alleryThe point dividing the segment joining (1, 6) and (11, 2) in the ratio 3 : 5 (counting from the first point) has coordinates:
A(7, 4½)
B(5, 4)
C(6, 3)
D(4¾, 4½)
Answer & Solution
Correct answer: D. (4¾, 4½)
1. From (1, 6) to (11, 2) the x-change is +10 and the y-change is −4.
2. The dividing point sits 3/(3+5) = 3/8 of the way along.
3. x = 1 + 10 × 3/8 = 1 + 30/8 = 4¾.
4. y = 6 + (−4) × 3/8 = 6 − 12/8 = 6 − 1½ = 4½.
5. So the dividing point is (4¾, 4½).
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 8-9 (pp 200-219, 2019 ed.)._
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