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The equation of a hyperbola whose asympt...

The equation of a hyperbola whose asymptotes are `3x +- 5y =0` and vertices are `(+-5,0)` is

A

`9x^(2) - 25y^(2) = 225`

B

`25x^(2) - 9y^(2) = 225`

C

`5x^(2) - 3y^(2) = 225`

D

`3x^(2) - 5y^(2) =25`

Text Solution

Verified by Experts

The correct Answer is:
A
The asymptotes are `(x)/(5) + (y)/(3) =0` and `(x)/(5) -(y)/(3) =0`
The equation of hyperbola is `(x^(2))/(25) - (y^(2))/(9) =1 ( :'` vertex is (5,0))
`rArr 9x^(2) - 25y^(2) = 225`
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