Asked by ceasar
Given that the equation of the hyperbola is 9x(squared)-4y(squared)=36.
(i)Find the centre and vertices
(ii)Find the foci and eccentricity
(iii)find the equation of the asymptotes
(i)Find the centre and vertices
(ii)Find the foci and eccentricity
(iii)find the equation of the asymptotes
Answers
Answered by
Steve
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
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
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