Unanswered Ellipse Questions

Find the number of integral values of parameter'a'for which three chords of the ellipse x2/2a2 + y2/a2 =1(other than its diameter)passing through the point P(11a,- a2/4 )are bisected by the parabola y2=4ax. ...

A variable tangent of ellipse x^2/a^2 + y^2/b^2 =1 Meets co-ordinate axes at point A & B, then find the min. Area of circumcircle of triangle OAB??? ...