JEE Main 2022 Mathematics question

The area of the polygon, whose vertices are the non-real roots of the equation z̄ = is :

(1)Correct
(2)
(3)3/2
(4)3/4

Answer: (1)

Solution

Let z = x + iy. Then x − iy = = −2xy + , so x = −2xy and −y = . From x(1 + 2y) = 0: either x = 0, giving y = 0 or y = 1, or y = −1/2, giving , i.e. and $x = ±

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Question ID VK-034596