Let a circle of radius 4 pass through the origin O, the points A(… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 24 January, Shift 1Circle Equation & Properties

Let a circle of radius $4$ pass through the origin $O$ , the points $A(-\sqrt{3}a,0)$ and $B(0,-\sqrt{2}b)$ , where $a$ and $b$ are real parameters and $ab\neq0$ . Then the locus of the centroid of $\triangle OAB$ is a circle of radius

A
$\dfrac{8}{3}$
B
$\dfrac{5}{3}$
C
$\dfrac{11}{3}$
D
$\dfrac{7}{3}$

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