Difference between revisions of "2014 AMC 12B Problems/Problem 11"
(Created page with "== Problem == Let <math>\mathcal P</math> be the parabola with equation <math>y = x^2</math> and let <math>Q = (20, 14)</math>. There are real numbers <math>r</math> and <math>s...") |
(→Problem) |
||
Line 4: | Line 4: | ||
<cmath> \textbf{(A)}\ 1\qquad\textbf{(B)}\ 26\qquad\textbf{(C)}\ 40\qquad\textbf{(D)}}\ 52\qquad\textbf{(E)}\ 80 </cmath> | <cmath> \textbf{(A)}\ 1\qquad\textbf{(B)}\ 26\qquad\textbf{(C)}\ 40\qquad\textbf{(D)}}\ 52\qquad\textbf{(E)}\ 80 </cmath> | ||
+ | |||
+ | == Solution == |
Revision as of 19:03, 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)