A line is drawn through a fixed point \[P(\alpha ,\ \beta )\] to cut the circle \[{{x}^{2}}+{{y}^{2}}={{r}^{2}}\] at A and B. Then \[PA\ .\ PB\] is equal to

\[{{(\alpha -\beta )}^{2}}+{{r}^{2}}\]

\[{{(\alpha +\beta )}^{2}}-{{r}^{2}}\]

A line is drawn through a fixed point \[P(\alpha ,\ \beta )\] to cut t

1.	A line is drawn through a fixed point \[P(\alpha ,\ \beta )\] to cut the circle \[{{x}^{2}}+{{y}^{2}}={{r}^{2}}\] at A and B. Then \[PA\ .\ PB\] is equal to
A.	\[{{(\alpha +\beta )}^{2}}-{{r}^{2}}\]
B.	\[{{(\alpha +\beta )}^{2}}-{{r}^{2}}\]
C.	\[{{(\alpha -\beta )}^{2}}+{{r}^{2}}\]
D.	None of these
Answer» C. \[{{(\alpha -\beta )}^{2}}+{{r}^{2}}\]

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A line is drawn through a fixed point \[P(\alpha ,\ \beta )\] to cut the circle \[{{x}^{2}}+{{y}^{2}}={{r}^{2}}\] at A and B. Then \[PA\ .\ PB\] is equal to

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