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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)- x_(1)^(2)))`

B

`sqrt((x^(2) - x_(1)^(2) - y_(1)^(2))/(x^(2)- a_(1)^(2)))`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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