Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Find the locus of mid-point of line segment intercepted between real and imaginary axes, by the line 
, where ‘b’ is real parameter and ‘a’ is a fixed complex number such that Re(a) 
0, Im(a) 
0.
Text Solution
Verified by ExpertsThe correct answer is:
A
a = a 1 + a 2 i
equation of line (a 1 + a 2 i) (x – iy) + (a 1 – a 2 i) (x + iy) + b = 0
2a 1 x + 2a 2 y + b = 0
a 1 x + a 2 y + 
2x = – 
2y = – 
a 1 x – a 2 y = 0
x = 
y = 
az + 
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