Parabola

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