For the curve represented parametrically by the equation $\mathrm{x}=2\log (\cot \mathrm{t})+1$ and $\mathrm{y}=\tan \mathrm{t}+\cot \mathrm{t}$ , then

Normal at $\mathrm{t}=\frac{\mathrm{\pi }}{4}$ is parallel to Y-axis

Tangent at $\mathrm{t}=\frac{\mathrm{\pi }}{4}$ is parallel to X-axis

Normal at $\mathrm{t}=\frac{\mathrm{\pi }}{4}$ is parallel to y=x

Tangent at $\mathrm{t}=\frac{\mathrm{\pi }}{4}$ is parallel to y = x