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Points A(1, -1), B(5, 3) and C are such that B divides AC in ratio 2:3 (A to C).
Find the coordinates of C.

Class 10Section FormulaGeometry — Coordinates

A(11, 9)
B(9, 7)
C(7, 5)
D(13, 11)

Step-by-Step Solution

B = (\frac{2 \cdot C x + 3 \cdot 1}{5}, \frac{2 \cdot C y + 3 \cdot ( - 1 )}{5}) = (5, 3) .2 C x + 3 = 25 \Rightarrow C x = 11

;

2 C y - 3 = 15 \Rightarrow C y = 9. C = (11, 9)

.

Answer: A) (11, 9)

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