Let z and w be two complex numbers such that w=z z -2z+2, | z+i z-3i |=1 and Re(w) has minimum value. Then,...

Question

Let z and w be two complex numbers such that w=z z -2z+2, | z+i z-3i |=1 and Re(w) has minimum value. Then, the minimum value of n N for which w^n is real, is equal to ______ .

Accepted Answer

4

JEE Main 2021 Mathematics question

Solution