1. Tardigrade
  2. Question
  3. Mathematics
  4. An ellipse E has its centre C(1,3) focus at S(6,3) and passing through the point P(4,7) then If the normal at a variable point on the ellipse (E) meets its axes in Q and R then the locus of the mid point of Q R is a conic with an eccentricity ( e prime), then -

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. An ellipse $E$ has its centre $C(1,3)$ focus at $S(6,3)$ and passing through the point $P(4,7)$ then
If the normal at a variable point on the ellipse (E) meets its axes in $Q$ and $R$ then the locus of the mid point of $Q R$ is a conic with an eccentricity $\left( e ^{\prime}\right)$, then -

Conic Sections

Solution:

Correct answer is (b) $e ^{\prime}=\frac{\sqrt{5}}{3}$