\( A B \) is a double ordinate of the parabola \( y^{2}=4 a x \). T...

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\( A B \) is a double ordinate of the parabola \( y^{2}=4 a x \). Tangents drawn to the parabola at \( A \) and \( B \) meet the \( y \)-axis at \( A_{1} \) and
\( \mathrm{P} \) \( B_{1} \), respectively. If the area of trapezium \( A A_{1} B_{1} B \) is equal

W to \( 24 a^{2} \), then the angle subtended by \( A_{1} B_{1} \) at the focus of the parabola is equal to
(1) \( 2 \tan ^{-1}(3) \)
(2) \( \tan ^{-1}(3) \)
(3) \( 2 \tan ^{-1}(2) \)
(4) \( \tan ^{-1}(2) \)
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