Let z₁ and z₂ be two complex numbers such that arg (z₁ - z₂) = (π)/4 and z₁, z₂ satisfy the equation | z - 3 | = Re(z). Then the imaginary part of z₁ + z₂ is equal to _ _ _ _ _ _.

Complex Numbers and Quadratic Equations: JEE Main 2021 Mathematics question

JEE Main 2021 · 27 Aug, Evening shift · Q31

JEE Main 202127 Aug, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

Let z₁ and z₂ be two complex numbers such that

\arg ({z_1} - {z_2}) = {\pi \over 4}

and z₁, z₂ satisfy the equation | z

-

3 | = Re(z). Then the imaginary part of z₁ + z₂ is equal to ___________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 Complex Numbers and Quadratic Equations Question with Answer (27 Aug Evening shift, Q31) | JEE Arc

JEE Main 2021 · 27 Aug, Evening shift · Q31

JEE Main 202127 Aug, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

Let z₁ and z₂ be two complex numbers such that

\arg ({z_1} - {z_2}) = {\pi \over 4}

and z₁, z₂ satisfy the equation | z

-

3 | = Re(z). Then the imaginary part of z₁ + z₂ is equal to ___________.

Your answerType your answer. Integers and decimals are accepted.