The coordinates of points A, B and C are `(1, 2), (-2, 1) and (0, 6)`. Verify if the medians of the triangle ABC are concurrent..

In a triangle, ABC, the equation of the perpendicular bisector of AC is 3x - 2y + 8 = 0 . If the coordinates of the points A and B are (1, -1) & (3, 1) respectively, then the equation of the line BC & the centre of the circum-circle of the triangle ABC will be

The co-ordinates of two vertices of Delta ABC are A(8,-9,8) and B(1,2,3). The medians of the triangle meet at the point (5,-2,4). Find the co-ordinates of the vertex C.

The coordinates of points A,B,C and D are (-3, 5), (4, -2), (x, 3x) and (6, 3) respectively and Area of (Delta ABC)/(Delta BCD)=(2)/(3) ,find x.

The mid-points of the sides of a triangle are (1/2, 0), (1/2, 1/2) and (0, 1/2) . Find the coordinates of the incentre.

The co-ordinates of the vertices of Delta ABC are A(3, 2), B(1, 4) and C(-1, 0) . Find the length of median drawn from point A.

Find the coordinates of the orthocentre of a triangle whose vertices are (-1, 3) (2,-1) and (0, 0). [Orthocentre is the point of concurrency of three altitudes].

In an isosceles triangle ABC, the coordinates of the points B and C on the base BC are respectively (1, 2) and (2. 1). If the equation of the line AB is y= 2x, then the equation of the line AC is

The vertices of a triangle ABC are A(0, 0), B(2, -1) and C(9, 2) , find cos B .

The centroid of a triangle ABC is at the point (1, 1, 1) . If the coordinates of A and B are (3, 5, 7) and (1, 7, 6) , respectively, find the coordinates of the point C.

If A(-1, 6), B(-3, -9) and C(5, -8) are the vertices of a triangle ABC , find the equations of its medians.