\( A L, B M \) and \( C N \) are diameter of the circumcircle of a triangle \( A B C . \Delta_{1....

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\( A L, B M \) and \( C N \) are diameter of the circumcircle of a
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triangle \( A B C . \Delta_{1}, \Delta_{2}, \Delta_{3} \) and \( \Delta \) are the areas of the triangles
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\( B L C, C M A, A N B \) and \( A B C \) respectively \( \Delta_{1} \) is equal to
(1) \( 2 R^{2} \sin A \cos B \cos C \)
(2) \( 2 R^{2} \sin A \sin B \cos C \)
(3) \( 2 R^{2} \cos A \cos B \sin C \)
(4) \( 2 R^{2} \sin A \sin B \sin C \)


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