Home
Class 12
MATHS
If the straight lines 2x+3y-1=0,x+2y-1=0...

If the straight lines `2x+3y-1=0,x+2y-1=0,a n da x+b y-1=0` form a triangle with the origin as orthocentre, then `(a , b)` is given by `(6,4)` (b) `(-3,3)` `(-8,8)` (d) `(0,7)`

A

`(6,4)`

B

`(-3,3)`

C

`(-8,8)`

D

`(0,7)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2017

    SIA PUBLICATION|Exercise CHEMISTRY|3 Videos
  • SYSTEM OF CIRCLE

    SIA PUBLICATION|Exercise PROBLEMS|24 Videos

Similar Questions

Explore conceptually related problems

If the staight lines 2x+3y-1=0,x+2y-1=0, and ax+by-1=0 from a triangle with the origin as orthocenter, then (a,b) is given by

The straight line x+y=0, 3x+y-4=0 and x+3y-4=0 from a triangle which is

Show that the straight lines x+y=0, 3x+y-4=0 and x+3y-4=0 form an isosceles triangle.

SIA PUBLICATION-STRAIGHT LINE-EXERCISE (PROBLEMS)
  1. The locus of the point P which is equidistant from 3x+4y+5=0 and 9x + ...

    Text Solution

    |

  2. If the equation to the locus of points equidistant from the points (-2...

    Text Solution

    |

  3. If the straight lines 2x+3y-1=0,x+2y-1=0,a n da x+b y-1=0 form a trian...

    Text Solution

    |

  4. The point on the line 4x -y-2 = 0 which is equidistant from the points...

    Text Solution

    |

  5. If the lines x+2ay+a=0, x+3by+b=0 and x+4cy+c=0 are concurrent then a,...

    Text Solution

    |

  6. The equation of a straight line, perpendicular to 3x-4y=6 and forming ...

    Text Solution

    |

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

    Text Solution

    |

  8. If a line I passes through (k, 2k), (3k , 3k) and (3,1), k ne 0, then ...

    Text Solution

    |

  9. If p and q are the perpendicular distances from the origin to the stra...

    Text Solution

    |

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

    Text Solution

    |

  11. Find the set of values of a if the points (1,2) and (3,4) lie to the s...

    Text Solution

    |

  12. The perpendicular distance from the point (1,pi) to the line joining (...

    Text Solution

    |

  13. The equation of a straight line passing through the point (1, 2) and i...

    Text Solution

    |

  14. A point moves in the xy-plane such that the sum of its distances from ...

    Text Solution

    |

  15. The number of points P(x, y) with natural numbers as coordinates that ...

    Text Solution

    |

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

    Text Solution

    |

  17. The line joining the points A(2,0) and B(3,1) is rotated through an an...

    Text Solution

    |

  18. The polar equation of the line perpendicular to the line sin theta-cos...

    Text Solution

    |

  19. If a straight line L is perpendicular to the line 4x-2y=1 and forms a ...

    Text Solution

    |

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

    Text Solution

    |