Home
Class 12
MATHS
The equation of two straight lines throu...

The equation of two straight lines through the point `(x_(1),y_(1))` and perpendicular to the lines given by `ax^(2)+2hxy+by^(2)=0`, is

A

`a(y-y_(1))^(2)+2h(x-x_(1))(y-y_(1))+b(x-x_(1))^(2)=0`

B

`a(y-y_(1))^(2)-2h(x-x_(1))(y-y_(1))+b(x-x_(1))^(2)=0`

C

`b(y-y_(1))^(2)+2h(x-x_(1))(y-y_(1))+a(x-x_(1))^(2)=0`

D

`a(x-x_(1))+2h(x-x_(1))(y-y_(1))+b(y-y_(2))=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|19 Videos
  • MATRICES

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|26 Videos
  • PLANE IN SPACE

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP- CHAPTERS 6,7,22|1 Videos

Similar Questions

Explore conceptually related problems

The equation of the straigh lines through the point (x_(1),y_(1)) and parallel to the lines given by ax^(2)+2xy+ay^(2)=0 , is

The equation of the straight line passing through the point (3,2) and perpendicular to the line y=x is

The combined equation of the pair of lines through the origin and perpendicular to the pair of lines given by ax^(2)+2hxy+by^(2)=0 , is

The combined equation of the pair of lines through the point (1, 0) and perpendicular to the lines represented by 2x^(2)-xy-y^(2)=0 , is

The equation of the line passing through the point (1,2) and perpendicular to the line x+y+1=0 is

Find the equation of the straight line passing through the point (2, 5) and perpendicular to the line 2x+5y=31 .

The joint equation of pair of lines through point (1, 2) and perpendicular to the lines given by 2x^(2)-5xy+3y^(2)=0 is

Equation of a line passing through the point (2,3) and perpendicular to the line x+y+1=0 is :

(i) Find the equations of the straight line passing through the point (2,3,-1) and is perpendicular to the lines : ( x-2)/(2) = (y + 1)/(1) = (z - 3)/(-3) and (x - 3)/(1) = (y + 2)/(1) = (z - 1)/(1) . (ii) Find the equation of the line which intersects the lines : (x + 2)/(1) = (y - 3)/(2) = (z + 1)/(4) and (x - 1)/(2) = (y - 2)/(3) = (z - 3)/(4) Perpendicular and passes through the point (1,1,1) .

MARVEL PUBLICATION-PAIR OF STRAIGHT LINES-TEST YOUR GRASP
  1. The equation of two straight lines through the point (x(1),y(1)) and p...

    Text Solution

    |

  2. Joint equation of the X-axis and the bisector of the angle in the firs...

    Text Solution

    |

  3. If m is the slope of one fo the two lines jointly given by the equatio...

    Text Solution

    |

  4. If the two lines (3x-y)^(2)=k(x^(2)+y^(2)) are mutualy perpendiculart ...

    Text Solution

    |

  5. If kx+3y=0 is one of the two lines 5x^(2)+3xy-y^(2)=0 then k^(2)-9k=

    Text Solution

    |

  6. If one of the two lines 3x^(2)-kxy-y^(2)=0 bisects an angle between th...

    Text Solution

    |

  7. If the two lines kx^(2)+5xy+9y^(2)=0 are equally inclined with the cor...

    Text Solution

    |

  8. Combined equation of the two lines passing through the origin, forming...

    Text Solution

    |

  9. If the lines 3x^(2)-kxy-3y^(2)=0 and x+2y=8 form and isosceles triangl...

    Text Solution

    |

  10. Length of each leg of an isosceles right angled triangle, formed by th...

    Text Solution

    |

  11. If the equation kxy+10x+6y+4=0 represents a pair of lines then : k=

    Text Solution

    |

  12. If the angle between the lines ax^(2)+xy+by^(2)=0 is 45^(@), then

    Text Solution

    |

  13. If the equation ax^(2)+ay^(2)+2gx+2fy+c=0 represents a pair of lines t...

    Text Solution

    |

  14. If 3h^(2)=4ab, then the ratio of the slopes of the lines ax^(2)+2hxy+b...

    Text Solution

    |

  15. Lines represented by the equation 5x^(2)-2xy+2y^(2)=0 are

    Text Solution

    |

  16. If one of the lines kx^(2)+xy-y^(2)=0 bisects an angle between the co-...

    Text Solution

    |

  17. Measure of angle between the lines sqrt(2)(x^(2)+y^(2))=4xy is

    Text Solution

    |

  18. If the angle between the lines 3x^(2)-4y^(2)=0 is tan^(-1)k, then k=

    Text Solution

    |

  19. Joint equation of two lines through the origin and parallel to the pai...

    Text Solution

    |

  20. If the equation x^(2)+2hxy+2fy+c=0 represents a pair of lines, then

    Text Solution

    |