A tangent is drawn to the parabola \( y^{2}=4 x \) at the point ' \...

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A tangent is drawn to the parabola \( y^{2}=4 x \) at the point ' \( P \) ' whose abscissa lies in the interval \( [1,4] \). The maximum possible area of the triangle formed by the tangent at ' \( P \) ', ordinate of the
P point ' \( P \) ' and the \( x \)-axis is equal to :

W
(a) 8
(b) 16
(c) 24
(d) 32
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