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Let S={(x, y)|x,y in R, x^(2)+y^(2)-10x...

Let `S={(x, y)|x,y in R, x^(2)+y^(2)-10x+16=0}`. The largest value of `(y)/(x)` can be put in the form `(m)/(n)` where m, n are relatively prime natural numbers, then `m^(2)+n^(2)=`

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