Prove that the product of the lengths of the perpendiculars drawn from the points
and
to the line

The equation of the given line is
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⇒ bxcosƟ + aysinƟ – ab = 0 ……………….(1)
Length of the perpendicular from point
to line (1) is

--------------- (2)
Length of the perpendicular from point
to line (2) is

--------------- (3)
On multiplying equations (2) and (3), we get,

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Hence Proved.