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Found problems: 876

2016 ISI Entrance Examination, 4
Tags: analytic geometry , geometry , college contests
Given a square $ABCD$ with two consecutive vertices, say $A$ and $B$ on the positive $x$-axis and positive $y$-axis respectively. Suppose the other vertice $C$ lying in the first quadrant has coordinates $(u , v)$. Then find the area of the square $ABCD$ in terms of $u$ and $v$.