Home
Class 11
MATHS
The equation x^2y^2-9y^2-6x^2y+54 y=0 r...

The equation `x^2y^2-9y^2-6x^2y+54 y=0` represents (a) a pair of straight lines and a circle (b) a pair of straight lines and a parabola (c) a set of four straight lines forming a square (d) none of these

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE PUBLICATION|Exercise All Questions|507 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|986 Videos

Similar Questions

Explore conceptually related problems

The equation x^(2)y^(2)-9y^(2)-6x^(2)y+54y=0 represents

The equation x^(2) - 2xy +y^(2) +3x +2 = 0 represents (a) a parabola (b) an ellipse (c) a hyperbola (d) pair of straight line

x^2-x y+y^2-4x-4y+16=0 represents a. a point b. a circle c. a pair of straight line d. none of these

Equation x^(2) +k_(1)y^(2) +2k_(2)y = a^(2) represents a pair of perpendicular straight lines if

If x^2-3xy+lambda y^2+3x-5y+2=0 ,represent a pair of straight lines, then the value of lambda is

If k x^2 + 10 xy + 3 y^2 - 15x - 21y + 18 = 0 represents a pair of straight lines. Then the value of k is :

Find the value of lambdaif2x^2+7x y+3y^2+8x+14 y+lambda=0 represent a pair of straight lines.

If the equation 2x^(2)+2hxy +6y^(2) - 4x +5y -6 = 0 represents a pair of straight lines, then the length of intercept on the x-axis cut by the lines is equal to

The pair of straight lines x+2y-1=0,x+2y-5=0 are.

If lambdax^(2)-10xy+12y^(2)+5x-16y-3=0 , represents a pair of straight lines, then the value of lambda is

CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. If the sum of the slopes of the lines given by x^(2)-2cxy-7y^(2)=0 is...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. The straight lines represented by (y-mx)^(2)=a^(2)(1+m^(2))and(y-nx)^(...

    Text Solution

    |

  5. If the pairs of lines x^(2)+2xy+ay^(2)=0andax^(2)+2xy+y^(2)=0 have e...

    Text Solution

    |

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

    Text Solution

    |

  7. If the lines represented by the equation 3y^2-x^2+2sqrt(3)x-3=0 are ro...

    Text Solution

    |

  8. A point moves so that the distance between the foot of perpendicula...

    Text Solution

    |

  9. The angle between the pair of lines whose equation is 4x^(2)+10xy+my^...

    Text Solution

    |

  10. Find the point of intersection of the pair of straight lines represent...

    Text Solution

    |

  11. Find the angle between the lines represented by x^(2)+2xysectheta+y^(2...

    Text Solution

    |

  12. If the pair of lines sqrt(3)x^(2)-4xy+sqrt(3)y^(2)=0 is rotated about...

    Text Solution

    |

  13. If the equation 2x^(2)+kxy+2y^(2)=0 represents a pair of real and dist...

    Text Solution

    |

  14. If the equation x^2+(lambda+mu)x y+lambdau y^2+x+muy=0 represents two ...

    Text Solution

    |

  15. If one of the lines of the pair a x^2+2h x y+b y^2=0 bisects the angle...

    Text Solution

    |

  16. Prove that the equation 2x^(2)+5xy+3y^(2)+6x+7y+4=0 respresents a pai...

    Text Solution

    |

  17. A line L passing through the point (2, 1) intersects the curve 4x^2+y^...

    Text Solution

    |

  18. Show that straight lines (A^2-3B^2)x^2+8A Bx y+(B^2-3A^2)y^2=0 form wi...

    Text Solution

    |

  19. If one of the lines denoted by the line pair a x^2+2h x y+b y^2=0 bise...

    Text Solution

    |

  20. If the middle points of the sides BC, CA, and AB of triangle ABC are (...

    Text Solution

    |