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