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A normal at P(x,y) on a curve meets the ...

A normal at `P(x,y)` on a curve meets the x-axis at Q and N is the foot of the ordinate at P. If `NQ= x(1+y^(2))/(1+x^(2))`, then the equation of curve given that is passes through the point (3,1) is

A

`x^2 - y^2 =8`

B

`x^2 + 2 y ^2 =11`

C

` x^2 - 5y ^2 =4`

D

none of these

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The correct Answer is:
C
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