Home
Class 12
MATHS
If the equation a x^(2)+5 x y-6 y^(2)-10...

If the equation `a x^(2)+5 x y-6 y^(2)-10 x+11 y+c=0`, represents two perpendicular lines then `c=`

A

6

B

-6

C

4

D

-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

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

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

If the equation lambda x^(2)-5 x y+6 y^(2)+x-3 y=0 represents a pair of lines, then their point of intersection is

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

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

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

If the lines 2 x^(2)+7 x y+3 y^(2)-9 x-7 y+k=0 represents a pair of lines, then k=

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

The equation a x+b y+c=0 represents a plane perpendicular to the

HIMALAYA PUBLICATION-Pair Of Lines-QUESTION BANK
  1. If the pair of lines given by (x^(2)+y^(2)) sin ^(2) alpha=(x cos alph...

    Text Solution

    |

  2. If a, h, b are in A.P. then the triangular area formed by the pair of ...

    Text Solution

    |

  3. If the equation a x^(2)+5 x y-6 y^(2)-10 x+11 y+c=0, represents two pe...

    Text Solution

    |

  4. The equation of the pair of lines through the points (a, b) parallel t...

    Text Solution

    |

  5. If the equation lambda x^(2)-5 x y+6 y^(2)+x-3 y=0 represents a pair o...

    Text Solution

    |

  6. The product of the perpendiculars from (-1,2) to the pair of-lines 2 x...

    Text Solution

    |

  7. Area of the triangle formed by the lines 3 x^(2)-4 x y+y^(2)=0, quad 2...

    Text Solution

    |

  8. The orthocentre of the triangle formed by the lines x+3 y=10 and 6 x^(...

    Text Solution

    |

  9. If one of the lines of the pair a x^(2)+2 h x y+b y^(2)=0 bisects the ...

    Text Solution

    |

  10. If the slope of one line is twice the slope of the other in the pair o...

    Text Solution

    |

  11. If the pair of lines x y-x-y+1=0 and the line a x+2 y-3=0 are concurre...

    Text Solution

    |

  12. If the angle 2 theta is acute, then the acute angle between the pair o...

    Text Solution

    |

  13. If the coordinate axes are the bisectors of the angles between the pai...

    Text Solution

    |

  14. If the pair of lines given by a x^(2)+2 h x y+b y^(2)=0 (h^(2)>a b) fo...

    Text Solution

    |

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

    Text Solution

    |

  16. The product of the perpendicular distances from the origin on the pair...

    Text Solution

    |

  17. The centroid of the triangle formed by the pair of lines 12 x^(2)-20 x...

    Text Solution

    |

  18. If m is the slope of one of the lines represented by ax^(2)+2hxy+by^(2...

    Text Solution

    |

  19. The perpendicular distance between the lines 9 x^(2)-24 x y+16 y^(2)+2...

    Text Solution

    |

  20. If the line px +qy =0 coincides with one of the lines given by ...

    Text Solution

    |