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If the straight lines (x-1)/(k)=(y-2)/(2...

If the straight lines `(x-1)/(k)=(y-2)/(2)=(z-3)/(3) and (x-2)/(3)=(y-3)/(k)=(z-1)/(2)` intersect at a point, then the integer `k` is equal to

A

`2`

B

`-2`

C

`-5`

D

`5`

Text Solution

Verified by Experts

The correct Answer is:
C
If given lines intersect, then they are coplanar.
`:.|(1-2,2-3,3-1),(k,2,3),(3,k,2)|=0`
`implies-(4-3k)+(2k-9)+2(k^(2)=6)=0`
`implies2k^(2)+5k-25=0implies(k+5)(2k-5)=0impliesk=-5,5//2`.
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