JEE Main 2016 (30)

Algebra Level 5

The sum of the imaginary parts of all complex numbers , which simultaneously satisfy z12z8i=53,z4z8=1|\frac{z-12}{z-8i}|=\frac{5}{3},|\frac{z-4}{z-8}|=1 is: __________\text{\_\_\_\_\_\_\_\_\_\_} .


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