Let a tangent at a point P to the ellipse `x^2/a^2+y^2/b^2=1` meets directrix at Q and S be the correspondsfocus then `/_PSQ`

The point of intersection of the tangents at the point P on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and its corresponding point Q on the auxiliary circle meet on the line (a) x=a/e (b) x=0 (c) y=0 (d) none of these

The point of intersection of the tangents at the point P on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and its corresponding point Q on the auxiliary circle meet on the line (a) x=a/e (b) x=0 (c) y=0 (d) none of these

The point of intersection of the tangents at the point P on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and its corresponding point Q on the auxiliary circle meet on the line (a) x=a/e (b) x=0 (c) y=0 (d) none of these

The point of intersection of the tangents at the point P on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and its corresponding point Q on the auxiliary circle meet on the line (a) x=(a)/(e) (b) x=0 (c) y=0 (d) none of these

If the normal at any point P on ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) =1 meets the auxiliary circle at Q and R such that /_QOR = 90^(@) where O is centre of ellipse, then

If a tangent to the ellipse x^2/a^2+y^2/b^2=1 , whose centre is C, meets the major and the minor axes at P and Q respectively then a^2/(CP^2)+b^2/(CQ^2) is equal to

tangent drawn to the ellipse x^2/a^2+y^2/b^2=1 at point 'P' meets the coordinate axes at points A and B respectively.Locus of mid-point of segment AB is