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The equations of the sides $$AB$$, $$BC$$ and $$CA$$ of a triangle $$ABC$$ are $$2x + y = 0$$, $$x + py = 21a$$ ($$a \neq 0$$) and $$x - y = 3$$ respectively. Let $$P(2, a)$$ be the centroid of the triangle $$ABC$$, then $$(BC)^2$$ is equal to
Correct Answer: 3
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