\( A B C \) 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 \( B C \). Distance between the incentre and circumcentre is
(a) \( r(\tan A-\cot (B / 2)) \) (b) \( r(\cot A-\tan (B / 2)) \)
(c) \( r(\tan (B / 2)-\sin A) \) (d) none of these
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