Home
Class 11
MATHS
If the equation x^2+(lambda+mu)x y+lambd...

If the equation `x^2+(lambda+mu)x y+lambdau y^2+x+muy=0` represents two parallel straight lines, then prove that `lambda=mu`.

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

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

9x^(2) +2hxy +4y^(2) +6x +2fy - 3 = 0 represents two parallel lines. Then

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

The equation x^2-3xy+lambda y^2+3x-5y+2=0 where lambda is a real number, represents a pair of straight lines If theta is the angle between the line , then frac(cosec^2theta)(2) is

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 value of lambda so that the equation lambda x^2+2xy+lambday^2+4x+4y+3=0 represent a pair of straight lines 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 (5x-1)^2+(5y-2)^2=(lambda^2-2lambda+1)(3x+4y-1)^2 represents an ellipse, then find values of lambdadot

If the equation 4x^2-x-1=0 and 3x^2+(lambda+mu)x+lambda-mu=0 have a root common, then the irrational values of lambda and mu are a lambda=(-3)/4 b. lambda=0 c. mu=3/4 b. mu=0

CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. If the pair of lines sqrt(3)x^(2)-4xy+sqrt(3)y^(2)=0 is rotated about...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Find the equations of the lines which pass through the origin and are ...

    Text Solution

    |

  11. If (-2,6) is the image of the point (4,2) with respect to line L=0, th...

    Text Solution

    |

  12. If the lines x+(a-1)y+1=0 and 2x+a^2y-1=0 are perpendicular, then find...

    Text Solution

    |

  13. Find the eqution of the right bisector of the line segment joining the...

    Text Solution

    |

  14. Find the slope of the line perpendicular to the line joining the point...

    Text Solution

    |

  15. If the coordinates of the vertices of triangle ABC are (-1,6), (-3,-9)...

    Text Solution

    |

  16. Find the eqution of the line perpendicular to the line (x)/(b)-(y)/(b)...

    Text Solution

    |

  17. Find the area bounded by the curves x+2|y|=1 and x=0.

    Text Solution

    |

  18. Find the equaiton of the straight line passing through the intersectio...

    Text Solution

    |

  19. Find the value of lambda, if the lines 3x-4y-13=0, 8x-11y-33, and 2x-3...

    Text Solution

    |

  20. If the point P(a ,a^2) lies completely inside the triangle formed by ...

    Text Solution

    |