# Asymptotes of Hyperbola

Definition Asymptotes are tangents to the curve at infinity.

For hyperbola , equation of pair of asymptotes is .

Thus equation of hyperbola and that of its pair of asymptotes differ by constant k only.

Slopes of asymptotes are Â± .

Angle between asymptotes is Î¸ = tanâ€“1.

For rectangular hyperbola, asymptotes are x â€“ y = 0 and x + y = 0 which are perpendicular.

Axes of hyperbola are bisectors of pair of asymptotes.