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The eccenttricity of the hyperbola x^(2...

The eccenttricity of the hyperbola `x^(2)/16-y^(2)/25=1`is

A

`3/4`

B

`3/5`

C

`sqrt41/4`

D

`sqrt41/5`

Text Solution

Verified by Experts

The correct Answer is:
C
`Givenequation is `x^(2)/(16)-y^(2)/(25)=1`
` `therefore e=sqrt(1+(b^(2))/(a^(2)=))=sqrt(1+(25)/(16))=sqrt(41/4)`
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