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Question

IfA(1,2,-1)andB(-1,0,1) are given, then the co-ordinates of P which divides AB externally in the ratio 1:2 are


A

(1,4,1)

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B

(3,4,3)

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C

13(3,4,3)

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D

Noneofthese

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Solution

The correct option is B

(3,4,3)


Explanation for correct option:

Finding coordinates:

If a point P(x,y,z) is externally divide the line in the ration m:nthen the coordinate of point is given by

x=mx1-nx2m-n,y=my1-ny2m-n,z=mz1-nz2m-n

Here, x1=1,y1=2,z1=-1&x2=-1,y2=0,z2=1m:n=1:2

Now put the value in the above equation

x=2×1-1×(-1)2-1,y=2×2-1×02-1,z=-1×2-1×12-1x=3,y=4,z=-3Pointsare(3,4,-3)

Hence, correct option is (B).


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