the equation `ax^(2)+ 2hxy + by^(2) + 2gx + 2 fy + c=0` represents an ellipse , if

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

ax^(2) + 2hxy + by^(2) + 2 gx + 2fy + c=0 represents two parallel straight lines if

The equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a circle if

The equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a circle if

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