Home
Class 12
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

  • DETERMINANT

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer|5 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 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-DETERMINANTS-All Questions
  1. If lines p x+q y+r=0,q x+r y+p=0 and r x+p y+q=0 are concurrent, the...

    Text Solution

    |

  2. If plambda^4+qlambda^3+rlambda^2+slambda+t=|[lambda^2+3lambda, lambda-...

    Text Solution

    |

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

    Text Solution

    |

  4. If x ,y ,z are different from zero and "Delta"=|[a, b-y ,c-z],[ a-x, b...

    Text Solution

    |

  5. If A , B ,C are angles of a triangle, then the value of |[e^(2i A),e^(...

    Text Solution

    |

  6. If a^2+b^2+c^2=1, then prove that |[a^2 +(b^2+c^2)cosθ, ab(1−cosθ), ...

    Text Solution

    |

  7. For the equation |[1,x,x^2],[x^2, 1,x],[x,x^2, 1]|=0, a) There are ex...

    Text Solution

    |

  8. Let Deltar=|[r-1,n,6],[(r-1)^2,2n^2,4n-2],[(r-1)^3,3n^3,3n^2-3n]|. Sho...

    Text Solution

    |

  9. Let m be a positive integer and Deltar=|[2r-1,.^mCr,1],[m^2-1,2^m,m+1]...

    Text Solution

    |

  10. a^(−1)+b^(−1)+c^(−1)=0 such that |[1+a,1,1,],[1,1+b,1,],[1,1,1+c,]| =△...

    Text Solution

    |

  11. Find the area of a triangle whose vertices are A(3,2),B(11 ,8) and C(8...

    Text Solution

    |

  12. If Dk=|[1, n, n];[ 2k, n^2+n+1, n^2+n];[ 2k-1, n^2, n^2+n+1]|a n...

    Text Solution

    |

  13. If p+-a, q+- b, r+-c and abs((p,b,c),(a,q,c),(a,b,r)) = 0 show that p...

    Text Solution

    |

  14. If x1, x2 , x3 and y1 , y2 , y3 are both in G.P. with the same common ...

    Text Solution

    |

  15. If the lines a1x+b1y+1=0,a2x+b2y+1=0 and a3x+b3y+1=0 are concurrent,...

    Text Solution

    |

  16. For a fixed positive integer n , if Delta=|[n !,(n+1)!,(n+2)!],[(n+1)!...

    Text Solution

    |

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

    Text Solution

    |

  18. if f(alpha,beta)=|[cos alpha,-sin alpha,1],[sin alpha,cos alpha,1],[co...

    Text Solution

    |

  19. If the lines ax+y+1=0, x+by+1=0, x+y+c=0, (a, b, c are distinct and no...

    Text Solution

    |

  20. If (1+x+x^(2))^(25)=a(0)+a(1)x+a(2)x^(2)+...+a(50).x^(50), then a(0)+a...

    Text Solution

    |