Home
Class 12
MATHS
if the equation 12x^2+7xy-py^2-18x+qy+6=...

if the equation `12x^2+7xy-py^2-18x+qy+6=0` represents two perpendicular lines , then the value of p and q are

A

`(12,1)`

B

`(1,12)`

C

`(-1,12)`

D

`(-12,1)`

Text Solution

Verified by Experts

The correct Answer is:
A
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 12x^(2)+7xy-12y^(2)-18x+y+6=0 represents

The equation 12x^(2)+7xy+ay^(2)+13x-y+3=0 represents a pair of perpendicular lines. Then, the value of a is

If the equation 12x^(2)+7xy-py^(2)-18x+qy+6=0 represents a pair of perpendicular straight lines, then

The equation 2x^(2)-3xy-py^(2)+x+qy-1=0 represent two mutually perpendicular lines if

If the equation px^(2)-8xy+3y^(2)+14x+2y+q=0 represents a pair of perpendicular lines, then

The equation 3ax^2+9xy+(a^2-2)y^2=0 represents two perpendicular straight lines for

If the equation 3x^(2)+xy-y^(2)-3x+6y+k=0 represents a pair of straight lines, then the value of k, is

If 12x^(2)+7xy+by^(2)+gx+7y-1=0 represents a pair of perpendicular lines then

MARVEL PUBLICATION-PAIR OF STRAIGHT LINES-TEST YOUR GRASP
  1. if the equation 12x^2+7xy-py^2-18x+qy+6=0 represents two perpendicula...

    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

    |