Equations of Asymptotes
The results and formulas related to asymptotes are listed below.
Asymptotes
a. Obtain by putting , in the highest degree terms of the equation of the curve.
b. Obtain by putting , in the degree terms of the equation of the curve.
c. Obtain by putting , in the degree terms of the equation of the curve.
d. Put and solve it for . Let etc., be its roots, then:
e. where .
f. If , then is obtained by asymptotes are then asymptotes parallel to axis.

The asymptotes parallel to the axis are obtained by equating to zero, the coefficients of the highest power of in the equation of curve.

The asymptotes parallel to the axis are obtained by equating to zero, the coefficients of the highest power of in the equation of curve.

The number of asymptotes to an algebraic curve of the th degree cannot exceed .