A variable circle having fixed radius ‘a’ passes through origin and meets the coordinate…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

A variable circle having fixed radius ‘a’ passes through origin and meets the coordinate axes in point A and B. Locus of centroid of triangle OAB, ‘O’ being the origin, is
  1. 9(x2 + y2) = 4a2
  2. 9(x2 + y2) = a2
  3. 9(x2 + y2) = 2a2
  4. 9(x2 + y2) = 8a2

Answer

(A) 9(x 2 + y 2 ) = 4a 2

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