Mathematics

Mathematics

Problem

The locus of the foot of the perpendicular drawn from the focus upon any tangent to a parabola is the tangent at the vertex. For a specific parabola, this locus is given by the line 3x+4y−12=03x + 4y - 12 = 0. If the focus of this parabola is at the origin (0,0)(0, 0), determine the coordinates of the vertex.

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