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Consider a circle (x-alpha)^(2)+(y-beta)...

Consider a circle `(x-alpha)^(2)+(y-beta)^(2)=50` ,where `alpha,beta>0` .If the circle touches the line `y+x=0` at the point "P" ,whose distance from the origin is `4sqrt(2)` ,then `(alpha+beta)^(2)` is equal to

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