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If ax^2+2hxy+by^2+2gx+2fy+c=0 represents two parallel lines then prove that af^2=bg^2 .
If ax^2+2hxy+by^2+2gx+2fy+c=0 represents two parallel lines then prove that the distance between the parallel lines is 2sqrt((g^2-ac)/(a(a+b)))" or "2sqrt((f^2-bc)/(b(a+b))) .
If ax^2+2hxy+by^2+2gx+2fy+c=0 represents a pair of lines then prove that triangle=abc+2fgh-af^2-bg^2-ch^2=0 .
