Let `L_1=0a n dL_2=0` be two fixed lines. A variable line is drawn through the origin to cut the two lines at `R` and `SdotPdot` is a point on the line `A B` such that `((m+n))/(O P)=m/(O R)+n/(O S)dot` Show that the locus of `P` is a straight line passing through the point of intersection of the given lines `R , S , R` are on the same side of `O)dot`