The equation of the curve through the point \( (1,0) \) and whose s...

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The equation of the curve through the point \( (1,0) \) and whose slope is \( \frac{y-1}{x^{2}+x} \) is
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(a) \( (\mathrm{y}-1)(\mathrm{x}+1)+2 \mathrm{x}=0 \)
(b) \( 2 \mathrm{x}(\mathrm{y}-1)+\mathrm{x}+1=0 \)
(c) \( \mathrm{x}(\mathrm{y}-1)(\mathrm{x}+1)+2=0 \)
(d) \( \mathrm{x}(\mathrm{y}+1)(\mathrm{x}+1)+2=0 \)
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