Mathematics Question from JEE Main 2024 · 1 February, Shift 2

Let P be a point on the ellipse $\frac{x^2}{9} + \frac{y^2}{4} = 1$. Let the line passing through P and parallel to the $y$-axis meet the circle $x^2 + y^2 = 9$ 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: