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The equation of the hyperbola whose vert...

The equation of the hyperbola whose vertices are at `(0, pm6)` and eccentricity = `(5)/(3)` is (i) `16 x ^(2) - 9y^(2) = 576` (ii) `16y^(2)-9x^(2)=576` (iii) `9x^(2)-16y^(2)=576` (iv) `9y^(2)-16x^(2)=576`

A

`16 x ^(2) - 9y^(2) = 576`

B

`16y^(2)-9x^(2)=576`

C

`9x^(2)-16y^(2)=576`

D

`9y^(2)-16x^(2)=576`

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The correct Answer is:
B
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