Q8 of 319 Page 23

Show that the product of perpendicular on the line from the points is b2.

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.


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