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JEE Advanced Mathematics question

MathematicsThree Dimensional GeometryJEE Advanced

Let be a chord of the circle subtending a right angle at the centre. Then the locus of the centroid of the as moves on the circle is

Answer: (B)

Solution

Choose axes so that , (then ), and . Centroid :

α = , β = ⇒ (α - Missing argument for \frac\frac

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Question ID VK-110557