If z1,z2,z3 are complex numbers such that |z1|=|z2|=|z3|=|1z1+1z2+1z3|=1 then |z1+z2+z3| is

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

equal to 1

less than 1

greater than 3

equal to 3

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

∵ |z1|=|z2|=|z3|=1 we get z1z¯1=z2z¯2=z3z¯3=1 ⇒ z¯1=1z1, z¯2=1z2, z¯3=1z3∴ 1=|1z1+1z2+1z3|=|z¯1+z¯2+z¯3| =|z1+z2+z3|

Watch 3-min video & get full concept clarity