JEE Main 2022 Mathematics question

Let S = {z = x + iy : |z − 1 + i| |z|, |z| < 2, |z + i| = |z − 1|}. Then the set of all values of x, for which w = 2x + iy S for some y R, is

Answer: (2)

Solution

|z + i| = |z − 1| gives , i.e. y = −x. |z − 1 + i| |z| gives , i.e. , and |z| < 2. A point w = 2x +

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Question ID VK-035062