The lines `6x=3y=2z and (x-1)/(-2)=(y-2)/(-4)=(z-3)/(-6)` re (A) parallel (B) skew (C) intersecting (D) coincident

Explanation

We have given the lines `6x=3y=2z and (x-1)/(-2)=(y-2)/(-4)=(z-3)/(-6)`

The line `6x=3y=2z ` 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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