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Question

If x coordinates of a point P of the line joining the points Q(2,2,1)andR(5,2,-2) is 4, then the z-co-ordinates of P is:


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


Explanation for the correct option.

The given points are Q(2,2,1)andR(5,2,-2)

Equation of the line passing through the points QandR will be:

x-23=y-20=z-1-3=λByEquationoflineisx-x1x2-x1=y-y1y2-y1=z-z1z2-z1x-23=λx=3λ+24=3λ+2λ=23

Now, the z-co-ordinate will be

z-1-3=λz-1-3=23z=-1

Hence, option B is correct.


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