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If the equation S-=ax^(2)+2hxy+by^(2)+2g...

If the equation `S-=ax^(2)+2hxy+by^(2)+2gx+2fy+c=0` represents a pair of parallel straight lines then show that
(i) `h^(2)=ab` (ii) `af^(2)=bg^(2)` and
(iii) the distance between the parallel lines `=root(2)((g^(2)-ca)/(a(a+b)))=root(2)((f^(2)-bc)/(b(a+b)))`

Text Solution

Verified by Experts

The correct Answer is:
`bg^2`
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