Given that the equation of the hyperbola is 9x(squared)-4y(squared)=36.

Question

(i)Find the centre and vertices
(ii)Find the foci and eccentricity
(iii)find the equation of the asymptotes

Answer 1

change to standard form:

x^2/4 - y^2/9 = 1

a = 2
b = 3
c^2 = 4+9 = 13
c = √13

(i) center: (0,0)
vertices: (±2,0)
(ii) foci at (±√13,0)
(iii) asymptotes: y = ±3/2 x