Coordinate Geom...

Find the coordinates of the point equidistant from the points A(1, 2), B (3, –4) and C(5, –6).

Find the coordinates of the point equidistant from the points A(5, 1), B(–3, –7) and C(7, –1).

Two of the vertices of a ��ABC are given by A(6, 4) and B(–2, 2) and its centroid is G(3, 4). Find the coordinates of the third vertex C of the ΔABC.

Find the value of P for which the point (–1, 3), (2, p) and (5, –1) are collinear.

Find the distance of the point (–6, 8) from the origin.

Find the value of p for which the points (–5, 1), (1, p) and (4, –2) are collinear.

Find the value of k if the points A(2, 3), B(4, k) and C(6, –3) are collinear.

In what ratio of line x – y – 2 = 0 divides the line segment joining (3, –1) and (8, 9)?

Find the ratio in which the line joining the points (6, 4) and (1, –7) is divided by x-axis.