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AMC12 2014b Test Paper
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Sample Question 17:

Let PP be the parabola with equation y=x2y=x^2 and let Q=(20,14)Q = (20, 14). There are real numbers rr and ss such that the line through QQ with slope mm does not intersect PP if and only if r<m<sr < m < s. What is r+sr + s?

(A) 1(B) 26(C) 40(D) 52(E) 80\textbf{(A)}\ 1\qquad\textbf{(B)}\ 26\qquad\textbf{(C)}\ 40\qquad\textbf{(D)}\ 52\qquad\textbf{(E)}\ 80




Answer Keys

Question 17: E