Let S be the set of all (\alpha, \beta), \pi

JEE Mains 27-July-2022 Shift 2 Solved Paper

Section: Mathematics

Question : 2 of 90

Marks: +1, -0

Let S be the set of all (α,β),π<α,β<2π, for which the complex number ‌

1−i‌sin‌α

1+2i‌sin‌α

is purely imaginary and ‌

1+i‌cos‌β

1−2i‌cos‌β

is purely real. Let Zαβ=sin‌2‌α+i‌cos‌2‌β,(α,β)∈S. Then

∑

(α,β)∈S

(iZαβ+‌

iZαβ

) is equal to :

[27-Jul-2022-Shift-2]

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