Home
Class 11
MATHS
Find the minimum value of |z-1 if ||z-3|...

Find the minimum value of `|z-1` if `||z-3|-|z+1||=2.`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

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

The minimum value of |2z-1|+|3z-2| is

Knowledge Check

  • If z is a complex number, then the minimum value of |z|+|z-1| is

    A
    1
    B
    0
    C
    ` (1)/(2)`
    D
    None of these
  • If z is a complex number, then the minimum value of |z|+|z-1| is -

    A
    1
    B
    0
    C
    `1//2`
    D
    None of these
  • Similar Questions

    Explore conceptually related problems

    The minimum value of |2z-1|+|3z-2| is

    The minimum value of |Z-1+2i|+|4i-3-z| is

    If z is a complex number,then find the minimum value of |z|+|z-1|+|2z-3|

    For any complex number z, the minimum value of |z|+|z-1|

    If z is a complex number, then minimum value of (i) | z| + | z - 1| + | 2 z - 3| and (ii) | z + 1| + | z - 1| is

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