Complex Numbers...

If $$2,2$$ are the roots of $$x^2+px+b=0$$ and $$1,4$$ are the roots of $$x^2+ax+q=0$$, then roots of the equation $$x^2+ax+b=0$$ are

If $$z = \dfrac {(\sqrt {3} + i)^{3} (3i + 4)^{2}}{(8 + 6i)^{2}}$$, then $$|z|$$ is equal to

The value of $$(a+2i)(b-i)$$ is

If $$l,m$$ are real and $$l\neq m$$, the roots of the equation $$(l-m)x^2-5(l+m)x-2(l-m)=0$$ are-

If $$a<c<b$$ then the roots of the equation $$(a-b) ^2x^2+2(a+b-2c)x+1=0$$ are-

Total number of integral values of $$a$$ such that $$x^2+ax+a+1=0$$ has integral roots is

If $$a < c < b$$ then the roots of the equation $$(a-b)x^2+2(a+b-2c)x+1=0$$ are:

The roots of the equation $$(b+c)x^2-(a+b+c)x+a=0$$ $$(a,b,c\ \epsilon \ Q, b+c \neq a)$$ are

Let $$f(x)=x^3+3x^2+9x+6\sin x$$ then the roots of the equation 
$$\dfrac 1{x-f(1)}+\dfrac 2{x-f(2)}+\dfrac 3{x-f(3)}=0$$ has

If $$l,m,n $$ are real and $$l \neq m$$, the roots of the equation $$(l-m)x^2-5(l+m)x-2(l-m)=0$$ are-