JEE Main 2024 Mathematics question

MathematicsComplex NumbersJEE Main 2024

Let z be a complex number such that the real part of is zero. Then, the maximum value of |z − (6 + 8i)| is equal to :

Answer: (A)

Solution

The real part of (z − 2i)/(z + 2i) is zero when (z − 2i)/(z + 2i) + (z̄ + 2i)/(z̄ − 2i) = 0,

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Question ID VK-016448