Complex Numbers...

If $$z=2-3i$$ then $$z^2-4z+13=$$

The complex number $$\displaystyle \frac{1+2i}{1-i}$$ lies in the quadrant :

$$\sqrt{-3}\sqrt{-75}=$$

The sum of two complex numbers $$a + ib$$ and $$c +id$$ is a real number if

The locus of complex number z such that z is purely real and real part is equal to - 2 is

$$\dfrac{1}{i-1}+\dfrac{1}{i+1}$$ is

If $$(x+iy)(2-3i)=4+i$$ then (x, y) =

The argument of every complex number is

The sum of two complex numbers $$a + ib$$ and $$c+ id$$ is purely imaginary if

For $$a > 0$$, arg $$(ia) =$$