Q.

Equation of the line passing through the point  1,2,1and making angles  60°,45°,60°with axes respectively is

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a

x−11=y−22=z−11

b

x−11=y+22=z−11

c

2x−10=y−01=z−11

d

line does not exist

answer is A.

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Detailed Solution

If  α,β,γare the angles made by a line ‘L’ with the coordinate axes in the positive direction then direction cosines are l,m,n=cosα,cosβ,cosγHence, the direction cosines of the line which makes angles 60°,45°,60° with axes respectively is  12,12,12The direction ratios of the above line are proportional to1,2,1Therefore, the equation of the line passing through the point   1,2,1and having the direction ratios1,2,1  is  x−11=y−22=z−11
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Equation of the line passing through the point  1,2,1and making angles  60°,45°,60°with axes respectively is