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If the lines (x-2)/(1)=(y-3)/(1)=(z-4)...

If the lines ` (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) ` and ` (x-1)/(k)=(y-4)/(2)=(z-5)/(1) ` are coplanar, then find the value of k.

A

`lamda=-1`

B

`lamda=2`

C

`lamda=-3`

D

`lamda=0`

Text Solution

Verified by Experts

The correct Answer is:
a,d
The given lines intersect if
`" "|{:(2-1,,3-4,,4-5),(1,,1,,lamda),(lamda,,2,,1):}|=0 rArr lamda=0, -1`.
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