The circle on SS' as diameter intersects the ellipse in real points then

Let S and S' be two foci of the ellipse (x^(2))/(a^(3))+(y^(2))/(b^(2))=1. If a circle described on SS' as diameter intersects the ellipse at real and distinct points,then the eccentricity e of the ellipse satisfies c=(1)/(sqrt(2))( b) e in((1)/(sqrt(2)),1)e in(0,(1)/(sqrt(2)))(d) none of these

The tangent at a point P on an ellipse intersects the major axis at T ,a n dN is the foot of the perpendicular from P to the same axis. Show that the circle drawn on N T as diameter intersects the auxiliary circle orthogonally.

The tangent at a point P on an ellipse intersects the major axis at T ,a n dN is the foot of the perpendicular from P to the same axis. Show that the circle drawn on N T as diameter intersects the auxiliary circle orthogonally.

The tangent at a point P on an ellipse intersects the major axis at T ,a n dN is the foot of the perpendicular from P to the same axis. Show that the circle drawn on N T as diameter intersects the auxiliary circle orthogonally.

The tangent at a point P on an ellipse intersects the major axis at T, and N is the foot of the perpendicular from P to the same axis.Show that the circle drawn on NT as diameter intersects the auxiliary circle orthogonally.

The tangent at a point P on an ellipse intersects the major axis at T ,a n dN is the foot of the perpendicular from P to the same axis. Show that the circle drawn on N T as diameter intersects the auxiliary circle orthogonally.

The line y=2t^2 intersects the ellipse x^2/9+y^2/4=1 in real points if :