2014 AMC 12B Problems/Problem 11
Problem
Let be the parabola with equation
and let
. There are real numbers
and
such that the line through
with slope
does not intersect
if and only if
. What is
?
\[\textbf{(A)}\ 1\qquad\textbf{(B)}\ 26\qquad\textbf{(C)}\ 40\qquad\textbf{(D)}}\ 52\qquad\textbf{(E)}\ 80\] (Error compiling LaTeX. Unknown error_msg)