Home
Class 12
MATHS
If the equation 12x^(2)+7xy-py^(2)-18x+q...

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

A

`6q ^(2) - 19 p + 63 q + 147 =0`

B

`6q^(2) -18p + 63q + 141 =0`

C

`p = 2q`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL BASED QUESTIONS|23 Videos

  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos

  • MATHEMATICS

    FIITJEE|Exercise MCQ (MULTIPLE CORRECT)|30 Videos

  • MATHEMATICAL REASONING

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

The equation 12x^(2)+7xy-12y^(2)-18x+y+6=0 represents

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

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

If ax^(2)+6xy+3y^(2)-10x+10y-6=0 represents a pair of perpendicular lines, then |a|=

If 2x^(2)+4xy-py^(2)+4x+qy+1=0 represents a pair of mutually perpendicular lines then

The equation x^(2)+k_(1)y^(2)+k_(2)xy=0 represents a pair of perpendicular lines if

If the equation k^(2)x^(2)+10xy+3y^(2)-15x-21y+18=0 represents a pair of mutually perpendicular lines then

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 x^(2)+3xy+2y^(2)+x-y+k=0 represents a pair of line, then k=

If the equation 2x^2-2xy-y^2-6x+6y+c=0 represents a pair of lines then c=

FIITJEE-MATHEMATICS -PARAGRAPH BASED (MULTIPLE CHOICE)
  1. A circle C whose radius is 1 unit, thuches the x-axis at point A. The ...

    Text Solution

    |

  2. Pedal Triangle of a Triangle: Let Delta ABC be any triangle and let D,...

    Text Solution

    |

  3. Consider a three dimensional Cartesian system with origin at O and thr...

    Text Solution

    |

  4. Consider a three dimensional Cartesian system with origin at O and thr...

    Text Solution

    |

  5. Consider a three dimensional Cartesian system with origin at O and thr...

    Text Solution

    |

  6. For each positve real number k, let C (k) denotes the circle with cent...

    Text Solution

    |

  7. For each positve real number k, let C (k) denotes the circle with cent...

    Text Solution

    |

  8. For each positve real number k, let C (k) denotes the circle with cent...

    Text Solution

    |

  9. Consider a fixed parabola C (1) -=x ^(2) + y =0. A set of varying para...

    Text Solution

    |

  10. Consider a fixed parabola C (1) -=x ^(2) + y =0. A set of varying para...

    Text Solution

    |

  11. Any second degree equation ax ^(2) + by ^(2) + 2 hxy + 2gx + 2fy + c =...

    Text Solution

    |

  12. If the equation 12x^(2)+7xy-py^(2)-18x+qy+6=0 represents a pair of pe...

    Text Solution

    |

  13. Suppose we drfine the distance between two points P (x(1), y (1)) and ...

    Text Solution

    |

  14. Suppose we drfine the distance between two points P (x(1), y (1)) and ...

    Text Solution

    |

  15. x ^(2) +y ^(2) =a ^(2) is the standard equation of a circle centred at...

    Text Solution

    |

  16. x ^(2) +y ^(2) =a ^(2) is the standard equation of a circle centred at...

    Text Solution

    |

  17. Solving problems in co-ordinate geometry with given set of conditions ...

    Text Solution

    |

  18. Solving problems in co-ordinate geometry with given set of conditions ...

    Text Solution

    |

  19. An equatin of the family of circles passing through a given pair of po...

    Text Solution

    |

  20. An equatin of the family of circles passing through a given pair of po...

    Text Solution

    |