Let z1 and z2, be two distinct complex numbers and let z=(1−t)z1+t z2 for some real number t with 0 < t < 1. if arg (w) denotes the principal argument of a non-zero complex number , then

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

z−z1+z−z2=z1−z2

arg⁡z−z1=arg⁡z−z2

z−z1z¯−z¯1z2−z1z¯2−z¯1=0

arg⁡z−z1=arg⁡z2−z1

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

Given z=(1−t)z1+tz2(1−t)+tClearly, z divides z, and z, in the ratio of t :(1 - t), 0

Watch 3-min video & get full concept clarity