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Questions  

The equation of line which is parallel to the line x23=y+11=z19  and also passing through the point (3,0,5)  is 

a
x=y=z
b
x−12=y−23=z−11
c
x−33=y−01=z−59
d
x−12=y6=z−3−1

detailed solution

Correct option is C

The equation of the line passing through the point   (x1,y1,z1)and parallel to the line whose direction ratios are ⟨a,b,c⟩is x−x1a=y−y1b=z−z1cTherefore, the equation of the line passing through the point (3,0,5) and parallel to the line whose direction ratios are ⟨3,1,9⟩ is x−33=y−01=z−59

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