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

`sqrt5`

B

`sqrt5 + 1`

C

`sqrt5-1`

D

`1 - sqrt5`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos
  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise EXERCISE - I|49 Videos
  • CIRCLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|164 Videos
  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 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

AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
  1. If alpha and betaare different complex numbers with |beta| =1 , then |...

    Text Solution

    |

  2. If z(1) , z(2) are two complex numbers satisfying |(z(1) - 3z(2))/(3 -...

    Text Solution

    |

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

    Text Solution

    |

  4. The minimum value of |z-1|+ |z-5| is

    Text Solution

    |

  5. If |z + 2- i| = 5 then the maximum value of |3z- 9 - 7i| is

    Text Solution

    |

  6. The minimum value of |z - 1| + | z- 2| + |z -3| + |z - 4|+ |z - 5| i...

    Text Solution

    |

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

    Text Solution

    |

  8. If |z(1)| = |z(2)| = |z(3)| = … |z(n)| = 1 , then |z(1) + z(2) + z(3) ...

    Text Solution

    |

  9. If the equation (1 + i)^(x) = 2^(x) , has integer solution , has the o...

    Text Solution

    |

  10. If z is a complex number satisfying z^(4) + z^(3) + 2z^(2) + z + 1 = 0...

    Text Solution

    |

  11. The complex number z satisfying z^(2) + |z| = 0 is

    Text Solution

    |

  12. If z is a complex number satisfying the relation |z+1| = z + 2 (1 +i) ...

    Text Solution

    |

  13. If z(1) , z(2) are conjugate complex numbers and z(3) , z(4) are also ...

    Text Solution

    |

  14. If z(z), z(2) are two non-zero complex numbers satisfying |z(2)+z(2)|=...

    Text Solution

    |

  15. If |z(1) + z(2)| = |z(1) - z(2)| then the difference in the arguments ...

    Text Solution

    |

  16. The mod-amplitude form of (1 + 7i)/((2 - i)^(2)) is

    Text Solution

    |

  17. The mod -amplitude form of 1+itan theta is

    Text Solution

    |

  18. Let z,w be complex number such that barz+ibarw=0 and arg zw =pi . Then...

    Text Solution

    |

  19. If (a(1) + ib(1)) (a(2) + ib(2)) … (a(n) + ib(n)) = A + iB then Tan^...

    Text Solution

    |

  20. If z and omega are two non-zero complex numbers such that |zomega| =1...

    Text Solution

    |