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