Q39 of 77 Page 7


Find the ratio in which the points (2, 5) divides the line-segment joining thepoints (-1, 2) and (4, 7).

 3: 2
SOLUTION:

Let A(-1, 2) and B(4, 7) be points. Let the point at which it is divided be C(2, 5).
AC 2 = (2 + 1) 2 + (5 - 2) 2 = (3) 2 + (3) 2 = 9 + 9 = 18
BC 2 = (2 - 4) 2 + (5 - 7) 2 = (-2) 2 + (-2) 2 = 4 + 4 = 8
The ratio in which the line segment is divided is 3: 2.

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