JEE Main 2020 — Complex Number Questions with Solutions

The value of - 1 + i 3 1 - i 30 is :

The imaginary part of 3 + 2 - 54 1 2 - 3 - 2 - 54 1 2 ,can be

If the four complex numbers z , z ¯ , z ¯ - 2 Re z ¯ and z - 2 Re z represent the vertices of a square o…

If a and b are real numbers such that 2 + α 4 = a + b α , where α = - 1 + i 3 2 , then a + b is equal to:

The region represented by { z = x + i y ∈ C : | z | - Re ( z ) ≤ 1 } is also given by the inequality

If z is a complex number satisfying R e z + I m z = 4 , then z cannot be

Let α = - 1 + i 3 2 . If a = 1 + α ∑ k = 0 100 α 2 k and b = ∑ k = 0 100 α 3 k , then a…

If R e z - 1 2 z + i = 1 , where z = x + i y , then the point x , y lies on a

The value of 1 + sin 2 π 9 + i cos 2 π 9 1 + sin 2 π 9 − i cos 2 π 9 3 is

Let u = 2 z + i z - k i , z = x + i y and k > 0 . If the curve represented by Re ( u ) + Im ( u ) = 1 intersects th…