Statement 1 : For the ellipse `(x^2)/5+(y^2)/3=1` , the product of the perpendiculars drawn from the foci on any tangent is 3. Statement 2 : For the ellipse `(x^2)/5+(y^2)/3=1` , the foot of the perpendiculars drawn from the foci on any tangent lies on the circle `x^2+y^2=5` which is an auxiliary circle of the ellipse.