# It is simple if you think about it

Geometry Level 3

If a line is drawn through a fixed point $$P(\alpha,\beta)$$ to the circle $$x^2 + y^2 = a^2$$ at $$A$$ and $$B$$, then express $$PA \times PB$$ in terms of $$\alpha,\beta$$ and/or $$\alpha$$.

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