1.

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 toA. `3`B. `pi-3`C. `4`D. `pi-4`

Answer» Correct Answer - D
Line are in same plane to
`|(1, -1, -1),(2, 3, lamda),(3, 2, 3)|=0implies1(9-2lamda)+1(-3lamda)-1(-5)=0`
`20-5lamda=0implieslamda=4`
So `sin^(-1)sin4=sin^(-1)sin(pi-4)=pi-4`


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