Question

Find the area (in sq.units) of the triangle formed by the lines joining the vertex of the parabola $x^2=12y$ in the en.ds of its latus rectum

Answer 1

$x^2=12y$

$x^2=4\left(3\right)y$

Area $=\frac{1}{2}\left|\begin{array}{cccc}0& 6& -6& 0\\ 0& 3& 3& 0\end{array}\right|$

$=\frac{1}{2}(18+8)$

$=18sq.units$