ii) Find the ratio in which the line segment joining the points A(3,5) and B(-9,3) is divided by the Y-axis
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Answer:
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We have to find the ratio in which the line segment joining the points A(3, 5) and B(-9, 3) is divided by the y - axis.
solution : The line segment joining the points A(3, 5) and B(-9, 3) is divided by the y - axis.
at y - axis , x = 0
using section formula,
x = (mx₂ + nx₁)/(m + n)
here x = 0, x₁ = 3 and x₂ = -9
⇒0 = (m × -9 + n × 3)/(m + n)
⇒0 = -9m + 3n
⇒m/n = 1/3
Therefore the ratio in which the line segment is divided by y - axis is 1 : 3.
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