If thee quadratic equations $x^2+\left(\sqrt{AB+AC}\right)x+\frac{BC}{4}=0, x^2+\left(\sqrt{BC+AB}\right)x+\frac{AC}{4}=0$ and $x^2+\left(\sqrt{AC+BC}\right)x+\frac{AB}{4}=0$ are given, where A, B, C are three distinct points in a plane then, which of the following is/are CORRECT? 

If A, B, C are collinear, then two equations have real & distinct, one equation has real & equal roots.

If A, B, C are making a triangle then all equations have real & distinct roots.

If A, B, C are collinear, then all equations have real & equal roots.

for every position of A, B, C in the plane, all six roots are negative.