The equation of the tangents to the curve \( \left(1+x^{2}\right) y=1 \) at the points of its in...

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The equation of the tangents to the curve \( \left(1+x^{2}\right) y=1 \) at the points of its intersection with the curve \( (x+1) y=1 \), is given by
(a) \( x+y=1, y=1 \)
(b) \( x+2 y=2, y=1 \)
(c) \( x-y=1, y=1 \)
(d) None of these
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