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Show that the line segment obtained by j...

Show that the line segment obtained by joining the points (5,6) and (-10,-12) passes through the origin.

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The coordinates of the point which divides externally the line segment obtained by joining the points (2, -5) and (-3, -2) into the ratio 4 : 3 are

Prove that the mid-point of the lines segments obatained by joining the points (2,1) and (6,5) lies on the line obtained by joining the points (-4,-5) and (9,8).

Find the coordinates of the point at which the line segment obtained by joining the points (a, b) and (b, a) is divided externally into the ratio (a - b) : (a + b).

The coordinates of the point which divides internally the line segment obtained by joining the points (8, 9) and (-7, 4) into the ratio 2 : 3 are