Complex Numbers...

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

Find $$ p \in R $$ for $$x^2 - px + p + 3 = 0 $$ has

$$arg\left( -\cfrac { 3 }{ 2 }  \right) $$ equals

Find the which of the complex number has greatest modulus.

If $$z=x+iy(x,y\epsilon R,x\neq -1/2),$$ the number of values of z satisfying $$\left | z \right |^{n}=z^{2}\left | z \right |^{n-2}+1.(n\epsilon N,n> 1)$$is

If $$z_1=3+4i\\z_2=4-5i$$ Then find $$z_1+z_2$$

 If $$z_1=\sqrt { 3 } -i,z_2=1+i\sqrt { 3 } ,$$ then amp$$(z_1+z_2)=$$ 

If $$z_1=3+4i,z_2=2-i$$ find $$z_2-z_1$$

Argument and modulus of $$\left[\dfrac {1+i}{1-i}\right]^{2013}$$ are respectively ____

The complex numbers $$z_1=8+9i, z_2=4-6i$$ then $$z_1-z_2$$

If $$z$$ is a complex number such that $$|z|=1$$, then $$\left|\dfrac 1{\bar z}\right|$$ is