Home
Class 12
MATHS
If the sum of the slopes of the lines gi...

If the sum of the slopes of the lines given by `x^(2)-2cxy-7y^(2)=0` is four times their product then c has the value

A

1

B

-1

C

2

D

-2

Text Solution

Verified by Experts

The correct Answer is:
C
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 the sum of the slopes of the lines given by 4x^2+2lambdaxy-7y^2=0 is equal to the product of the slope, then lambda is equal to

The sum of the slopes of the lines represented by 4x^(2)+2hxy-7y^(2)=0 is equal to the product of the slopes then h is

If the slope of one of the lines gives by ax^(2)+2hxy+by^(2)=0 is 5 times the other, then

Find the slope of the line x -y+ =0

If the slope of one of the lines represented by ax^(2)+10xy+y^(2)=0 is four times the slope of the other then

If one of the lines given by 6 x^(2)-x y+4 c y^(2)=0 is 3 x+4 y=0, then c=

Find the slope of the line x-y+3=0

If one of the lines given by 6x^(2)-xy+4cy^(2)=0 is 3x+4y=0 then c equals

Find the slope of the line 2x+3y+1=0

Find the slope of the line x/3+y/2=1

HIMALAYA PUBLICATION-Pair Of Lines-QUESTION BANK
  1. The pair of lines represented by 3 a x^(2)+5 x y+(a^(2)-2) y^(2)=0 are...

    Text Solution

    |

  2. If the pairs of lines x^(2)-2pxy-y^(2)=0 and x^(2)-2qxy-y^(2)=0 be su...

    Text Solution

    |

  3. If the sum of the slopes of the lines given by x^(2)-2cxy-7y^(2)=0 is...

    Text Solution

    |

  4. If one of the lines given by 6 x^(2)-x y+4 c y^(2)=0 is 3 x+4 y=0, the...

    Text Solution

    |

  5. If the pair of lines ax^2 +2 (a + b) xy + by^2 =0 lie along diameters ...

    Text Solution

    |

  6. If the angle between the pair of linesx^(2)-3 x y+lambda y^(2)+3 x-5 y...

    Text Solution

    |

  7. The triangle formed by x^(2)-3 y^(2)=0 and x=4 is

    Text Solution

    |

  8. The distance between the pair of parallel lines x^(2)+4 x y+4 y^(2)+3 ...

    Text Solution

    |

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

    Text Solution

    |

  10. The equation of bisectors of the angle between the two lines 2 x^(2)-3...

    Text Solution

    |

  11. The quadrilateral formed by the pair of lines x y+x+y+1=0, x y+3 x+3 y...

    Text Solution

    |

  12. If x y+x+y+1=0 and x+q y-3=0 are concurrent then q=

    Text Solution

    |

  13. The equation x^(2)-3 x y+lambda y^(2)+3 x-5 y+2=0, whose lambda is a r...

    Text Solution

    |

  14. Circumcentre of the triangle formed by the lines xy+2x+2y+4=0 and x+...

    Text Solution

    |

  15. The distance between the parallel lines 9 x^(2)-6 x y+y^(2)+18 x-6 y+8...

    Text Solution

    |

  16. The angle between the pair of lines 2 x^(2)+5 x y+2 y^(2)+3 x+3 y+1=0 ...

    Text Solution

    |

  17. The combined equation to a pair of lines passing through the origin an...

    Text Solution

    |

  18. The pair of Lines h(x^(2)-y^(2))+p x y=0 bisects the angle between the...

    Text Solution

    |

  19. The equation of the pair of bisectors of the angles between the pair o...

    Text Solution

    |

  20. The triangle formed by the pair of lines x^(2)-4 y^(2)=0 and the line ...

    Text Solution

    |