The normal at a variable point `P` on the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` of eccentricity `e` meets the axes of the ellipse at `Qa n dRdot` Then the locus of the midpoint of `Q R` is a conic with eccentricity `e '` such that `e^(prime)` is independent of `e` (b) `e^(prime)=1` `e^(prime)=e` (d) `e^(prime)=1/e`