If the least and the largest real values of \alpha, for which the equation z+\alpha z-1|+2 i=0 (z \in C and i=\sqrt{-1}) has a solution, are p and q respectively, then 4(p^{2}+q^{2}) is equal to .................... . [24 Feb 2021 Shift 1]

JEE Main 24 Feb 2021 Shift 1 Solved Paper

Section: Mathematics

Question : 81 of 90

Marks: +1, -0

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

[24 Feb 2021 Shift 1]

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