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MathsJEE Main 24 Jan 2026, Shift 1·Q2·MCQ·Easy–moderate

Circles · Locus of centroid

Let a circle of radius 4 pass through the origin OO, the points A(−3 a,0)A\left(-\sqrt3\,a, 0\right) and B(0,−2 b)B\left(0, -\sqrt2\,b\right), where aa and bb are real parameters and ab≠0ab \neq 0. Then the locus of the centroid of ΔOAB\Delta OAB is a circle of radius
  1. (1)53\dfrac53
  2. (2)73\dfrac73
  3. (3)83\dfrac83
  4. (4)113\dfrac{11}{3}

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See the full 24 Jan 2026, Shift 1 paper