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Questions  

Equation of line passing through the point (0,0,0)and equally inclined to the coordinate axes is 

a
x=y=z
b
x−12=y−23=z−11
c
x−13=y−06=z−32
d
x−12=y6=z−3−1

detailed solution

Correct option is A

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−z1cHere the given point is  (0,0,0) and the direction ratios are  ⟨1,1,1⟩ because this line makes equal angles with axes. Therefore, the equation of the required line is x=y=z

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