Find the eccentricity of the hyperbola `9y^(2)-4x^(2)=36`

1.	Find the eccentricity of the hyperbola `9y^(2)-4x^(2)=36`
Answer» Given equation of the hyperbola is `9y^(2)-4x^(2)=36` `rArr (9y^(2))/36-(4x^(2))/36=36/36` `rArr (y^(2))/4-(x^(2))/9=1` `rArr -(x^(2))/9+(y^(2))/4=1` Since, this equation in form of `-(x^(2))/a+(y^(2))/(b^(2))=1`.wherea=3 and b=2. `e=sqrt(1+(a/b)^(2))` `=sqrt(1+9/4)=(sqrt13)/2`

Discussion

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