Given:

and points

To prove:

The product of perpendicular on the line from the points is b².

Concept Used:

Distance of a point from a line.

Explanation:

Let d₁ and d₂ be the perpendicular distances of line from points and respectively.

∴d₁

Similarly,

d₁ = -

Now,

d₁d₂

⇒ d₁d₂

⇒ d₁d₂

⇒ d₁d₂

Hence proved.