\(\mathrm{f}(\mathrm{x})\) is a continuous function on \(\mathbb{R}\) and \(\mathrm{y}=\mathrm{f}(\mathrm{x})\) is a curve. If \((\alpha, \beta)\) is a point such that \(\beta=f(\alpha)\) and \(p \alpha+m \beta+n=0\) \((\mathrm{p} \neq 0, \mathrm{~m} \neq 0)\), then which one of the following is True?

1. A When \(\mathrm{p}+\mathrm{mf}^{\prime}(\alpha)=0, \mathrm{px}+\mathrm{my}+\mathrm{n}=0\) intersects the curve \(y=f(x)\)
2. B \(\mathrm{px}+\mathrm{my}+\mathrm{n}=0\) is always a tangent to the curve \(y=f(x)\)
3. C When \(\mathrm{p}+\mathrm{mf}^{\prime}(\alpha) \neq 0, \mathrm{px}+\mathrm{my}+\mathrm{n}=0\) intersects the curve \(y=f(x)\)
4. D \(\mathrm{px}+\mathrm{my}+\mathrm{n}=0\) is never a tangent to the curve \(y=f(x)\)