1987 USAMO Problems/Problem 4

Problem

M is the midpoint of XY. The points P and Q lie on a line through Y on opposite sides of Y, such that $|XQ| = 2|MP|$ and $\frac{|XY|}2 < |MP| < \frac{3|XY|}2$ . For what value of $\frac{|PY|}{|QY|}$ is $|PQ|$ a minimum?

Solution

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1987 USAMO (Problems • Resources)
Preceded by Problem 3	Followed by Problem 5
1 • 2 • 3 • 4 • 5
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1987 USAMO Problems/Problem 4

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