Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
are three pair wise distinct complex numbers and 
are non-negative real numbers such that 
. Prove that the complex number 
lies inside a triangle with vertices 
or on its boundary.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Affixes of a point D which divides z 2 , z 3 in the ratio t 3 : t 2 is 
(Internal division)
Affixes of a point E which divides. AD in the ratio
(t 2 + t 3 ) : t 1 is 
(Internal division)
Hence E always lies in or on the Δ ABC
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