JEE Main 2022 Mathematics question

If z = x + iy satisfies |z| − 2 = 0 and |z − i| − |z + 5i| = 0, then

Answer: (3)

Solution

|z − i| = |z + 5i| means z lies on the perpendicular bisector of (0, 1) and (0, −5), i.e. the

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Question ID VK-025075