1961 AHSME Problems/Problem 40

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Problem 40

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

$\textbf{(A) }\frac{60}{13}\qquad\textbf{(B) }\frac{13}{5} \qquad\textbf{(C) }\frac{13}{12}\qquad\textbf{(D) }1 \qquad\textbf{(E) }0$

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