Published by:
CGP EDU Academic Team
Published on: August 11, 2026
Let 
be a complex number such that 
and 
. Then the value of 
is equal to
Text Solution
Verified by ExpertsThe correct answer is:
A
From 
, point 
lies on circle centered at (6, 0) with radius 5.
From 
, point lies on circle centered at ( 
) with radius 5.
Let 
.
First condition gives: 
.
Second gives: 
.
Setting equal: 
, so 
.
Substituting into 
, which simplifies to 
, giving 
and 
.
Thus 
, so 
and 
.
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