If a particle moving along x-2 y-3=0 gets reflected in a perpendicular direction upon hitting the line 3 x-2 y-5=0 , then the line of the movement of the particle after reflection is

Step-by-step solution

Given line in x-2 y-3=0 which reflected by the line 3 x -2 y -5=0 . Let the slope of reflected ray in m ^1 2 y = x -3 y= 1 2 x- 3 2 m ₁= 1 2 As inclined ray and reflected ray are normal to each other then, mm ^1=-1 . So, m ^1=-2 . Intersection of two lines x-2 y-3=0 and 3 x-2 y-5=0 is (1,-1) . Required equation of line =(y+1)=-2(x-1) 2 x + y -1=0