Question

. Derive an expression for the perpendicular distance between a point and a line. ​

Answer 1

This line is represented by Ax + By + C = 0. The distance of point from a line, 'd' is the length of the perpendicular drawn from N to l. The x and y-intercepts are −C/A and

−C/B respectively. NM = d = |Ax1 + By1 + C| / (A2 + B2)½.

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