Locate the locus!

Geometry Level pending

Let A(a,0) be a point on the circle x 2 + y 2 = a 2 x^2+y^2=a^2 .Through another point B(0,b),chords are drawn to meet the circle at points Q and R.The sum of coefficients of the locus of centroid of triangle AQR is?(decimals upto 3 places)


The answer is 0.778.

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