If the tangent at a point P on the parabola y^2=3 x is parallel to the line x+2 y=1 and the tangents at the points Q and R on the ellipse…

If the tangent at a point P on the parabola $\displaystyle y^2=3 x$ is parallel to the line $\displaystyle x+2 y=1$ and the tangents at the points Q and R on the ellipse $\displaystyle \frac{x^2}{4}+\frac{y^2}{1}=1$ are perpendicular to the line $\displaystyle x-\mathrm{y}=2$, then the area of the triangle PQR is :