A B is a line segment and line l is its perpendicular bisector. If ...

    Text Solution

    |

  8. A B C is a triangle in which /A=72^0 , the internal bisectors of angle...

    Text Solution

    |

  9. AB is a line-segment. P and Q are points on opposite sides of AB suc...

    Text Solution

    |

  10. If one angle of a triangle is equal to the sum of the other two, sh...

    Text Solution

    |

  11. Suppose line segments A B and C D intersect at O in such a way that A ...

    Text Solution

    |

  12. Two angles of a triangle are equal and the third angle is greater th...

    Text Solution

    |

  13. If D is the mid-point of the hypotenuse A C of a right triangle A B C ...

    Text Solution

    |

  14. In triangle A B C ,/B=45^0,/C=55^0 and bisector of /A meets B C at ...

    Text Solution

    |

  15. A B is a line segment, A X and B Y are two equal line segments drawn o...

    Text Solution

    |

  16. In Figure, if AB||DE ,/B A C=35^0 and /C D E=53^0 , find /D C E.

    Text Solution

    |

  17. l and m are two parallel lines intersected by another pair of parall...

    Text Solution

    |

  18. (Exterior Angle Theorem): If a side of a triangle is produced, the e...

    Text Solution

    |

  19. Two triangles are congruent if include two angles and the included s...

    Text Solution

    |

  20. A ,B ,C are three angles of a triangle. If A-B=15^0,B-C=30^0, find /A...

    Text Solution

    |