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Q.

Equation of line passing through the point 1,0,−3and parallel to a line whose direction ratios are 1,2,2 is

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a

x−31=y−62=z−23

b

x−11=y−20=z−2−3

c

x−11=y2=z+32

d

x1=y2=z2

answer is C.

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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,c isx−x1a=y−y1b=z−z1cHere the given point is  1,0,−3and the direction ratios are1,2,2Therefore, the equation of the required line is x−11=y2=z+32
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Equation of line passing through the point 1,0,−3and parallel to a line whose direction ratios are 1,2,2 is