Mathematics - Circle Question with Solution | TestHub

Let the radius of the first circle be $\mathrm{CT}={\mathrm{r}}_1$. Also, let the radius of the second circle be $\mathrm{CP}={\mathrm{r}}_2$ In the triangle $\mathrm{PCT},\mathrm{T}$ is a right angle
$\begin{array}{rl}\text{ So, }PT& =\sqrt{P{C}^2-C{T}^2}=\sqrt{r_1^2-r_2^2}\\ & =\sqrt{\left(f^2-\lambda \right)-\left(f^2-\mu \right)}=\sqrt{\mu -\lambda }\end{array}$