JEE Main 2022 Mathematics question

If be a complex number such that |z − 1/z| = 2, then the maximum value of |z| is:

Answer: (4)

Solution

Let |z| = r. By the triangle inequality, ||z| − 1/|z|| |z − 1/z| |z| + 1/|z|, so |r − 1/r| + 1/r. From r − 1/r

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Question ID VK-035046