A line passing through origin and is perpendicular to two given lines 2 x+y+6=0 and 4 x+2 y-9=0 . The ratio in which the origin divides this line, is

Step-by-step solution

Equation of line perpendicular to 2 x+y+6=0 and passes through origin is x-2 y=0 Now, the point of intersection of 2 x+y+6=0 and x-2 y=0 is (- 12 5 ,- 6 5 ) Similarly, the point of intersection of x-2 y=0 and 4 x+2 y-9=0 is ( 9 5 , 9 10 ) . Let the origin divide the line x-2 y=0 in the ratio : 1 x= 9 5 - 12 5 +1 =0 array ll & 9 5 = 12 5 & = 12 9 = 4 3 array