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Lines whose equation are `(x-3)/2=(y-2)/3=(z-1)/(lamda)` and `(x-2)/3=(y-3)/2=(z-2)/3` lie in same plane, then.
The value of `sin^(-1)sinlamda` is equal to

A

`3`

B

`pi-3`

C

`4`

D

`pi-4`

Text Solution

Verified by Experts

The correct Answer is:
D
Line are in same plane so
`|{:(1,-1,-1),(2,3,lamda),(3,2,3):}|=0implies1(9-2lamda)+1(6-3lamda)-1(-5)=0`
`20-5lamda=0lamda=4`
So `sin^(-1)sin4=sin^(-1)sin(pi-4)=pi-4`
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