If the ratio in which the XY plane divides the line joining the points (2, 4, 5) and (–4, 3, –2) is k: 1, then find the value of 10k

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Solution

Let xy plane divide the line joining the points in the ratio k:1
For a point on x-y plane, z-coordinate must be zero
Z coordinate = 0
–2k + 5 = 0
2k = 5
$k = \frac{5}{2}$
= 2.5
$\Rightarrow$ 10k = 25

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