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Let S={(x,y)|x,y in R, x^2+y^2-10x+16=0}...

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 of `m/n` where m, n are relatively prime natural numbers, then `m^2+n^2=`

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