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

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 `N Q=(x(1+y^2))/(1+x^2)` , then the equation of curve given that it passes through the point `(3,1)` is

A

A) `5(1+y^(2))=(1+x^(2))`

B

B) `(1+y^(2))=5(1+x^(2))`

C

C) `(1+x^(2))=(1+y^(2))`

D

D) None of these

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The correct Answer is:
A
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