Match the following lists:

Options

A. 3,1,2,4
B. 2,3,4,1
C. 4,1,2,3
D. 2,4,3,1

Answer

C

Explanation

Lines in (p) are intersecting
as `|{:(1-1,2-3,3-5),(2,3,4),(3,4,5):}|=0`
Clearly, lines in (q) have same direction ratios. Also, points on line are `(2a+1,3a+2,4a+3)` and `(2b+3,3b+5,4b+7)`
For a=0 and b=-1, we get common point (1,2,3)
So these lines are coincident.
Lines in (r) are parallel, but not coincident as points `(5a+2,4a-3,5-2a)` and `(5b+7,4b+1,2-2b)` do not match for any values of a and b.
Lines in (s) are skew lines are
`|{:(3-3,-2-2,4-7),(2,3,5),(3,2,5):}| ne 0`.