Mathematics

Mathematics

Problem

Tangents are drawn to the parabola y2=12xy^{2} = 12x at points where the parameters are t=1t = 1 and t=3t = 3. These two tangents intersect at point TT. Consider the triangle formed by the vertex V(0,0)V(0,0), the point of intersection TT, and the focus S(3,0)S(3,0). Calculate the area of △VTS\triangle VTS.

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