Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let a, b, x and y be real numbers such that a – b = 1 and y ≠ 0. If the complex number z = x + iy satisfies Im 
= y, then which of the following is(are) possible value(s) of x?
A
1 – 
B
– 1– 
C
1 + 
D
– 1 + 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b, d)
Sol. 
= 
× 
= 
+ 
⇒ 
⇒ 
= y ( a – b = 1, y ≠ 0)
⇒ (x+1) 2 + y 2 = 1
⇒ x + 1 = ± 
⇒ x = – 1 ± 
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