Given: $L_1=3x-4y+1=0$ and $L_2=5x+y-1=0$
Equation of any line passing through the intersection of the given two lines lines is given by
Also it is given that (i) passes through $(2,1).$
Substituting the value of $\lambda$ in (i) we get the required equation as
Hence (a) is the correct answer.