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Let ABC be a triangle whose centroid is ...

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,C and D are collinear satisfying the relation.
AD+BD+CH+3HB=`lamdaHD`, then what is the value of the scalar `Delta`.

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