Ononot — A parabola y^2 = 4ax has a tangent at point P(at^2, 2at). If

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Circles & Conicshard

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A parabola $y^2 = 4ax$ has a tangent at point $P(at^2, 2at)$ . If this tangent meets the axis of the parabola at $T$ and the tangent at the vertex at $V$ , find the area of the triangle $\triangle TVS$ where $S$ is the focus $(a, 0)$ .