The equation of the pair of lines through the point (2,1) and perpendicular to the pair of lines 4 x y+2 x+6 y+3=0 is

Step-by-step solution

Given pair of lines, aligned & 4 x y+2 x+6 y+3=0 & 2 x(2 y+1)+3(2 y+1)=0 & (2 x+3)(2 y+1)=0 aligned So, equations of lines are x= -3 2 and y=- 1 2 Equations of line passing through (2,1) and perpendicular to the pair of lines 4 x y+2 x+6 y+3=0 are y-1=0 and x-2=0 Combining the equation of lines are (y-1)(x-2)=0 x y-x-2 y+2=0