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Largest y/x

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October 24, 2005
calculusquadraticstrigonometryanalytic geometrygraphing linesslopealgebra

Problem Statement

Find the largest value for yx\frac{y}{x} for pairs of real numbers (x,y)(x,y) which satisfy (x−3)2+(y−3)2=6.(x-3)^2 + (y-3)^2 = 6.
<spanclass=′latex−bold′>(A)</span>3+22<spanclass=′latex−bold′>(B)</span>2+3<spanclass=′latex−bold′>(C)</span>33<spanclass=′latex−bold′>(D)</span>6<spanclass=′latex−bold′>(E)</span>6+23<span class='latex-bold'>(A) </span>3 + 2 \sqrt 2\qquad <span class='latex-bold'>(B) </span> 2 + \sqrt 3\qquad <span class='latex-bold'>(C ) </span>3 \sqrt 3\qquad <span class='latex-bold'>(D) </span>6\qquad <span class='latex-bold'>(E) </span>6 + 2 \sqrt 3
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