Let P,Q,R be the points on the auxiliary circle of ellipse x2a2+y2b2=1(a>b) , such that PQR is an equilateral triangle and P′Q′R′ is corresponding triangle inscribed within the ellipse. Then centroid of the triangle P′Q′R′ lies at
between focus and centre of the ellipse
between one extremity of minor axis and centre of the ellipse
The correct option is A centre of the ellipse
Let points on equilateral triangle be triangleP(θ),Q(θ+2π3),R(θ+4π3)
Let centroid of △P′Q′R′≡(x′,y′)
Hence centroid is (0,0), which is the centre of the ellipse.