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A line \( L^{\prime} \) through \( A \) is drawn parallel to \( B D \). Point \( S \) moves such that its distances from the line \( B D \) and the
\( \mathrm{P} \) vertex \( A \) are equal. If locus of \( S \) cuts \( L^{\prime} \) at \( T_{2} \) and \( T_{3} \) and

W \( A C \) at \( T_{1} \), then area of \( \Delta T_{1} T_{2} T_{3} \) is
(a) \( \frac{1}{2} \) sq units
(b) \( \frac{2}{3} \) sq units
(c) 1 sq units
(d) 2 sq units
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