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find the coodinates of the point which divides the line segment joining(3,4)nd(-6,2)in the ratio 3:2 externally |
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Answer» Let the point P which divides the line segment joining (3,4) and (-6,2) in the ratio 3 :2 externally. we have , if two point (x₁ ,y₁) and (x₂, y₂) are divided by P(x, y) in the ratio m : n.Then, x = (mx₂ - nx₁)/(m - n) and y = (my₂ - ny₁)/(m - n) Here, (x₁ , y₁) = (3,4) (x₂ , y₂) = (-6,2) m : n = 3 : 2 Now, x = (3 × -6 - 2 × 3)/(3 - 2) = (-18 - 6)/1 = -24 y = (3 × 2 - 2 × 4)/(3 - 2) = (6 - 8)/1 = -2 Hence, P ≡( -24 , -2) |
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