Question

Find the coordinates of the point C which lies on the line AB produced such that AC = 2BC, where coordinates of points A and B are (– 1, 7) and (4, – 3) respectively.

The line represented by x/4 + y/6 = 1, intersects x-axis and y-axis respectively at P and Q. The coordinates of the mid-point of line segment PQ are :

Two of the vertices of △ PQR are P(−1, 5) and Q(5, 2). The coordinates of a point which divides PQ in the ratio 2 : 1 are :

If the mid-point of the line segment joining the points A(3, 4) and B(k, 6) is P(x, y) and x + y − 10 = 0, find the value of k.