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SMO 2011 Junior Round 1 Question 32

SMO · SMO 2011 Junior Round 1

Question 32

Let $A$ and $B$ be points that lie on the parabola $y=x^2$ such that both are at a distance of $8\sqrt{2}$ units from the line $y=-x-4$. Find the square of the distance between $A$ and $B$.