Mathematics - Circle Question with Solution | TestHub

The given circles are concentric with centre at (0,0) and the length of the perpendicular from (0,0) on the given line is $\mathrm{p}$. Let $\mathrm{OL}=\mathrm{p}$ then, $\mathrm{AL}=\sqrt{{\mathrm{OA}}^2-{\mathrm{OL}}^2}=\sqrt{{\mathrm{a}}^2-{\mathrm{p}}^2}$ and $\mathrm{PL}=\sqrt{{\mathrm{OP}}^2-{\mathrm{OL}}^2}=\sqrt{{\mathrm{b}}^2-{\mathrm{p}}^2}$ $\Rightarrow \mathrm{AP}=\sqrt{{\mathrm{a}}^2-{\mathrm{p}}^2}-\sqrt{{\mathrm{b}}^2-{\mathrm{p}}^2}$