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(abs(z-2) le 1 , z(i+1)+barz(1-i) le 2) ...

`(abs(z-2) le 1 , z(i+1)+barz(1-i) le 2) and abs(z-2i)` attains maximum value and minimum value of `z_1 & z_2` respectively. Find `abs(z_1)^2 + abs(z_2)^2`

A

`7-sqrt2`

B

`10-sqrt2`

C

`14-4sqrt2`

D

`14+sqrt2`

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