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Question

Find the ratio in which the line segment joining the points $$(4, 8, 10)$$ and $$(6, 10, -8)$$ is divided by $$YZ-Plane$$.


Solution

Let the point of intersection on $$yz$$ plane be $$(0, y, z)$$
By section formula,
$$0 = \dfrac{6k+4}{k+1} \Rightarrow k = -\dfrac{4}{6} = -\dfrac{2}{3}$$
line is divide in ration $$2:3$$ externally

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