Q.

Equation of line passing through the point 0,0,0and parallel to a line whose direction ratios are 2,3,4 is

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a

x2=y3=z4

b

x−20=y−30=z−43

c

x−22=y−33=z−44

d

x−20=y−30=z−40

answer is A.

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Detailed Solution

The equation of the line passing through the point  x1,y1,z1and parallel to the line whose direction ratios are a,b,cisx−x1a=y−y1b=z−z1cHere the given point is  0,0,0and the direction ratios are2,3,4Therefore, the equation of the required line isx2=y3=z4
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