If a circle of constant radius 3k passes through the origin…

Maths Circle and System of Circles Mix Single Correct MCQ

Published on: August 14, 2026

If a circle of constant radius 3k passes through the origin and meets the axes at A and B, the locus of centroid of Δ OAB is-

x 2 + y 2 = k 2

x 2 + y 2 = 2k 2

x 2 + y 2 = 3k 2

x 2 + y 2 = 4k 2

Text Solution

Verified by Experts

The correct answer is:

Let centroid is ( α , β )

α = a/3 ⇒ a = 3 α , β = b/3 ⇒ b = 3 β

radius =

3k =

⇒ 6k =

α 2 + β 2 = 4k 2

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