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If log `sqrt(3)((|z|^(2)-|z|+1)/(2+|z|))gt2`, then the locus of z isA. `|z|gt 1`B. `|z|lt5`C. `|z|gt 5`D. `|z|lt 1` |
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Answer» Correct Answer - C We have log `sqrt(3)((|z|^(2)-|z|+1)/(2+|z|))gt 2` `rArr (|z|^(2)-|z|+1)/(2+|z|)gt(sqrt(3))^(2)` `rArr|z|^(2)-4|z|-5 gt 0` `rArr (|z|+1)(|z|-5)gt0` `rArr|z|-5gt0` `rArr |z|gt 5` |
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