Home
Class 11
MATHS
Find the value of lambdaif2x^2+7x y+3y^2...

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

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 value of lambda so that the equation lambda x^2+2xy+lambday^2+4x+4y+3=0 represent a pair of straight lines is

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 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

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

Prove that the equation 2x^2+5x y+3y^2+6x+7y+4=0 represents a pair of straight lines. Find the coordinates of their point of intersection and also the angle between them.

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 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

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

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 .

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

CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. Find the equation of two straigh lines whose combined equation is 6x^(...

    Text Solution

    |

  2. Does equation x^(2)+2y^(2)-2sqrt(3)x-4y+5=0 satisfies the condition ...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the distance between the pair of parallel lines x^(2)+4xy+4...

    Text Solution

    |

  5. If the pair of lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the ...

    Text Solution

    |

  6. Find the equation of two straigh lines whose combined equation is 6x^(...

    Text Solution

    |

  7. If the component lines whose combined equation is px^(2)-qxy-y^(2)=0 m...

    Text Solution

    |

  8. Find the joint equation of pair of lines which passes through origin a...

    Text Solution

    |

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

    Text Solution

    |

  10. The distance between the two lines represented by the equation 9x^2-2...

    Text Solution

    |

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

    Text Solution

    |

  12. If one of the lines of my^(2)+(1-m^(2))xy-mx^(2)=0 is a bisector of th...

    Text Solution

    |

  13. Two pairs of straight lines have the equations y^2+x y-12 x^2=0 and a ...

    Text Solution

    |

  14. If the equation of the pair of straight lines passing through the poin...

    Text Solution

    |

  15. If one of the lines given by the equation 2x^(2)+pxy+3y^(2)=0 coincide...

    Text Solution

    |

  16. If x^2+2h x y+y^2=0 represents the equation of the straight lines thro...

    Text Solution

    |

  17. The equation to a pair of opposite sides of a parallelogram are x^2-5x...

    Text Solution

    |

  18. The equation a^2x^2+2h(a+b)x y+b^2y^2=0 and a x^2+2h x y+b y^2=0 repre...

    Text Solution

    |

  19. The equation x^3+x^2y-x y^2 =y^3 represents (a)three real straight lin...

    Text Solution

    |

  20. The image of the pair of lines represented by a x^2+2h x y+b y^2=0 by ...

    Text Solution

    |