Q21 of 63 Page 202

Find the eccentricity of the hyperbola 9y2 – 4x2 = 36.

9y2 - 4x2 = 36


Dividing the equation by 36,




Equation of Hyperbola =


Comparing the equations,


a = 2 & b = 3


b2 = a2 (e2 - 1)


32 = (2)2[(e)2 - 1)]


9 = 4 (e2 - 1)





Hence, the eccentricity of given hyperbola is .


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