Let z=1+i and z₁=(1+i z)/(z(1-z)+1/z). Then 12/(π) arg (z₁) is equal to _ _ _ _ _.

Complex Numbers and Quadratic Equations: JEE Main 2023 Mathematics question

JEE Main 2023 · 30 Jan, Morning shift · Q33

JEE Main 202330 Jan, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

Let

z=1+i

and

z_{1}=\frac{1+i \bar{z}}{\bar{z}(1-z)+\frac{1}{z}}

. Then

\frac{12}{\pi} \arg \left(z_{1}\right)

is equal to __________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2023 · 30 Jan, Morning shift · Q33

JEE Main 202330 Jan, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

Let

z=1+i

and

z_{1}=\frac{1+i \bar{z}}{\bar{z}(1-z)+\frac{1}{z}}

. Then

\frac{12}{\pi} \arg \left(z_{1}\right)

is equal to __________.

Your answerType your answer. Integers and decimals are accepted.