In a triangle \( A B C, r_{1}=2 r_{2}=3 r_{3} ; D \) is the mid-poi...

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In a triangle \( A B C, r_{1}=2 r_{2}=3 r_{3} ; D \) is the mid-point of \( B C \), \( \triangle \mathrm{ADC}=\theta . D L \) is perpendicular to \( A B \), Area of the triangle \( A L D \) is \( \Delta^{\prime} \).
\( \Delta^{\prime} \) is equal to
(a) \( (1 / 4) \Delta \)
(b) \( (1 / 2) \Delta \)
(c) \( (1 / 3) \Delta \)
(d) \( (1 / 8) \Delta \)
\( \mathrm{W} \)
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