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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

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a

5,5,5

b

1,1,1

c

k2,k2,k2

d

2,3,4

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detailed solution

Correct option is B

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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