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Offline Centres

A straight line of length 9 units slides with its ends A, B always on x and y axes respectively. Locus of centroid of $∆$ OAB is

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$x^{2} + y^{2} = 3$

$x^{2} + y^{2} = 9$

$x^{2} + y^{2} = 1$

$x^{2} + y^{2} = 8$

answer is B.

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Detailed Solution

letA(a,0)&B(b,0)

AB=9, point P is centroid of 0AB

$P (x, y) = (\frac{a}{b}, \frac{b}{3})$

a=3x,b=3y andwhere $a^{2} + b^{2} = 81$ eliminate a,b

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