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Q.

The distance of point 2,3,4 from the x-axis is k. The direction ratios of the line joining two points k+1,k−3,k , 1,−3,0 are

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a

5,5,5

b

1,1,1

c

k2,k2,k2

d

2,3,4

answer is B.

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Detailed Solution

The length of the distance from the point Pa,b,c from x-axis isb2+c2Hence, k=32+42=5The given points are6,2,5,1,−3,0The direction ratios of the line joining the points Ax1,y1,z1and Bx1,y1,z1 isx2−x1,y2−y1,z2−z1Therefore, the direction ratios of the line joining the points 6,2,5,1,−3,0  is −5,−5,−5=1,1,1
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The distance of point 2,3,4 from the x-axis is k. The direction ratios of the line joining two points k+1,k−3,k , 1,−3,0 are