Home
Class 11
MATHS
If z be any complex number such that abs...

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

If z_1 and z_2 be two complex numbers such that abs(z_1+z_2)=abs(z_1) +abs(z_2) then the value of argz_1-argz_2 is equal to

If z(Re z ne2) be a complex number such that z^2-4z=absz^2+16/absz^3 then the value of absz^4 is

If z is a complex number such that abszge2 then the minimum value of abs(z+1/2)

A point P which represents a complex number z, moves such that |z-z_(1)|= |z-z_(2)|, then the locus of P is-

If z_1 and z_2 are non zero complex numbers such that abs(z_1-z_2)=absz_1+absz_2 then

If z_1=a+ib and z_2=c+id are complex numbers such that abs(z_1)=abs(z_2)=1 and Re(z_1barz_2)=0 , then the pair of complex numbers omega_1=a+ic and omega_2=b+id satisfies:

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

If abs(z-2-i)=abszabssin(pi/4-argz) then locus of z is

If z_1 and z_2 be two complex numbers such that abs((z_1-2z_2)/(2-z_1barz_2))=1 and abs(z_2) ne1 , what is the value of abs(z_1) ?

if z is any complex number satisfying abs(z-3-2i)le2 then the minimum value of abs(2z-6+5i) is

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Let z be a complex number having the argument theta ,0 < theta < pi/2,...

    Text Solution

    |

  2. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If 8iz^3+12z^2-18z+27i=0, then (a). |z|=3/2 (b). |z|=2/3 (c). |z|...

    Text Solution

    |

  19. Let z1, z2a n dz3 represent the vertices A ,B ,a n dC of the triangl...

    Text Solution

    |

  20. Let a, b, c be real numbers, a != 0. If alpha is a zero of a^2 x^2+bx...

    Text Solution

    |