Q. Consider the circle $W = x ^2+ y ^2=81$. Let $AB$ be a diameter of circle $W$. $AB$ is extended through $A$ to $C$. Point $T$ lies on W so that line CT is tangent to W. Point P is foot of perpendicular from A to the line CT. Then the last digit of maximum value of $( BP )^2$ is -
Conic Sections
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