# What kind of parabola is that?

Geometry Level 5

We all know that a parabola is defined as the set of points equidistant from a point (the focus) and a line (the directrix). But...

The set of points that are equidistant from the line $$y=0$$ and the point $$(2,3)$$ or the point $$(2,4)$$ can be represented by the equation

$x^4+ax^3+bx^2+cx+dx^2y+fxy+gy^2+hy+j=0$

Find $$j$$

×