Let $P(h, k)$ with $h \gt 0, k \gt 0$ be a point on the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$, (where $a \gt b \gt 0$ ), whose foci are $F_1$ and $F_2$. The normal at $P$ intersects the major axis at $Q$. If $P F_1: P F_2=2: 1$ then $Q F_1: Q F_2$ equals

• A

  $3: 2$
• B

  $1: 2$
• Correct answer
  C

  $2: 1$
• D

  $1: 1$

Hence, the correct answer is option: 'C'.