The curve satisfying the differential equation $y \mathrm{~d} x-\left(x+3 y^2\right) \mathrm{dy}=0$ and passing through the point $(1,1)$ also passes through the point
- A$\left(\frac{1}{4}, \frac{1}{2}\right)$
- B$\left(\frac{1}{4},-\frac{1}{2}\right)$
- C$\left(\frac{1}{3},-\frac{1}{3}\right)$
- D$\left(-\frac{1}{3}, \frac{1}{3}\right)$
✓ Correct answer: D
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