# Enjoying conics with integration!

Calculus Level 4

Let $$P$$ be a point (other than the origin) lying on the parabola $$y=x^2$$ such that the normal line to the parabola at $$P$$ will intersect the parabola at another point $$Q$$.

What is the minimum possible value for the area bounded by the line $$PQ$$ and the parabola?

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