If the least and the largest real values of a, for which the equation z + α |z – 1| + 2i = 0 (z C and i = √(- 1)) has a solution, are p and q respectively; then 4(p² + q²) is equal to _ _ _ _ _.

Complex Numbers and Quadratic Equations: JEE Main 2021 Mathematics question

JEE Main 2021 · 24 Feb, Morning shift · Q28

JEE Main 202124 Feb, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

If the least and the largest real values of a, for which the equation z +

\alpha

|z – 1| + 2i = 0 (z

\in

C and i =

\sqrt { - 1}

) has a solution, are p and q respectively; then 4(p² + q²) is equal to __________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 Complex Numbers and Quadratic Equations Question with Answer (24 Feb Morning shift, Q28) | JEE Arc