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Question

Find the point on Z-axis which are at a distance 21 unit from the point(1,2,3)

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Solution

Let the point on Z axis be given as (0,0,z). The distance between (1,2,3) and (0,0,z) is given as 12+22+(3z)2=21
5+(3z)2=21
z26z7=0
z=7,z=1
Hence points are (0,0,7),(0,0,1)

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