Show that if B>0, then the graph of x²+Bxy=F, is a hyperbola if F≠0, and two intersecting lines if F=0.
A conic in the two-dimensional plane is the solution set of an equation of the form
for real parameters and , where at least one of and is not zero.
If then the graph is a hyperbola (or two intersecting lines).
We have
Therefore the graph of is a hyperbola or two intersecting lines., if
If we have a hyperbola
If we have two intersecting lines
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