Q7 of 184 Page 10

Find the distances of that point from the origin which divides the line segment joining the points (5,-4) and (3,-2) in the ration 4:3.

Let the coordinates of the point be (x,y)


Let A = (5, -4) and B = (3, -2)


Here, the point divides the line segment in the ratio 4:3


So, m1 = 4 and m2 = 3


Using section formula,


…(i)





Hence, the coordinates of P are


Now, the distance from the origin (0,0) is






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