JEE Main 2024 Mathematics question

MathematicsComplex NumbersJEE Main 2024

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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Question ID VK-012372