Distance Between Parallel Lines

The given equation of the lines are: 1. 2. 3. We need to find the ratio in which the line divides the distance between the two parallel lines. Step 1: Formula for distance between two parallel lines The formula for the distance between two parallel lines and is given by: For the lines and , we have: Thus, the distance between the two lines is: Step 2: Ratio in which the line divides the distance The equation of the line dividing the distance is . The distance from this line to is: And the distance from this line to is: Now, the required ratio of the distances is: Thus, the ratio in which the line divides the distance is .