If m=1 is the slope of a line L , then the product of the slopes of non-parallel lines which are inclined at an angle of 60^ with L is

Step-by-step solution

Let slope of line, which inclined with angle 60^ with line L is ' n ', so aligned & 60^ = | n-1 1+n |= 3 & (n-1)^2=3(n+1)^2 & 2 n^2+8 n+2=0 , which roots are slope of & required lines, so product of slopes =1 . & aligned