Home
Class 9
MATHS
P is a point equidistant from two lines ...

`P` is a point equidistant from two lines `l` and `m` intersecting at a point `A` see in figure, Show that `A P` bisects the angle between them. Figure

Text Solution

Verified by Experts

`In /_PAB and /_PCB`
PB=PC
AP=AD
`/_PBA=/_PCA`
`/_PAB cong /_PCB(RHS)`
`/_PAB=/_CAP`.
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

P is a point equidistant from two lines 1 and m intersecting at point A (see Fig.7.38). Show that the line AP bisects the angle between them.

P is a point equidistant from two lines l and m intersecting at a point A, as shown in the given figure. Show that the line AP bisects tha angle between them.

In figure P is a point equidistant from the lines l and m intersecting at point A. Show that the line n (along AP) bisects the angle between l and m.

The locus of a point equidistant from two intersecting lines is

Show that the locus of a point, equidistant from two intersecting lines in the plane, is a pair of lines bisecting the angles formed by the given lines.

The loucs of a point which is a equidistant from two non-intersecting lines l and m is a _____

P is a point on either of the two lines y-sqrt(3)|x|=2 at a distance 5 units from their point of intersection The coordinates of the foot of the perpendicular from P on the bisector of the angle between them are

The locus of the point in a plane which is equidistant from two intersecting lines is _____

In the given figure, PS is the median, bisecting angle P, then angleQPS is

RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. A B C is a triangle and D is the mid-point of B C . The perpendiculars...

    Text Solution

    |

  2. The side B C of aA B C is produced on both sides. Show that the sum of...

    Text Solution

    |

  3. P is a point equidistant from two lines l and m intersecting at a poin...

    Text Solution

    |

  4. If two parallel lines are intersected by a transversal, prove that t...

    Text Solution

    |

  5. If A B C is an isosceles triangle such that A B=A C and A D is an alti...

    Text Solution

    |

  6. In Figure P S is the bisector of /Q P R and P T|Q R . Show that /T P S...

    Text Solution

    |

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

    Text Solution

    |

  8. A triangle A B C is right angled at AdotA L is drawn perpendicular to ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If one angle of a triangle is equal to the sum of the other two, sho...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. In triangle A B C ,/B=45^@,/C=55^@ and bisector of /A meets B C at a p...

    Text Solution

    |

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

    Text Solution

    |

  20. In Figure, if A B D E ,/B A C=35^0 and /C D E=53^0 , find /D C Edot

    Text Solution

    |