Home
Class 12
MATHS
If the equation hxy+gx+fy+c=0(h!=0), r...

If the equation
`hxy+gx+fy+c=0(h!=0)`, represents a pair of straight lines, then

A

`fc=gh`

B

`"f h"=cg`

C

`"f h"=c^(2)g^(2)`

D

`fg=ch`.

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER 3

    KCET PREVIOUS YEAR PAPERS|Exercise (MATHEMATICS)|60 Videos

  • MODEL TEST PAPER 5

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos

Similar Questions

Explore conceptually related problems

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

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

The equation ax + by + c =0 represents a straight line

If 4 x y+2 x+2 f y+3=0 represents a pair of lines, then f=

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

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

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

KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 4-Mathematics
  1. Value of [2(Cos15^(@)+isin15^(@))]^(6), is equal to

    Text Solution

    |

  2. The solution set of sin^(2)theta=costheta+(1)/(4), in the interval 0le...

    Text Solution

    |

  3. If the equation hxy+gx+fy+c=0(h!=0), represents a pair of straight l...

    Text Solution

    |

  4. The orthocentre of the triangle whose sides are given by equations x=1...

    Text Solution

    |

  5. The points (1,3) and(5,1) are the opposite vertices of a rectangle. Th...

    Text Solution

    |

  6. If angle C of the triangle ABC is right angle and the coordinates of A...

    Text Solution

    |

  7. The number of common tangents to the circles x^(2)+y^(2)-x=0 and x^(2)...

    Text Solution

    |

  8. The length of the major axis of the ellipse 2x^(2)+y^(2)-8x-2y+1=0 i...

    Text Solution

    |

  9. The focus of the parabola 2y=x^(2)+2x+2 is

    Text Solution

    |

  10. The locus of the point (2-sectheta,1+2tantheta)theta being the paramet...

    Text Solution

    |

  11. The number of normals that can be drawn from an external point to the...

    Text Solution

    |

  12. If f(x)=(x-2)/(x+2),x!= -2 then f^(-1)(x), is equal to

    Text Solution

    |

  13. f(xy)=f(x)+f(y) is true for all

    Text Solution

    |

  14. lim(xto0)(e^(x^(2))-cosx)/(x^(2)), is equal to

    Text Solution

    |

  15. If lim(xto0)phi(x)=a^(2),a!=0, then lim(xto0)phi(x//a) is equal to

    Text Solution

    |

  16. To make f(x)=(x+1)^(cotx) continuous at x=0,f(0) must defined as

    Text Solution

    |

  17. If y=log(10)x+log(x)10+log(x)x+log(10)10, then ((dy)/(dx))(x=10) is eq...

    Text Solution

    |

  18. The minium distance from the point (4,2) to the curve y^(2)=8x, is equ...

    Text Solution

    |

  19. If y=x^(x^(x^(x^(x^(oo))))), then x(dy)/(dx) is equal to

    Text Solution

    |

  20. The derivative of sec^(-1)[(1)/(2x^(2)-1)] with respect to sqrt(1-x^(2...

    Text Solution

    |