Let P be a point on an ellipse (equation not preserved).

Question

Let $P$ be a point on an ellipse (equation not preserved). 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:

Accepted Answer

*(The ellipse's equation was not preserved in the source. The stated answer is option D, $\sqrt{13}/7$.)*

Solutions · 1