Geometry Cartesian Plane

If the vetices of a triangle have integral coordinates, the Triangle cannot be

In the given figure the area of triangle ABC ( in sq. Units ) is

Ratio in which the line 3x + 4y = 7 divides the line segment joining the points ( 1,2) and ( -2,1 )

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

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

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

The vertices of a ΔABC and given by A(2, 3) and B(–2, 1) and its centroid is G

Find the coordinates of the third vertex C of the ΔABC.

Points ( 1,5 ), ( 2, 3 ) and ( -2, -11 ) are

(a)