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If the straighat lines x=1+s,y=-3-lamdas...

If the straighat lines `x=1+s,y=-3-lamdas,z=1+lamdas and x=t/2,y=1+t,z=2-t` with parameters s and t respectively, are coplanar, then `lamda` equals

A

`(-1)/(2)`

B

`-1`

C

`-2`

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
Given lines can be rewritten as
`(x-1)/(1)=(y+3)/(-lamda)=(z-1)/(lamda)` . . .(i)
`and" "(x-0)/(1//2)=(y-1)/(1)=(z-2)/(-1)` . . .(ii)
For lines to be coplanar,
`|{:(0-1,1+3,2-1),(1,-lamda,lamda),(1//2,1,-1):}|=0`
`rArr" "|{:(-1,4,1),(1,-lamda,lamda),(1//2,1,-1):}|=0`
`rArr" "lamda=-2`
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