The ratio in which the line $3 x+4 y+2=0$ divides the distance between $3 x+4 y+5=0$ and $3 x+4 y-5=0$, is

Since, the lines $3 x+4 y+2=0$ and $3 x+4 y+5=0$ are on the same side of the origin. The distance between these lines is $5-2=3$. And the line $3 x+4 y+2=0$ and $3 x+4 y-5=0$ are opposite side of the origin, The distance between these lies is 7 . Hence, required ratio is $3: 7$.