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If the distance between the foci of a hy...

If the distance between the foci of a hyperbola is `16` and its eccentricity is `sqrt(2)` , then obtain its equation.

A

`x ^(2) - y^(2) =32`

B

`(x^(2))/(4) -(y ^(2))/(9) =1`

C

`2x ^(2) -3y ^(2) =7`

D

`y ^(2) -x ^(2) =32`

Text Solution

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The correct Answer is:
A
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  10. The directrix of the hyperbola (x ^(2))/(9) - (y ^(2))/(4) =1 is

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  11. The eccentricity of the conic x ^(2) -4y ^(2) =1 is

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  12. The eccentricity of the hyperbola (sqrt(1999))/(3)(x^(2)-y^(2))=1, is

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  13. Eccentricity of the hyperbola passing through (3,0) and (3 sqrt(2),2) ...

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  16. The difference of the focal distance of any point on the hyperbola 9x ...

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  18. IF t is a parameter, then x = a(t + (1)/(t)) and y = b(t - (1)/(t)) re...

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