# If the length of the perpendicular from the point (1, 1) to the line ax – by + c = 0 be unity, Show that .

Given:

Line ax – by + c = 0 and point (1, 1)

To prove: Concept Used:

Distance of a point from a line.

Explanation:

The distance of the point (1, 1) from the straight line ax by + c = 0 is 1

1 a2 + b2 + c2 – 2ab + 2ac – 2bc = a2 + b2

ab + bc – ac Dividing both the sides by abc, we get: Hence proved.

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