If tangents PQ and PR are drawn from a point on the circle x2+y2=16 to the ellipse x2a2+y212=1 (a<3), so that the fourth vertex S of the parallelogram PQSR lies on the circumcircle of the triangle PQR, then the eccentricity of the ellipse is

If tangents PQ and PR are drawn from a point on the circle x2+y2=16 to

1.	If tangents PQ and PR are drawn from a point on the circle x2+y2=16 to the ellipse x2a2+y212=1 (a<3), so that the fourth vertex S of the parallelogram PQSR lies on the circumcircle of the triangle PQR, then the eccentricity of the ellipse is
Answer» If tangents $P Q$ and $P R$ are drawn from a point on the circle $x^{2} + y^{2} = 16$ to the ellipse $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{12} = 1 (a < 3)$ , so that the fourth vertex $S$ of the parallelogram $P Q S R$ lies on the circumcircle of the triangle $P Q R$ , then the eccentricity of the ellipse is