The locus of incentre of triangle PF1F2 where P is a variable point on ellipse x2 + 2y2 = 4 with F1, F2 as foci is a conic whose
A equation of auxiliary circle is x2 + y2 = 2
B eccentricity equals 2(2−1)
C eccentricity equals 2(2+1)
D equation of auxilary circle is x2 + y2 = 4