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The point dividing the segment joining (2, 3) and (8, 6) in the ratio 1 : 2 (counting from the first point) has coordinates:
A(3, 4)
B(5, 4.5)
C(4, 4)
D(6, 5)
Answer & Solution
Correct answer: C. (4, 4)
1. From (2, 3) to (8, 6) the x-change is 6 and the y-change is 3.
2. The ratio 1 : 2 means the dividing point is 1/(1+2) = 1/3 of the way along.
3. Add 1/3 of the changes: x = 2 + 6/3 = 4; y = 3 + 3/3 = 4.
4. So the point is (4, 4).
5. This matches the textbook example exactly.
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 8-9 (pp 200-219, 2019 ed.)._
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