Published by:
CGP EDU Academic Team
Published on: August 14, 2026
For a non-zero complex number 
, let arg 
denote the principal argument of 
with 
. Then, which of the following statement(s)is (are) true? [JEE (Adv) 2018]
A
, where 
. B
The function 
, defined by 
for all 
, is continuous at all points of 
, where 
.
, defined by for all , is continuous at all points of , where . C
For any two non-zero complex numbers 
and 
, 
is an integral multiple of 
.
and , is an integral multiple of . D
For any three given distinct complex numbers 
and 
, the locus of the point 
satisfying the condition 
, lie on a straight line.
and , the locus of the point satisfying the condition , lie on a straight line.
Text Solution
Verified by ExpertsThe correct answer is:
C
. So, statement is not true.
We have,
Clearly, it is discontinuous at 
.So, statement is not true. We know that
So, statement in option is correct.
Locus of 
is the circle passing through 
and 
.
So, the statement in option is not true.
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