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Equation of Tangent in Slope Form

A line is dra...

Question

A line is drawn from the point $P (6, 8)$ which intersects the circle $x^{2} + y^{2} = 64$ at $A$ and $B$ , then the value of $P A \cdot P B$ is

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Solution

We know that $P A \cdot P B = L^{2} = S_{1}$
$∴ P A \cdot P B = 6^{2} + 8^{2} - 64 = 36$

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