Let
P be a point on the ellipse
+=1. Let the line passing through
P and parallel to
y-axis meet the circle
x2+y2=9 at point
Q such that
P and
Q are on the same side of the
x-axis. Then, the eccentricity of the locus of the point
R on PQ such that
PR:RQ=4:3 as
P moves on the ellipse, is :