`A``A_(1)`,`B``B_(1)`,`C``C_(1)` are the medians of triangle `ABC` whose centroid is `G` .If the points `A,G,C_(1)` and `B_(1)` are concyclic ,then

A A_1, B B_1a n dC C_1 are the medians of triangle A B C whose centroid is Gdot If points A ,C_1, Ga n dB_1 are concyclic, then

AD, BE and CF are the medians of triangle ABC whose centroid is G. If the points A, F, G and E are concyclic, then prove that 2a^(2) = b^(2) + c^(2)

Find the equation of the altitudes of triangle ABC whose vertices are A(2,-2), B(1,1) and C(-1,0)

A(-3, 1), B(4,4) and C(1, -2) are the vertices of a triangle ABC. Find: the equation of median BD.

Find the lengths of the medians of a triangle whose vertices are A(-1,\ 3),\ \ B(1,\ -1) and C(5,\ 1) .

A(-1, 3), B(4, 2) and C(3, -2) are the vertices of a triangle. Find the coordinates of the centroid G of the triangle.

Find the orthocentre of the triangle ABC whose angular points are A(1,2),B(2,3) and C(4,3)

Find the co-ordinates of the centroid of a triangle ABC whose vertices are : A(-1, 3), B(1, -1) and C(5, 1)

Using integration, find the area of the triangle ABC whose vertices are A(-1,1), B(0,5) and C(3,2) .

Calculate the co-ordinates of the centroid of the triangle ABC, if A = (7, -2), B = (0, 1) and C = (-1, 4).