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+\bar{z}}\right)

equals to

View answer and explanation

Correct option: B

\theta

Option B (

\theta

) is correct because using the property

|z|^2 = z \bar{z} = 1

, we can simplify the expression and find that the argument of the simplified expression is equal to

\theta

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