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about to only mathematics

A

equal to 1

B

less than 1

C

greater than 3

D

equal to 3

Text Solution

Verified by Experts

The correct Answer is:
A
Given `" "|z_1|=|z_2|=|z_3|=1`
Now `" "|z_1|=1`
`rArr " " |z_1|^2=1 rArr z_1 bar z_1=1`
similarly `z_2barz_2=1,z_3 bar z_3=1`
Again Now `" "|1/z_1+1/z_2+1/z_3|=1`
`rArr |barz_1+barx_2+bar3 |=1rArr |z_1+z_2+z_3=1`
`rArr " "|z_1+z_2+z_3|=1`
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