Home
Class 11
MATHS
If z is any complex number such that |3z...

If `z` is any complex number such that `|3z-2|+|3z+2|=4` , then identify the locus of `zdot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos

  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

If z be any complex number such that |3z-2|+|3z+2|=4 , then show that locus of z is a line-segment.

If z is any complex number such that |z+4|lt=3, then find the greatest value of |z+1|dot

If z is a complex number such that |z - barz| +|z + barz| = 4 then find the area bounded by the locus of z.

If |z-5i|=|z+5i| , then the locus of zdot

If z=x+iy is a complex number satisfying |z+i/2|^2=|z-i/2|^2 , then the locus of z is

If z is any complex number satisfying |z-3-2i|lt=2 then the maximum value of |2z-6+5i| is

In z is a complex number stisfying |2008z-1|= 2008|z-2|, then locus z is

If z_1,z_2,z_3 are three complex numbers such that |z_1|=|z_2|=1 , find the maximum value of |z_1-z_2|^2+|z_2-z_3|^2+|z_3+z_1|^2

If z is a complex number satisfying z^4+z^3+2z^2+z+1=0 then the set of possible values of z is

If z is a complex number satisfying z^4+z^3+2z^2+z+1=0 then the set of possible values of z is

CENGAGE ENGLISH-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 is any complex number such that |3z-2|+|3z+2|=4 , then identify t...

    Text Solution

    |

  4. If p ,q ,r are positive and are in A.P., the roots of quadratic equat...

    Text Solution

    |

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

    Text Solution

    |

  6. If |z^2-1|=|z|^2+1, then z lies on (a) The Real axis (b)The imaginary...

    Text Solution

    |

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

    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 [1/3,2] b. ...

    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

    |