A point R on the x-axis such that PR+RQ is minimum when P= (1, 1) and Q= (3, 2) is

Since P and Q lie on the same side of x-axis the image of Q(3,2) about x-axis is Q'3,−2 then the equation of the line PQ1 is y-1=-2-13-1(x-1)⇒3x+2y-5=0 This line meets x -axis at R53,0