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ISI B.STAT 2016 #4

Source: ISI B.STAT 2016 #4

May 8, 2016

analytic geometrygeometrycollege contests

Problem Statement

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

.

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