\( P \) is a point on the parabola \( y^{2}=4 x \) and \( M \) is the foot of the perpendicular .... VIDEO
\( P \) is a point on the parabola \( y^{2}=4 x \) and \( M \) is the foot of the perpendicular drawn from \( P \) onto the directrix.
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\( S \) is the focus. If \( \triangle \mathrm{PSM} \) is an equilateral triangle, then
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the area of the triangle is:
(1) \( 3 \sqrt{3} \)
(2) \( 4 \sqrt{3} \)
(3) \( 2 \sqrt{3} \)
(4) \( 8 \sqrt{3} \)
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