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Question

xy plane divides the line joining the points (2, 4, 5) and (−4, 3, −2) in the ratio


A

3:5

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B

5:2

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C

1:3

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D

3:4

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Solution

The correct option is B

5:2


Given points are A(2,4,5) and B(4,3,2) Let xy plane divides the

line joining the points in the ratio of k:1

For x-y plane, z-coordinate must be zero

k(2)+1(5)k+1=0

2k+5=0

2k=5

k=52

So,xy plane divides the joining the points (2,4,5)

and (-4,3,-1) in the ratio of 5:2


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