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[" B) Let "ABC" be a triangle whose cent...

[" B) Let "ABC" be a triangle whose centroid is "G," orthocentre is "H" and "],[" circumcentre is the origin 'O'.If "D" is any point in the plane of the "],[" triangle such that no three of "O,A,B,C" and "D" are "],[" collinear satisfying the relation "vec AD+vec BD+vec CH+3vec HG=lambdavec HD],[" then the value of the scalar ' "lambda'" is "]

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