If the lines x+3 y-9=0,4 x+b y-2=0 and 2 x-y-4=0 are concurrent, then the equation of the line passing through the point (b, 0) and concurrent with the given lines, is

Step-by-step solution

Given that, x+3 y-9=0, 4 x+b y-2=02 x-y-4=0 are concurrent. aligned & | array ccc 1 & 3 & -9 4 & b & -2 2 & -1 & -4 array |=0 & 1(-4 b-2)-3(-16+4)-9(-4-2 b)=0 & -4 b-2+36+36+18 b=0 & 14 b=-70 b=-5 aligned From equations x+3 y-9=0 and 2 x-y-4=0 x=3 and y=2 Concurrency point is (3,2) Equation of line passing through (-5,0) and (3,2) is aligned & y-0= 2-0 3+5 (x+5) & y= 1 4 (x+5) 4 y=x+5 & x-4 y+5=0 aligned