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A point C with z-coordinate 8 lies on th...

A point C with z-coordinate 8 lies on the line segment joining the point `A(2,-3,4)\ a n d\ B(8,0, 10)dot` Find its coordinates.

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Suppose C divides AB in the ratio` k : 1` The z coordinates of C are 8
Then,` (10k+4)/(k+1)=8`
`=> 10k+4=8k+8`
`⇒2k=4`
...
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