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What are the coordinates of the point which divides the line segment with end points (–2, 8) and (10, 4) in the ratio 1:3?

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(1, 5)

(7, 1)

(5, 1)

(1, 7)

answer is A.

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Detailed Solution

Here, m₁ = 1, m₂ = 3; x₁ = –2, y₁ = 8; x₂ = 10, y₂ = 4

$∴ x = \frac{1 \times 10 + 3 \times (- 2)}{1 + 3} = \frac{10 - 6}{4} = 1$

and,

$y = \frac{1 \times 4 + 3 \times 8}{1 + 3} = \frac{4 + 24}{4} = 7$

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