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+3HG=`lamdaHD`, then what is the value of the scalar `lamda`.

Let ABC be a triangle whose centroid is G, orhtocentre 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 vec(AD) + vec(BD) + vec(CH ) + 3 vec(HG)= lamda vec(HD) , then what is the value of the scalar 'lamda' ?

Let ABC be a triangle having its centroid its centroid at G. If S is any point in the plane of the triangle, then vec(SA) + vec(SB)+vec(SC)=

Let ABC be a triangle having its centroid its centroid at G. If S is any point in the plane of the triangle, then vec(SA) + vec(SB)+vec(SC)=

Let ABC be a triangle having its centroid its centroid at G. If S is any point in the plane of the triangle, then vec(SA) + vec(SB)+vec(SC)=

O is the circumcentre of the triangle ABC and D is the mid-point of the base BC. Prove that angleBOD = angleA

ABC is a triangle whose circumcentre, incentre and orthocentre are O, I and H respectively which lie inside the triangle, then :

ABC is a triangle whose circumcentre, incentre and orthocentre are O, I and H respectively which lie inside the triangle, then :

let ABC be a right angled triangle at C. If the inscribed circle touches the side AB at D and (AD)(BD)=11, then find the area of triangle ABC..