Let a circle of radius 4 pass through the origin 0 , the points A (-\sqrt{3} a, 0) and 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 OAB is a circle of radius [24 jan 2026 Shift 1]

JEE Main 24 Jan 2026 Shift 1 Paper Solved Paper

Section: Mathematics

Question : 4 of 75

Marks: +1, -0

Let a circle of radius 4 pass through the origin 0 , the points A(−√3a,0) and B(0,−√2b), where a and b are real parameters and ab≠0. Then the locus of the centroid of △OAB is a circle of radius

[24 jan 2026 Shift 1]

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