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Questions  

If z¯=3i+25z+3i then |z| cannot exceed

a
3
b
8
c
16
d
18

detailed solution

Correct option is B

(z¯−3i)(z+3i)=25⇒ |z−3i|2=25 or |z−3i|=5Now,           |z|=|(z−3i)+3i|≤|z−3i|+|3i|=5+3=8

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