Question

Write an equation of the asymptotes of the following hyperbola: y^2 / 16 - x^2 / 25 = 1

Answer 1

Compare the equation y²/16 - x²/25 = 1 with y²/a² - x²/b² = 1.

a² = 16 and b² = 25.

a = ± 4 and b = ± 5.

Here the transverse axis is vertical, the asymptotes are of the forms y = (a/b) x and y = - (a/b) x.

The asymptote equation is y = ± 4/5.