If
and
are two complex numbers such that
, then which one of the following is not true?
Text Solution
Verified by ExpertsD
Given the equation:


Using the complex modulus property
:





The factored equation tells us that either
OR 
Option claims that both must be equal to 1 simultaneously, which is not mandatory.
Option claims
must lie on the unit circle
, which is false if
.
Option claims
must lie on the unit circle
, which is false if
.
Since none of the individual statements (
, or c ) are guaranteed to be true, all of them are considered "not true" as standalone requirements.
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