Complex Numbers...

If $$a,b \in R$$ then the equation $$x^2-abx-a^2=0$$ has 

If $$b$$ and $$c$$ are odd integers, then the equation $$x^2+bx+c=0$$ has:

If $$b$$ and $$c$$ are odd integers, then the equation $$x^2+bx+c=0$$ has 

If Arg $$(z + i)\, -$$ Arg $$(z - i)$$ $$= \dfrac{\pi}{2}$$, then $$z$$ lies on a ..........

Let $$a,b,c \in R$$ such that $$4a+2b+c=0$$ and $$ab>0$$.
Then the equation $$ax^2+bx+c=0$$ has

If the equation $$x^3 - 3ax^2 + 3bx-  c = 0$$ has positive and distinct roots, then

The number of real roots of the equation $$|x| ^2-3|x|+2=0$$ is

If $$c > 0 $$ and $$b > c$$ then $$x ^2+bx-c=0$$ will have:

Let $$a > 0, b > 0,c >0 $$ then both roots of the equation $$ ax^2 + bx + c = 0$$

If $$arg(z) < 0$$, then $$arg(-z)-arg(z)=$$