Let the minimum value v_ 0 of v = |z|^ 2 + |z − 3|^ 2 + |z − 6i|^ 2 , z C is attained at z = z_ 0 . Then |2z_ 0 ^ 2 - z̄_ 0 ^ 3 + 3|^ 2 + v_ 0 ^ 2 is equal to

JEE Main 2022 Mathematics question

Let the minimum value of + |z − + |z − , z C is attained at . Then is equal to

Answer: (1)

With z = x + iy, , so the minimum is at . Then = 2(−3 + 4i)

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Question ID VK-034418