from a point P (a,b),two tangents PQ and PR are drawn to a circle x2+y2-a2=0.Find the equation of the circumcircle of triangle PQR

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$$\begin{gathered} \mathrm{We} \mathrm{have} \\ \mathrm{P}\left(\mathrm{a},\mathrm{b}\right) \\ \mathrm{Equation} \mathrm{of} \mathrm{chord} \mathrm{of} \mathrm{contact} \mathrm{QR} \mathrm{from} \mathrm{P}\left(\mathrm{a},\mathrm{b}\right) \mathrm{to} \mathrm{circle} {\mathrm{x}}^2+{\mathrm{y}}^2-{\mathrm{a}}^2=0 \mathrm{will} \mathrm{be} \\ \mathrm{T}=0 \\ \Rightarrow \mathrm{ax}+\mathrm{by}-{\mathrm{a}}^2=0 \\ \mathrm{As} \mathrm{you} \mathrm{can} \mathrm{see} \left(\mathrm{a},0\right) \mathrm{lies} \mathrm{on} \mathrm{chord} \mathrm{of} \mathrm{contact} \mathrm{as} \mathrm{well} \mathrm{as} \mathrm{circle}. \\ \mathrm{So} \mathrm{the} \mathrm{circumcircle} \mathrm{will} \mathrm{pass} \mathrm{through} \left(\mathrm{a},0\right) \mathrm{and} \left(\mathrm{a},\mathrm{b}\right) \end{gathered}$$

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