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Find the ratio in which the YZplane divi...

Find the ratio in which the YZplane divides the line segment formed by joining the points `(2, 4, 7)`and `(3, 5, 8)`.

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The correct Answer is:
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Let YZ-plane divides the line segment joining the points A(-2,4,7) and B (3,-5,8) in the ratio k : 1.
We know that at YZ-plane
x-coordinate=0
`implies (mx_(2)+nx_(1))/(m+n)=0`
`implies (k(3)+1(2))/(k+1)=0 implies k=(2)/(3)`
` therefore` Required ratio= 2 : 3
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