Complex Numbers and Quadratic Equations: JEE Mains 2024 1st Feb Shift 1

Let α and β be the roots of the equation x^2+(2i-1)=0 . Then, the value of |α^8+β^8| is equal to :

JEE Mains 2022 June 29 Shift 1 · Easy

Let S=\z C:|z-2|1,\ z(1+i)+ z(1-i)2\ . Let |z-4i| attains minimum and maximum values, respectively, at z_1 S and z_2 S . If…

JEE Mains 2022 June 29 Shift 1 · Hard

Let α be a root of the equation 1+x^2+x^4=0 . Then the value of α^1011+α^2022-α^3033 is equal to :

JEE Mains 2022 June 29 Shift 2 · Medium

Let (z) represent the principal argument of the complex number z . Then, |z|=3 and (z-1)-(z+1)=π4 intersect :

JEE Mains 2022 June 29 Shift 2 · Hard