1.

If `|Z-4/Z|=2` then maximum value of `|Z|` is equal toA. 2B. 3C. 4D. 5

Answer» `|z-(4)/(z)|=2`
`|z+((-4)/(z))| ge |z|-|(-4)/(z)|`
`xge|z|-(4)/(|z|)rArr|z|2ge|z|^(2)-4`
`|z|^(2)-2|z|-4 le 0 rArr |z| le (2+-sqrt(4+16))/(2)`
`|z| le 1 +- sqrt(5) rArr |z| le sqrt(5)+1`


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