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JEE Advanced Mathematics question

MathematicsComplex NumbersJEE Advanced

Let be two complex numbers represented by points on the circle and respectively then

Answer: (A),(B),(C)

Solution

, . - (a) , with equality when (same direction). So the maximum is 4 ✓. - (b) , with equality when are collinear with on the same ray (e.g. ). So the

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Question ID VK-108130