If a pair of lines drawn through the origin forms an isosceles right-angled triangle with the line 2 x+3 y=6 , then those lines are

Step-by-step solution

Given line, 2 x+3 y=6 Slope of line =-2 / 3 Equation of lines passing through origin and form an isosceles right angle triangle with the given line Each angle be 45^ . Equation of line passing through origin and making an angle 45^ with the line 2 x+3 y=6 is y x = -2 / 3 45^ 1 ( -2 3 ) 45^ y x = -2 / 3+1 1+ 2 3 or y x = -2 / 3-1 1-2 / 3 y x = 1 5 or y x = -5 1 5 y=x or y+5 x=0 x-5 y=0 or 5 x+y=0