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If |z-1|lt=2a n d|omegaz-1-omega^2|=a (...

If `|z-1|lt=2a n d|omegaz-1-omega^2|=a` `(w h e r eomegai sac u b erootofu n i t y)` , then complete set of values of `a` is `0lt=alt=2` b. `1/2lt=alt=(sqrt(3))/2` c. `(sqrt(3))/2-1/2lt=alt=1/2+(sqrt(3))/2` d. `0lt=alt=4`

A

`0 le ale 2`

B

`(1)/(2) le a le (sqrt(3))/(2)`

C

`(sqrt(3))/(2)-(1)/(2)lea le (1)/(2) +(sqrt(3))/(2)`

D

`0le ale 4`

Text Solution

Verified by Experts

The correct Answer is:
D
`|omegaz-1-omega^(2)|=a`
`rArr |z+1|=arArr|z-1+2|=a`
`rArr |z-1|+2ge arArr 0 le a le 4`
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