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P is any point on the hyperbola x^(2)-y^...

P is any point on the hyperbola `x^(2)-y^(2)=a^(2)`. If `F_1 and F_2` are the foci of the hyperbola and `PF_1*PF_2=lambda(OP)^(2)`. Where O is the origin, then `lambda` is equal to

A

`1`

B

`sqrt(2)`

C

`2`

D

`3`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The foci of the hyperbola 9x^2 – 16y^2 = 144 are

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    B
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