Question

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

Answer 1

We need to prove the points (3,-2),(5,2) and(8,8) are collinear. A=(3,-2) B=(5,2) C=(8,8) Let The points B divides AC in the ratio of k+1 Then the coordinates will be, (8k+2/k+1,8k+5/k+1) Coordinates of B are (4,6) Comparing we get, 8k+2/k+1=4 and 8k+5/k+1=6 8k+2=4k+4 and 8k+5=6k+6 4k=2 and 2k=1 k=2/4 and k=1/2 k=1/2 and k=1/2 Value of k is same in both x and y directions.Therefore Points A,B,C are collinears.
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