Home
Class 12
MATHS
If |z-4/z|=2 , then the maximum value |z...

If `|z-4/z|=2` , then the maximum value |z| is equal to

A

`sqrt(5)+1`

B

2

C

`2+sqrt(2)`

D

`sqrt(3)+1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 1)|6 Videos
  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 2)|6 Videos
  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos
  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Set 4|4 Videos
  • COORDINATE SYSTEM (2D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|12 Videos

Similar Questions

Explore conceptually related problems

If |z-2/z|=2 then the greatest value of |z| is

If |z+ 4| le 3 then the maximum value of |z + 1|

If |z - (2)/(z)| = 1 then find the maximum value of |z|.

If |z + 2i| le 1 and z_(1) = 6-3i then the maximum value of |iz + z_(1) - 4| is ____

If |(z+4i)/(z-2)|=2 then the locus of z is

DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. If log tan30^@((2|z|^2+2|z|-3)/(|z|+1))lt-2 , then

    Text Solution

    |

  2. |z-4|lt|z-2| represents the region given by

    Text Solution

    |

  3. If |z-4/z|=2 , then the maximum value |z| is equal to

    Text Solution

    |

  4. If z is a complex number such that |z|ge2 ,then the minimum value of |...

    Text Solution

    |

  5. The number of complex number z such |z-1|=|z+1|=|z-i| equals

    Text Solution

    |

  6. The number of solutions for z^3+barz=0 is

    Text Solution

    |

  7. The triangle formed by the points 1, (1+i)/(sqrt(2)) and i as vertice ...

    Text Solution

    |

  8. If z1=1+2i,z2=2+3i,z3=3+4i, " then " z1,z2and z3 represents the vertic...

    Text Solution

    |

  9. In the Argrand plane, the points represented by the complex numbers 1+...

    Text Solution

    |

  10. In the Argrand plane, the points represented by the complex numbers 2-...

    Text Solution

    |

  11. Are of the triangle formed by the three complex numbers, 1+i,1-i,2i in...

    Text Solution

    |

  12. Area of the triangle formed by the Argrand diagram formed by the compl...

    Text Solution

    |

  13. If |z|=3 , then area of the triangle whose sides are z , omegaz and z ...

    Text Solution

    |

  14. If the area of the triangle on the complex plane formed the points z ,...

    Text Solution

    |

  15. If a and b are real number between 0 and 1 such that the points z1=a+I...

    Text Solution

    |

  16. Let z(1) , z(2) be two roots of the equation z^(2) + az + b = 0 , z be...

    Text Solution

    |

  17. If z1,z2,z3 are the vertices of a triangle then its centroid is

    Text Solution

    |

  18. Let the complex number z1,z2,z3 be the vertices of an equilateral tria...

    Text Solution

    |

  19. ABC is an isosceles triangle and B=90 . If B and the midpoint P of AC...

    Text Solution

    |

  20. If three complex number are in A.P then they lie on

    Text Solution

    |