The line $y=\mathrm{m} x+3$ is tangent to the parabola $y^2=4 x$, if the value of m is

Angle between the parabola $y^2=4(x-1)$ and $x^2+4(y-3)=0$ at the common end of their latus rectum is

The Y-intercept of the common tangent to the parabolas $y^2=32 x$ and $x^2=108 y$ is

The area of the triangle formed by the lines joining the vertex of the parabola $x^2=20 y$ to the end of its latus rectum is