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Consider a curve \( y=f(x) \) in \( x y \)-plane. The curve passis through \( (0,0) \) and has the property that a segment of tangent drawn at any point \( P(x, f(x)) \) and the line \( y h=3 \), gets bisected by the line \( x+y=1 \) then the equation of
\( \mathrm{P} \)
(a) \( y^{2}=9(x-y) \)
(b) \( (y-3)^{2}=9(1-x-y) \)
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(c) \( (y+3)^{2}=9(1-x-y) \)
(d) \( (y-3)^{2}-9(1+x+y) \)
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