Question

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.

Find the coordinates of the points which divide the line segment joining A(−2, 2) and B(2, 8) into four equal parts.

Find the coordinates of the points which divide the line segment joining A(– 2, 2) and B(2, 8) into four equal parts.

Assertion(A): Mid -point of a line segment divides line in the ratio 1:1. Reason(R): The ratio in which the point (-3,k) divides the line segment joining the points (-5,4) and (-2,3) is 1:2.