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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

Text Solution

Verified by Experts

We have given the lines `x/1=y/2=z/3 and (x-1)/(-2)=(y-2)/(-4)=(z-3)/(-6)`
The line `x/1=y/2=z/3` can be written as
`(x-0)/1=(y-0)/2=(z-0)/3`
Then direction ratio of this line are (1,2,3)
And the line `(x-1)/(-2)=(y-2)/(-4)=(z-3)/(-6)` can be written as
`(x-1)/(1)=(y-2)/(2)=(z-3)/(3)`
Then direction ratio of this line are (1,2,3)
`implies` the given lines are coincident.
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