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A hyperbola, centred at the prigin, has ...

A hyperbola, centred at the prigin, has transverse axis 2a. If it passes through a given point `( x_(1), y _(1)),` then its eccentricity is

A

`sqrt((x _(1)^(2) -y _(1)^(2) -a^(2))/(x _(1)^(2) - y_(1)^(2)))`

B

`sqrt((a ^(2) - x _(1)^(2)-y _(1)^(2))/(a ^(2) - x _(1)^(2)))`

C

`sqrt((a ^(2) + x_(1)^(2) + y_(1)^(2))/(a ^(2) - x _(1)^(2)))`

D

none of these

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The correct Answer is:
B
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