Home
Class 12
MATHS
The values of p and q for which the equa...

The values of `p` and `q` for which the equation `4 x^(2)+2 p x y+25 y^(2)+2 x+5 y+q=0` represents a pair of parallel lines is

A

`p=10, quad q in R`

B

`p=-10, quad q=-12`

C

`p=-10, quad q=12`

D

`p=10, quad q leq (1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|251 Videos
  • PARABOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|233 Videos

Similar Questions

Explore conceptually related problems

The equation 9 x^(2)+24 x y+b^2 y^(2)-12 x+16 y-12=0 represents a pair of parallel lines then b=

A value of p for which the equation x^(2)+p x y+y^(2)-5 x-7 y+6=0 represents a pair of lines is

If a x^(2)+2 h x y+b y^(2)+2 g x+2 f y+c=0 represents a parallel lines, then

The equation a x^(2)+b y^(2)+c x+c y=0, c ne 0 represents a pair of lines, if

If k x^(2)-y^(2)+2 x-y=0 represents a pair of lines, then k=

If the equation x^(2)+y^(2)+2gx+2fy+1=0 represents a pair of lines then

The equation 8x^(2)+8xy+2y^(2)+26x+13y+15=0 represents a pair of parallel st lines the distance between them is :

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

If x^(2)+k y^(2)+x-y=0 represents a pair of lines then k=

HIMALAYA PUBLICATION-Pair Of Lines-QUESTION BANK
  1. If one of the lines ax^(2)+2hxy+by^(2)=0 bisects the angle between ...

    Text Solution

    |

  2. Equation of pair of lines passing through (2,1) and perpendicular to t...

    Text Solution

    |

  3. The values of p and q for which the equation 4 x^(2)+2 p x y+25 y^(2)+...

    Text Solution

    |

  4. Area of the parallelogram formed by 2 x^(2)+5 x y+3 y^(2)=0 and 2 x^(2...

    Text Solution

    |

  5. The four lines given by y^(2)-4 y+3=0 and x^(2)+4 x y+4 y^(2)-5 y-10 y...

    Text Solution

    |

  6. The four lines given by 3 x^(2)+10 x y+3 y^(2)=0 and 3 x^(2)+10 x y+3 ...

    Text Solution

    |

  7. The four lines given by the equations 12 x^(2)+7 x y-12 y^(2)=0 and 12...

    Text Solution

    |

  8. The point of intersection of perpendicular lines a x^(2)+3 x y-2 y^(2)...

    Text Solution

    |

  9. The coordinates of the orthocentre of the triangle formed by the lines...

    Text Solution

    |

  10. The area of the triangle formed by the lines x^(2 )+4 x y+y^(2)=0, x+y...

    Text Solution

    |

  11. The condition that the slope of one the lines of a x^(2)+2 h x y+b y^...

    Text Solution

    |

  12. The acute angle between the lines x^(2)-2 x y sec alpha+y^(2)=0 is

    Text Solution

    |

  13. Condition that a pair of lines are at right angle is

    Text Solution

    |

  14. If x^(2)-k x y-y^(2)+2 y+2=0 represents a pair of lines than the valu...

    Text Solution

    |

  15. The angle between the lines x^(2)+4 x y-y^(2)=0 is

    Text Solution

    |

  16. Acute angle between the lines y^(2)-2 sqrt(3) x y+3 x^(2)=0 is

    Text Solution

    |

  17. If x^(2)+k y^(2)+x-y=0 represents a pair of lines then k=

    Text Solution

    |

  18. Angle between the lines sqrt(3)(x^(2)+y^(2))-4 x y=0 is

    Text Solution

    |

  19. Angle between the lines x^(2)+sqrt(17) x y+2 y^(2)=0 is

    Text Solution

    |

  20. If k x^(2)-y^(2)+2 x-y=0 represents a pair of lines, then k=

    Text Solution

    |