The tangent to the curve \( 3 x y^{2}-2 x^{2} y=1 \) at \( (1,1) \) meets the curve again at the...

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The tangent to the curve \( 3 x y^{2}-2 x^{2} y=1 \) at \( (1,1) \) meets the curve again at the point.
(a) \( \left(\frac{16}{3}, \frac{1}{20}\right) \)
(b) \( \left(-\frac{16}{5},-\frac{1}{20}\right) \)
(c) \( \left(\frac{1}{20}, \frac{16}{5}\right) \)
(d) \( \left(-\frac{1}{20}, \frac{16}{1}\right) \)
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