JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

z

is a complex number of unit modulus and argument

\theta ,

then

\arg \left( {\frac{{1 + z}}{{1 + \overline z }}} \right)

is equal to

View answer and explanation

Correct option: C

\theta

Option C (

\theta

) is correct because using the properties of complex numbers and their arguments,

\arg \left( {\frac{{1 + z}}{{1 + \overline z }}} \right)

simplifies to

\theta

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