Let a circle of radius 4 pass..... | JEE Main 2026 | Circle

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JEE MAIN 2026

24-01-2026 S1

Question

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

Select the correct option:

A

$\frac{5}{3}$

B

$\frac{7}{3}$

C

$\frac{8}{3}$

D

$\frac{11}{3}$

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