Q.

The symmetric form of the line passing through a point 1,0,3 and having direction ratios ⟨1,0,3⟩ is

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a

x−1=y=3(z−3)

b

x−11=y0=z+33

c

x−11=y0=z−33

d

x−1=y=-3(z−3)

answer is C.

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Detailed Solution

The equation of a line which is passing through the point (x1,y1,z1) and having direction ratios ⟨a,b,c⟩  is x−x1a=y−y1b=z−z1cTherefore, the equation of a line which is passing through the point 1,0,3 and having direction ratios ⟨1,0,3⟩  is x−11=y0=z-33
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