Find the distance of the line 4x + 7y + 5 = 0 from the point (1, 2) along the line 2x – y = 0.

Question

Philoid · Accepted Answer

The given lines are

2x – y = 0 ------------- (1)

4x + 7y + 5 = 0 --------------- (2)

A(1,2) is a point on line (1).

Let B be the point of intersection of lines (1) and (2).

So, solving equations (1) and (2), we get,

x = and y =

Thus, coordinates of point B are

So, according to distance formula, the distance between points A and B can be obtained as

AB = units

= units

Therefore, the required distance is units