Difference between revisions of "2014 AMC 12B Problems/Problem 11"
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| + | The line through <math>Q</math> only meets the parabola if the system of equations <math>y = x^2</math> and $y - | ||
Revision as of 19:07, 20 February 2014
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)
Solution
The line through only meets the parabola if the system of equations and $y -
