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If e1 is the eccentricity of the ellipse...

If `e_1` is the eccentricity of the ellipse `x^2/16+y^2/25=1 and e_2` is the eccentricity of the hyperbola passing through the foci of the ellipse and `e_1 e_2=1`, then equation of the hyperbola is

A

`(x^2)/(9)-(y^2)/(16)=1`

B

`(x^2)/(16)-(y^2)/(9)=1`

C

`(x^2)/(9)-(y^2)/(25)=1`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
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