Home
Class 11
MATHS
If one of the lines given by the equatio...

If one of the lines given by the equation `2x^2+p x y+3y^2=0` coincide with one of those given by `2x^2+q x y-3y^2=0` and the other lines represented by them are perpendicular, then `p=5` (b) `p=-5` `q=-1` (d) `q=1`

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE ENGLISH|Exercise All Questions|508 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|983 Videos

Similar Questions

Explore conceptually related problems

If one of the lines given by the equation 2x^2+p x y+3y^2=0 coincide with one of those given by 2x^2+q x y-3y^2=0 and the other lines represented by them are perpendicular, then (a) p=5 (b) p=-5 (c) q=-1 (d) q=1

If one of the lines given by the equation 2x^(2)+pxy+3y^(2)=0 coincide with one of those given by 2x^(2)+qxy-3y^(2)=0 and the other lines represented by them are perpendicular , then value of p+q is

if one of the lines given by the equation ax^2+2hxy+by^2=0 coincides with one of the lines given by a'x^2+2h'xy+b'y^2=0 and the other lines representted by them be perpendicular , then . (ha'b')/(b'-a')=(h'ab)/(b-a)=1/2sqrt((-aa'bb') .

Find the value of p if the lines, whose equations are 2x - y + 5 = 0 and px + 3y = 4 are perpendicular to each other.

If the equation p x^2+(2-q)x y+3y^2-6q x+30 y+6q=0 represents a circle, then find the values of p and q .

The point P of the curve y^(2)=2x^(3) such that the tangent at P is perpendicular to the line 4x-3y +2=0 is given by

Find the equation of the line through the intersection of 5x-3y=1 and 2x-3y -23= 0 and perpendicular to the line 5x - 3y -1 =0 .

If the equation p x^2+(2-q)x y+3y^2-6q x+30 y+6q=0 represents a circle, then find the values of pa n dqdot

Find the equation of a line passing through the point of intersection of lines x-y-1=0 and 2x-3y+1=0 and perpendicular to the line x-2y+5=0 .

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. Two pairs of straight lines have the equations y^2+x y-12 x^2=0 and a ...

    Text Solution

    |

  2. If the equation of the pair of straight lines passing through the poin...

    Text Solution

    |

  3. If one of the lines given by the equation 2x^2+p x y+3y^2=0 coincide w...

    Text Solution

    |

  4. If x^2+2h x y+y^2=0 represents the equation of the straight lines thr...

    Text Solution

    |

  5. The equation to a pair of opposite sides of a parallelogram are x^2-5x...

    Text Solution

    |

  6. The equation a^2x^2+2h(a+b)x y+b^2y^2=0 and a x^2+2h x y+b y^2=0 repre...

    Text Solution

    |

  7. The equation x^3+x^2y-x y^2 =y^3 represents (a)three real straight lin...

    Text Solution

    |

  8. The image of the pair of lines represented by a x^2+2h x y+b y^2=0 by ...

    Text Solution

    |

  9. The combined equation of the lines l1a n dl2 is 2x^2+6x y+y^2=0 and ...

    Text Solution

    |

  10. If the equation a x^2-6x y+y^2=0 represents a pair of lines whose slo...

    Text Solution

    |

  11. The equation of a line which is parallel to the line common to the pai...

    Text Solution

    |

  12. If the sum of the slopes of the lines given by x^2-2c x y-7y^2=0 is fo...

    Text Solution

    |

  13. Area of the triangle formed by the line x+y=3 and the angle bisectors ...

    Text Solution

    |

  14. The equation x^2y^2-9y^2-6x^2y+54 y=0 represents (a) a pair of stra...

    Text Solution

    |

  15. The straight lines represented by (y-m x)^2=a^2(1+m^2) and (y-n x)^2=...

    Text Solution

    |

  16. If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exa...

    Text Solution

    |

  17. The condition that one of the straight lines given by the equation a x...

    Text Solution

    |

  18. If the represented by the equation 3y^2-x^2+2sqrt(3)x-3=0 are rotated...

    Text Solution

    |

  19. A point moves so that the distance between the foot of perpendiculars ...

    Text Solution

    |

  20. The angle between the pair of lines whose equation is 4x^2+10 x y+m ...

    Text Solution

    |