NDA || Maths || Algebra || Complex_Number || Quiz_2020

Z= (1-i)/(1+i) can also be expressed as

What is the argument of (2-3i)/(-5+i)

Given z₁=2+2√3i and z₂ = 1+i . find the argument of Arg (z₁/z₂)

What is the value of (1+w-w²)(w), where w is the cube root of unity

If roots of (k+6)x² –(4k+2)x+7k+4 = 0 are reciprocal to each other, find k.

What is the modulus of z?

What is the principal argument of z?

Evaluate (i⁵⁷ + i⁷⁰ + i⁹¹ + i¹⁰¹ + i¹⁰⁴).

What is the principal argument of (-1 –i), where

Let α and β be real numbers and z be a complex number. If z² + αz + β = 0 has two distinct non-real roots with Re(z) = 1, then it is necessary that