JEE Main 2024 Mathematics question
Let z be a complex number such that |z + 2| = 1 and Im = . Then the value of |Re()| is:
Answer: (D)
Solution
Let w = z + 2 = u + iv with |w| = 1. Then (z + 1)/(z + 2) = 1 − 1/w = 1
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