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Question
The coordinates of the point P dividing the line segment joining the points A (1, 3) and B(4, 6) in the ratio 2 : 1 are
Options
(2, 4)
(3, 5)
(4, 2)
(5, 3)
Solution
It is given that P divides the line segment joining the points A(1, 3) and B(4, 6) in the ratio 2 : 1.
Using section formula, we get
Coordinates of P \[= \left( \frac{2 \times 4 + 1 \times 1}{2 + 1}, \frac{2 \times 6 + 1 \times 3}{2 + 1} \right) = \left( \frac{9}{3}, \frac{15}{3} \right) = \left( 3, 5 \right)\]
Thus, the coordinates of P are (3, 5).
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