Categories > circle > System of circles > P, Q and R are the centres and ${{r}_{1}},\,\,{{r}_{2}},\,\,{{r}_{3}}$ are the radii respectively of three co-axial circles, then $QRr_{1}^{2}+RP\,r_{2}^{2}+PQr_{3}^{2}$ is equal to

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Question: P, Q and R are the centres and ${{r}_{1}},\,\,{{r}_{2}},\,\,{{r}_{3}}$ are the radii respectively of three co-axial circles, then $QRr_{1}^{2}+RP\,r_{2}^{2}+PQr_{3}^{2}$ is equal to


1) $PQ\ .\,QR\,.\,RP$
2) $-PQ\,.\,QR\,.\,RP$
3) $P{{Q}^{2}}.Q{{R}^{2}}.R{{P}^{2}}$
4) None of these
Solution: Explanation: No Explanation
System of circles

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