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If the equation ax^2+2hxy+by^2+2gx+2fy+c...

If the equation `ax^2+2hxy+by^2+2gx+2fy+c=0` represents a pair of parallel lines, prove that
`h=sqrt(ab) and gsqrt(b)=fsqrt(a)or (h=-sqrt(ab)and gsqrt(b)=-fsqrt(a))`.
The distance between them is `2sqrt((((g^2-ac))/(a(a+b))))`.

Text Solution

Verified by Experts

The correct Answer is:
`=2sqrt((g^2-ac)/(a(a+b)))`
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