A line L passing through the focus of the parabola y^2=4(x-1) intersects the parabola in two distinct points,Let ‘m’ be the slope of the line L,if\tm∈(-1,1)\tm∈(- ∞,1)union(1,∞)\tm∈R\tnone of these

Hii assume the line as y=mx +c and let it pass througth focus .You wll get a relation of values . Now just put those values in the equation and solve .You will get a quaratic and make its D>0 . You will get the answer