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Question

If x co-ordinates of a point P of line joining the points Q(2, 2, 1) and R(5, 2, -2) is 4, then the z-coordinates of P is
[RPET 2000]


A

-2

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B

-1

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C

1

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D

2

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Solution

The correct option is B

-1


Suppose P divides QR in the ratio λ:1.
Then co-ordinates of P are (5λ+2λ+1,λ+2λ+1,2λ+1λ+1.)
It is given that the x-coordinate of P is 4. i.e., 5λ+2λ+1=4 λ=2,
So, z-coordinate of P is 2λ+1λ+1=4+12+1=1.


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