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प्रश्न
Find the coordinates of point P if P divides the line segment joining the points A(–1, 7) and B(4, –3) in the ratio 2 : 3.
उत्तर
Let (x1, y1) = (–1, 7) and (x2, y2) = (4, –3), m : n = 2 : 3.
According to the section formula,
`x = (mx_2 + nx_1)/(m + n)`
`x = (2 × 4 + 3 × (–1))/(2 + 3)`
`x = (8 – 3)/5`
`x = 5/5`
∴ `x = 1`
`y = (my_2 + ny_1)/(m + n)`
`y = (2 × (–3) + 3 × 7)/(2 + 3)`
`y = (–6 + 21)/(5)`
`y = (15)/(5)`
∴ y = 3
∴ The coordinate of points p is (1, 3).
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