Three vertices of a triangle are `A(4,3); B(1,-1) and C(7,k)`. Value(s) of `k` for which centroid, orthocentre,incentre and circumcentre of the `DeltaABC` lie on the same straight line is/are-

Three vertices of a triangle are A(4,3);B(1,-1) and C(7,k). Value(s) of k for which centroid,orthocentre,incentre and circumcentre of the Delta ABC lie on the same straight line is/are-

Three vertices of a triangle are A(5,4),B(2,0) and C(8,k). Value(s) of k for which the centroid, the orthocentre, the incentre and the circumcentre of triangle ABC lie on the same straight line is/are

The vertices of a triangle are A(-10, 8), B(14,8) and C(-10, 26) . Let G, I, H, O be the centroid, incentre, orthocentre, circumcentre respectively of Delta ABC .

If the vertices of a triangle are (0,0,0),(1,-2,1) and (3,4,5), then the coordinates of the mid point of the line segment joining the orthocentre and the circumcentre is

If the vertices of a triangle are (1,k),(4,-3) and (-9,7) and its area is 15 eq. units, then the value(s) of k is

If (3, -2) is the orthocentre and (-1, 4) is the circumcentre of DeltaABC then centroid of DeltaABC is

The vertices of a triangle are (1, 2), (h, -3) and (-4, k). Find the value of sqrt({(h+k)^(2)+(h+3k)^(2)}) . If the centroid of the triangle be at point (5, -1).

The vertices of a triangle are (1, 2), (h, -3) and (-4, k). Find the value of sqrt({(h+k)^(2)+(h+3k)^(2)}) . If the centroid of the triangle be at point (5, -1).

The vertices of a triangle are (1, 2), (h, -3) and (-4, k). Find the value of sqrt({(h+k)^(2)+(h+3k)^(2)}) . If the centroid of the triangle be at point (5, -1).

The centroid of a triangle is (2,4) and circumcentre is (1,7), then find the orthocentre .