A ray of light along x+3y=3 reflected on reaching  x-axis the equation of the reflected ray is y = mx + c then cm=

To get the reflected ray equation, find the equation of the line passing through the point of intersection of incident ray,   x-axis and the image of any point on the incident ray with respect to the  x- axis The line x+3y=3 meets   x-axis at A3,0A point on the line x+3y=3 is  B0,1The image of  B with respect to  x-axis is  B'0,−1The equation of the reflected ray is the line passing through the point  A3,0 and B'0,−1y+1=0+13−0x−0Therefore, the equation of the reflected ray is  3y=x−3