Mathematics - Ellipse Question with Solution | TestHub

$P_1,P_2\dots .,P_i,\dots .P_n$ are the points on the ellipse $\frac{x^2}{16}+\frac{y^2}{9}=1$ and $Q_1,Q_2,\dots .Q_i,\dots$. ${\mathrm{Q}}_{\mathrm{n}}$ are the corresponding points on the auxiliary circle of the ellipse. If the line joining C to ${\mathrm{Q}}_{\mathrm{i}}$ meets the normal at ${\mathrm{P}}_{\mathrm{i}}$ w.r.t. the given ellipse at ${\mathrm{K}}_{\mathrm{i}}$ and ${\sum }_{\mathrm{i}=1}^{\mathrm{n}}\left({\mathrm{CK}}_{\mathrm{i}}\right)=175$, then find the value of $\mathrm{n}/5$.