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The lines x/1=y/2=z/3 and (x-1)/(-2)=(y-...

The lines `x/1=y/2=z/3 and (x-1)/(-2)=(y-2)/(-4)=(z-3)/(6)are`

A

intersecting

B

coincident

C

parallel

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Any point on the line `x/1=y/2=z/3=r" is "(r,2r,3r)` which lies in the second line, if `(r-1)/(-2)=(2r-2)/(-4)=(3r-3)/(-6)`
i.e, if r-1=r-1=r-1 which is true `AA` all real values of r, hence two lines are coincident.
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