A triangle \( A B C \) of area \( \Delta \) is inscribed in the \( ...

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A triangle \( A B C \) of area \( \Delta \) is inscribed in the
\( \mathrm{P} \) parabola \( y^{2}=4 a x \) such that the vertex \( A \) lies at the

W vertex of the parabola and \( B C \) is a focal chord. The differences of the algebraic distances of \( B \) and \( C \) from the axis of the parabola is
(1) \( \frac{2 \Delta}{a} \)
(2) \( \frac{2 \Delta}{a^{2}} \)
(3) \( \frac{a}{2 \Delta} \)
(4) None of these
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