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CAT 2004 | Question: 46

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x+y=xy

or, x+y-xy=0

Subtracting 1 on both sides, x+y-xy-1 = -1

or, x(1-y)-1(1-y) = -1

or, (x-1)(1-y) = -1

So, total integer pairs are (2,2) and (0,0)
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