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Show that the product of the perpendicul...

Show that the product of the perpendicular from (alpha,beta) to the pair of lines `S-= ax^(2)+2hxy+by^(2)+2gx+2fy+c=0` is `(|aalpha^(2)+2halphabeta+2galpha+2fbeta+c|)/(sqrt((a-b)^(2)+4h^(2)))` Hence or otherwise find the product of the perpendicular from the origin

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The correct Answer is:
`(|a alpha^2+2halphabeta+b beta^2|)/(sqrt((a-b)^2+4h^2))`
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