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Let z₁, z₂ C and satisfy the equation |z+1|^2+|z-1|^2+2|z|=6 . If maximum value of (2 |z₁-2 |+ |2 z₂+1 | ) is equal to , then find the value of 4 .

Correct answer

36

Step-by-step solution

Locus of z is x^2+y^2=1 From the figure, it is clear that maximum value of aligned 2 ( |z₁-2 |+ |z₂+ 1 2 | ) & =2 9 2 = 4 & =36 aligned

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