Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If 
and 
represent the complex numbers 
and 
respectively on the complex plane and the angles at 
and 
are each equal to 
, then prove that 
.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. It is given that,
So, 
is an isosceles triangle.
Considering rotation of 
about 
through angle 
, we get
.......(ii)
.......(iii)
On squaring both sides, we get
[from De-Moivre's theorem]
[from Eq. (ii)]
Therefore, 
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