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A n8rmal at \( P(x, y) \) on a curve neets the \( X \)-axis at \( Q \) and \( N \) is the foot of the ordinate at \( P \). If \( N Q=\frac{x\left(1+y^{2}\right)}{\left(1+x^{2}\right)} \).
\( \mathrm{P} \) Then the equation of curve passing through \( (3,1) \) is
(a) \( 5\left(1+y^{2}\right)=\left(1+x^{2}\right) \)
(b) \( \left(1+y^{2}\right)=5\left(1+x^{2}\right) \)
(c) \( \left(1+x^{2}\right)=\left(1+y^{2}\right) \cdot x \)
(d) None of these
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