Show by section formula that the points (3, -2), (5, 2) and (8, 8) are collinear.

Let the point (5, 2) divides the line joining the points (3, -2) and (8, 8) in the ratio m 1 : m 2 . By section formula the x-coordinate of dividing points is given by Putting values we get, By section formula the y-coordinate of dividing points is given by Putting values we get, Since, we get ratio m 1 : m 2 from both the equations it means that the point (5, 2) lies on the line joining the points (3, -2) and (8, 8). Hence, proved that the points (3, -2), (5, 2) and (8, 8) are collinear.

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Find the third vertex of a triangle if its two vertices are (-1, 4) and (5, 2) and mid-point of one side is (0, 3).

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

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The mid-point of the line segment AB shown in the adjoining diagram is (4, -3). Write down the coordinates of A and B.

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Mathematics

Show by section formula that the points (3, -2), (5, 2) and (8, 8) are collinear.

Section Formula

Related Questions

Find the third vertex of a triangle if its two vertices are (-1, 4) and (5, 2) and mid-point of one side is (0, 3).

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

The mid-point of the line segment AB shown in the adjoining diagram is (4, -3). Write down the coordinates of A and B.