If z lies on the locus |(z+2)/(z+i)|=2 a...

If z lies on the locus `|(z+2)/(z+i)|=2` and by transformation `w rarr z+((4)/(3)+sqrt((20)/(9))i)`(say) a new locus is formed,then the greatest value of |w| is `(2)/(3)(sqrt(m)+sqrt(n))`; then evaluate `|m-n|`

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