1.

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`

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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