Mathematics - Ellipse Question with Solution | TestHub

If a line through $\mathrm{P}(\mathrm{a},2)$ meets the ellipse $\frac{{\mathrm{x}}^2}{9}+\frac{{\mathrm{y}}^2}{4}=1$ at A and D and meets the axes at B and C , so that $\mathrm{PA},\mathrm{PB},\mathrm{PC},\mathrm{PD}$ are in G.P., then the minimum value of $|\mathrm{a}|$, is $\dots$.