A, B, C are three points on a circle such that AB is the chord and CP is perpendicular to OP, where O is the centre and P is any point on AB. The radius r of the circle is given by

\[{{r}^{2}}=O{{P}^{2}}+PB\times PC\]

\[{{r}^{2}}=O{{P}^{2}}+AP\times CP\]

\[{{r}^{2}}=O{{P}^{2}}+AP\times PB\]

\[{{r}^{2}}=O{{P}^{2}}+P{{B}^{2}}\]

A, B, C are three points on a circle such that AB is the chord and CP

1.	A, B, C are three points on a circle such that AB is the chord and CP is perpendicular to OP, where O is the centre and P is any point on AB. The radius r of the circle is given by
A.	\[{{r}^{2}}=O{{P}^{2}}+AP\times CP\]
B.	\[{{r}^{2}}=O{{P}^{2}}+AP\times PB\]
C.	\[{{r}^{2}}=O{{P}^{2}}+PB\times PC\]
D.	\[{{r}^{2}}=O{{P}^{2}}+P{{B}^{2}}\]
Answer» C. \[{{r}^{2}}=O{{P}^{2}}+PB\times PC\]

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A, B, C are three points on a circle such that AB is the chord and CP is perpendicular to OP, where O is the centre and P is any point on AB. The radius r of the circle is given by

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