How do you identify the vertices, foci, and direction of #x^2/121-y^2/81=1#?
Taking the general equation of hyperbola and comparing with
we get that
Eccentricity(e) of the hyperbola will be
we get e=
foci will be (+/- ae,0)
vertices are(+/- a,0)
as the rhs=1 the hyperbola will be towards +ve and -ve x axis with its axis as the x and y axis.