JEE Main Mathematics question

MathematicsComplex NumbersJEE Main

and are two points on the Argand plane such that the segment is bisected at the point . If the point , which is in the third quadrant has principal amplitude , then the principal amplitude of the point is

Answer: (D)

Solution

The origin bisects , so (the point is turned through ). is in the third quadrant, so ; then

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Question ID VK-013233