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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