Complex Numbers...

Let x, y ∈ R,then x + iy is a non real complex number if

Let x, y ∈ R, then x + iy is a purely imaginary number if

The roots of the equation $${ \left( z+\alpha \beta  \right)  }^{ 3 }={ \alpha  }^{ 3 }$$ represent the vertices of a triangle, one of whose sides is of length

For a quadratic equation if $$D < 0$$ then which of the following is true?

Identify the condition for Imaginary Roots:

If the value of '$$b^2-4ac$$' is greater than zero, the quadratic equation $$ax^2+bx+c=0$$ will have

If $$a, b, c$$ are real and $$b^2- 4ac $$ is perfect square then the roots of the equation $$ax^2+bx+c=0$$, will be:

If the value of '$$b^2-4ac$$' is less than zero, the quadratic equation $$ax^2+bx+c=0$$ will have

When will the quadratic equation $$ax^2+bx+c=0$$ NOT have Real Roots?

If $$(1+i)^{-20}=a+ib$$, then the values of $$a$$ and $$b$$ are

The number of solution of $$z^2 + \bar{z} = 0$$ is

 For any complex number $$z$$ the minimum value of $$|z|+|z-2013i|$$ is...