Solution: What are the two points on the line which are at a distance 2 units from another line?

The two points on the lines 2x = 3y + 4 = 0 which are at a distance 2 from the line 3x + 4y – 6 = 0 are? How to solve analytic geometry problem using distance formula?

What are the two points on the line which are at a distance 2 units from another line?

Problem Statement: CE Board November 1992

What are the two points on the line 2x = 3y + 4 = 0 which are at a distance 2 from the line 3x + 4y – 6 = 0?

Problem Answer:

The two points on the line 2x = 3y + 4 = 0 are P1(64, -44) and P2(4, -4).

Solution:

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