If \( y_{1}, y_{2} \), and \( y_{3} \) are the ordinates of the ver...

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If \( y_{1}, y_{2} \), and \( y_{3} \) are the ordinates of the vertices of a triangle
\( \mathrm{P} \) inscribed in the parabola \( y^{2}=4 a x \), then its area is

W
(1) \( \frac{1}{2 a}\left|\left(y_{1}-y_{2}\right)\left(y_{2}-y_{3}\right)\left(y_{3}-y_{1}\right)\right| \)
(2) \( \frac{1}{4 a}\left|\left(y_{1}-y_{2}\right)\left(y_{2}-y_{3}\right)\left(y_{3}-y_{1}\right)\right| \)
(3) \( \frac{1}{8 a}\left|\left(y_{1}-y_{2}\right)\left(y_{2}-y_{3}\right)\left(y_{3}-y_{1}\right)\right| \)
(4) none of these
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