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Consider the graph of y=x^2. Let A be a ...

Consider the graph of `y=x^2`. Let A be a point on the graph in the first quadrant. Let B be the intersection point of the tangent on `y=x^2` at the point A and the x-axis. If the area of the figure surrounded by the graph of `y=x^2` and the segment OA is `(p/q)` times as large as the area of the triangle OAB (where O is origin), then find the least value of (p+q) where `p, q in N`.

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