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JEE Main Mathematics question

MathematicsComplex NumbersJEE Main

Let be three collinear points such that and the points are represented in the Argand plane by the complex numbers and respectively, Then,

Answer: (B)

Solution

With , , : , so always holds. Collinearity with gives with real, so is real of modulus ; when and are on the same side of (the reading in

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Question ID VK-013976