Q. 84.3( 6 Votes )

# Show that the product of perpendicular on the line from the points is b^{2}.

Answer :

__Given:__

and points

**To prove:**

The product of perpendicular on the line from the points is b^{2}.

__Concept Used:__

**Distance of a point from a line.**

**Explanation:**

Let d_{1} and d_{2} be the perpendicular distances of line from points and respectively.

∴d_{1}

Similarly,

d_{1} = -

Now,

d_{1}d_{2}

⇒ d_{1}d_{2}

⇒ d_{1}d_{2}

⇒ d_{1}d_{2}

Hence proved.

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