1961 AHSME Problems/Problem 40

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Problem 40

Find the minimum value of $\sqrt{x^2+y^2}$ if $5x+12y=60$.

$\textbf{(A)}\ \frac{60}{13} \qquad\textbf{(B)}\ \frac{13}{5} \qquad\textbf{(C)}\ \frac{13}{12} \qquad\textbf{(D)}\ 1}\qquad\textbf{(E)}\ 0 }$ (Error compiling LaTeX. Unknown error_msg) The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png