General
equation of second degree
The
equation of the form ax2 + 2hxy + by2 + 2gx + 2fy + c = 0
is the general equation second degree in x and y.
The
pair of straight lines A1x + B1y + C1 = 0 and
A2x + B2y + C2 = 0 can always be put in the
form of second degree equation but the converse is not always true.
Homogeneous equation of second degree
The
equation of the form ax2 + 2hxy + by2 = 0 is the called
homogeneous equation of second degree in x and y. The homogeneous equation of
second degree always represents a pair of straight lines passing through the
origin.
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