# This is not a standard parabola!

Geometry Level 2

A point $$P(1,5)$$ lies on a parabola whose:

1) Focus is at $$F(a,3)$$
2) Axis of symmetry is parallel to the $$x$$-axis.
3) Vertex lies on the $$y$$-axis.

Find the length of the latus rectum of the parabola given above.

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