Home
Class 11
MATHS
If z=(lambda+3)+isqrt(5-lambda^2) then t...

If `z=(lambda+3)+isqrt(5-lambda^2)` then the locus of Z is

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

z^2+zabsz+absz^2=0 then the locus of z is

If abs(z+barz)=abs(z-barz) , then the locus of z is

If the slope of the line joining the points (3lambda,4) and (4,-3lambda) be -3 then the value of lambda is

If abszge3 then the least value of abs(z+i/z) is lambda/3 then the value of lambda is

Let alpha , beta be the roots of x^(2) + (3- lambda) x - lambda =0 , then the value of lambda for which alpha^(2) + beta^(2) is minimum, is-

if amp (z-1)/(z+1)=pi/3 , then the locus of z is

If w=z/[z-1/(3i)] and |w|=1, then find the locus of z

If the amplitude of (z-2 -3i) is pi/4, then the locus of z=x +iy is -

Let z_1,z_2 be two fixed complex numbers in the Argand plane and z be an arbitary point satisfying abs(z-z_1)+abs(z-z_2)=2abs(z_1-z_2) then the locus of z will be

Find the number of values of lambda for which the system of equations lambdax+y+z=1,x+lambday+z=lambda and x+y+lambdaz=lambda^2 has infinite number of solutions .

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Use the factor theorem to find the value of k for which (a+2b),w h e ...

    Text Solution

    |

  2. If z is a complex number lying in the fourth quadrant of Argand plane ...

    Text Solution

    |

  3. If z=(lambda+3)+isqrt(5-lambda^2) then the locus of Z is

    Text Solution

    |

  4. Let z be a complex number having the argument theta ,0 < theta < pi/2,...

    Text Solution

    |

  5. Given that x^2+x-6 is a factor of 2x^4+x^3-ax^2+b x+a+b-1, find the va...

    Text Solution

    |

  6. If z be any complex number such that abs(3z-2)+abs(3z+2)=4 then locus ...

    Text Solution

    |

  7. If p,q,r are three positive real number are in AP , then the roots of ...

    Text Solution

    |

  8. A(z1),B(z2),C(z3) are the vertices of the triangle A B C (in anticlock...

    Text Solution

    |

  9. If abs(z^2-1)=absz^2+1, then z lies on

    Text Solution

    |

  10. A(z1),B(z2),C(z3) are the vertices of the triangle A B C (in anticlock...

    Text Solution

    |

  11. The number of points of intersection of two curves y=2sinxa n dy=5x^2+...

    Text Solution

    |

  12. If |z|=1, then the point representing the complex number -1+3z will li...

    Text Solution

    |

  13. If one vertex of a square whose diagonals intersect at the origin is 3...

    Text Solution

    |

  14. If alphaa n dbeta are the roots of x^2+p x+q=0a n dalpha^4,beta^4 ar...

    Text Solution

    |

  15. Find the center of the are represented by a r g[(z-3i)//(z-2i+4)]=pi//...

    Text Solution

    |

  16. Let |zr-r|lt=r ,AAr=1,2,3,... ,n Then |sum(r=1)^n Zr| is less than n ...

    Text Solution

    |

  17. If a^2+b^2+c^2=1,t h e na b+b c+c a lie in the interval a.[1/3,2] ...

    Text Solution

    |

  18. z1a n dz2 are the roots of 3z^2+3z+b=0. if O(0),(z1),(z2) form an equi...

    Text Solution

    |

  19. Consider the given equation 11 z^10 + 10 i z^9 + 10 i z - 11 =0, then ...

    Text Solution

    |

  20. Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0. Then t...

    Text Solution

    |