NDA || Mathematics || Algebra || Complex Number || Quiz

Evaluate

If , then what is the imaginary part of z equal to?

Write the principal argument of (1+i)²

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

The common roots of the equations
z³ + 2z² + 2z + 1 = 0 and z²⁰¹⁷ + z²⁰¹⁸ + 1 = 0 are

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

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

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