If the equation `ax^2 + 2hxy + by^2 + 2gx + 2fy + c = 0` resents a pair of parallel lines then prove that

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

If the equation ax^2 + 2hxy + by^2 + 2gx + 2fy + c = 0 represents a pair of parallel lines, prove that a/h = h/b = g/f

If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of parallel lines, then

If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of parallel lines, then

If the equation ax^2+2hxy+by^2+2gx+2fy+c=0 represents a pair of parallel lines, then the distance between them is

If the equation ax^2+2hxy+by^2+2gx+2fy+c=0 represents a pair of parallel lines, prove that h=sqrt(ab) and gsqrtb=fsqrta or (h=-sqrt(ab)and gsqrtb=-fsqrta)