\( A B C \) is a triangle in which the line joining \( I \), the in...

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\( A B C \) is a triangle in which the line joining \( I \), the incentre and \( O \) the circumcentre of the triangle is parallel to \( B C, bc . O E \) and \( I D \) are perpendicular on \( B C \).
Area of the triangle \( B I C \) is equal to
(a) Area of \( \triangle B O C \)
(b) 2 Area of \( \triangle B I D \)
(c) (1/2) Area of \( \triangle A B C \)
(d) Area of \( \triangle A I B \)
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