JEE Advanced Mathematics question

MathematicsComplex NumbersJEE Advanced

If represent points P, Q on the locus and the line segment PQ subtends an angle at the point then is equal to

Answer: (A),(C)

Solution

The centre C of the circle is , and , so . Since , (Q may be on either side of CP). Hence

=(±)+i(±

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Question ID VK-108134