Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let a, b ∈ R and a 2 + b 2 ≠ 0. Suppose S = 
, where i = 
. If z = x + iy and z ∈ S, then (x, y) lies on
A
the circle with radius 
and centre 
for a > 0, b ≠ 0
and centre for a > 0, b ≠ 0
B
the circle with radius – 
and centre 
for a < 0, b ≠ 0
and centre for a < 0, b ≠ 0
C
the x-axis for a ≠ 0, b = 0
D
the y-axis for a = 0, b ≠ 0
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, c, d)
Sol. x + iy = 
x = 
.........(1);
y = 
.........(2)
If ; a = 0, b ≠ 0, x = 0 ⇒
If ; a ≠ 0, b = 0, y = 0 ⇒
a 2 + b 2 t 2 = 
& a 2 + b 2 t 2 = 
∴ 
= 
⇒ t = 
........(3)
Putting (3) in (1)
; 
⇒ a 2 (x 2 + y 2 ) = ax
⇒ x 2 + y 2 – 
x = 0
circle with center 
;
radius = 
= 
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