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Sample Question 17:
Let \(P\) be the parabola with equation \(y=x^2\) and let \(Q = (20, 14)\). There are real numbers \(r\) and \(s\) such that the line through \(Q\) with slope \(m\) does not intersect \(P\) if and only if \(r < m < s\). What is \(r + s\)?
\(\textbf{(A)}\ 1\qquad\textbf{(B)}\ 26\qquad\textbf{(C)}\ 40\qquad\textbf{(D)}\ 52\qquad\textbf{(E)}\ 80\)