Moving points and constant area

Calculus Level 3

Two points P=(a,a2)P=(a, a^2) and Q=(b,b2)Q=(b, b^2) (a<b) (a < b) are moving along the parabola y=x2y=x^2. If the area of the region bounded by y=x2y=x^2 and the line segment PQPQ is always 3636, what is limaPQa\displaystyle \lim_{a \to \infty} \frac{\overline{PQ}}{a}?

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