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If tangents `P Q` and `P R` are drawn from a point on the circle `x^2+y^2=25` to the ellipse `(x^2)/16+(y^2)/(b^2)=1,(b<4),` so that the fourth vertex `S` of parallelogram `P Q S R` lies on the circumcircle of triangle `P Q R` , then the eccentricity of the ellipse is
(a)`(sqrt(5))/4`
(b) `(sqrt(7))/4`
(c) `(sqrt(7))/2`
(d) `(sqrt(5))/3`

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