Home
Class 11
MATHS
The value of lambda so that the equation...

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

A

`5/3`

B

`5/31`

C

1

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos
  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 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

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

Find the value of lambda if the equation 9x^2+4y^2+2lambdax y+4x-2y+3=0 represents a parabola.

The value of lambda with |lambda| lt 16 such that 2x^(2) - 10xy +12y^(2) +5x +lambda y - 3 = 0 represents a pair of straight lines is

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

The equation of second degree x^2 + 2sqrt2 xy + 2y^2 + 4x + 4 sqrt2 y + 1 = 0 represents a pair of straight lines, the distance between them is :

Find the value of lambda if the equation (x-1)^2+(y-2)^2=lambda(x+y+3)^2 represents a parabola. Also, find its focus, the coordinates of its vertex, the equation of its latus rectum

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

PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
  1. The line segment joining the points (1,2) and (-2, 1) is divided by th...

    Text Solution

    |

  2. If a ray travelling the line x=1 gets reflected the line x+y=1, then t...

    Text Solution

    |

  3. The value of lambda so that the equation lambda x^2+2xy+lambday^2+4x+4...

    Text Solution

    |

  4. If pairs of straight lines x^2-2pxy-y^2=0and x^2-2qxy-y^2=0 be such th...

    Text Solution

    |

  5. The equation sqrt({(x-2)^2+y^2})+sqrt({(x+2)^2+y^2})=4 represents

    Text Solution

    |

  6. If the lines represented by x^2-2pxy-y^2=0 are rotated about the origi...

    Text Solution

    |

  7. Product of the perpendiculars from (alpha, beta) to the lines ax^2+2hx...

    Text Solution

    |

  8. The gradient of one of the lines ax^2+2hxy+by^2=0 is twice that of the...

    Text Solution

    |

  9. If pairs of straight lines x^2-2pxy-y^2=0and x^2-2qxy-y^2=0 be such th...

    Text Solution

    |

  10. If one of the pair of lines ax^2+2hxy+by^2=0 bisects the angle between...

    Text Solution

    |

  11. If the quadratic equation ax^2+bx+c=0 has -2 as one of its roots, then...

    Text Solution

    |

  12. The lines 2x-y-1=0, ax+3y-3=0 and 3x+2y-2=0 are concurrent for

    Text Solution

    |

  13. Given the family of lines, a(3x+4y+6) +b(x+y+2)=0. The line of the fam...

    Text Solution

    |

  14. If 3a+2b+6c=0, the family of straight lines ax+by+c=0 passes through a...

    Text Solution

    |

  15. Consider the family of lines (x+y-1)+lambda(2x+3y-5)=0 and (3x+2y-4)+m...

    Text Solution

    |

  16. P(3,1), Q(6,5) and R(x,y) are three points such that the angle PRQ is ...

    Text Solution

    |

  17. The area of the triangle having vertices (-2,1), (2,1) and (lim(mtoinf...

    Text Solution

    |

  18. If f(x+y)=f(x)f(y),forall x,y,inR and f(1)=2, then area enclosed by 3|...

    Text Solution

    |

  19. The difference of the tangents of the angles which the lines x^2(sec^2...

    Text Solution

    |

  20. Mixed term xy is to be removed from the general equation of second deg...

    Text Solution

    |