If |z + 2i| <= 1 and z1 = 6 - 3i then th...

If `|z + 2i| <= 1` and `z_1` = 6 - 3i then the maximum value of `|iz + z_1 - 4|` is equal to

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`|z+2i|<=1`
`z+2i<=e^i`
`z<=-2i+e^(itheta)`
`|iz+zi-4|=|iz+6-3i-4|`
`=|iz+2-3i|`
`=|2+e^(i(theta+pi/2) +2-3i|`
`=|4-3i+e^(1(theta+pi/2)|`
=6
...

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