Home
Class 12
MATHS
Prove that the feet of the perpendicular...

Prove that the feet of the perpendicular from the origin on the lines `x+y=4,x+5y=26, 15x-27y=424` are collinear.

A

`3x+y-8=0`

B

`3x-7+8=0`

C

`3x+y+8=0`

D

`3x-y-8=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-1)|10 Videos

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-2)|7 Videos

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|119 Videos

  • SETS ( APPENDIX - 1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE|70 Videos

  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4 )|4 Videos

Similar Questions

Explore conceptually related problems

Show that the feet of the perpendicular from (-2,-8) to the lines x-2y+6=0,x-7y+6=0 and x+3y-4=0 are collinear.

Find he foot of the perpendicular from (2,3) to the line 4x-5y+8=0 .

Find the perpendicular distances from the origin to the line x-3y-4=0 .

The perpendicular form of the line 3x+4y-5=0 is

The perpendicular distance from the origin to the plane x + y + Z+3 =0 is

The product of perpendiculars from origin to the pair of lines 2x^(2)+5xy+3y^(2)+6x+7y+4=0 is

Consider a variable line L which passes through the point of intersection P of the line 3x+4y-12=0 and x+2y-5=0 meetingt the coordinate axes at point A and B. Locus of the feet of the perpendicular from the origin on the variable line L has the equation

DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1B
  1. A : The foot of the perpendicular from (3, 4) on the line 3x-4y+5=0 is...

    Text Solution

    |

  2. The foot of the perpendicular from (0, 0) to the line x cos alpha+y si...

    Text Solution

    |

  3. Prove that the feet of the perpendicular from the origin on the lines ...

    Text Solution

    |

  4. The image of the point (2, -1) w.r.t the point (1, -4) is

    Text Solution

    |

  5. The image of the point (2, 1) w.r.t the line x+1=0 is

    Text Solution

    |

  6. The image of the point (3, 4) w.r.t the line 3x+4y+5=0 is

    Text Solution

    |

  7. The image of the point (3, 8) in the line x+3y=7 is

    Text Solution

    |

  8. The coordinate of the image of the orgin O with respect to the straigh...

    Text Solution

    |

  9. The reflection of the point (6, 8) in the line x = y is

    Text Solution

    |

  10. The image of the point (4, -13) with respect to the line 5x+y+6=0 is :

    Text Solution

    |

  11. If (-2, 6) is the image of the point (4, 2) with respect to the line L...

    Text Solution

    |

  12. If the image of (-7//5, -6//5) in a line is (1, 2), then the equation ...

    Text Solution

    |

  13. The image of the point (4, -13) with respect to the line 5x+y+6=0 is :

    Text Solution

    |

  14. If the point (1, 2) is reflected through the origin and then through t...

    Text Solution

    |

  15. A ray of light along x+sqrt(3)y=sqrt(3) gets reflected upon reaching x...

    Text Solution

    |

  16. If 2x-3y-5=0 is the perpendicular bisector of the line segment joining...

    Text Solution

    |

  17. If x+3y=16 is the perpendicular bisector of bar(AB) and A(5, 7), then...

    Text Solution

    |

  18. If 2x+3y=5 is the perpendicular bisector of the line segment joining t...

    Text Solution

    |

  19. Suppose A,B are two points on 2x-y+3=0 and P(1,2) is such that PA=PB. ...

    Text Solution

    |

  20. The equation of perpendicular bisectors of AB and AC of a triangle ABC...

    Text Solution

    |