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

Lines whose equation are `(x-3)/2=(y-2)/3=(z-1)/(lamda)` and `(x-2)/3=

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. 3B. `pi-3`C. 4D. `pi-4`
Answer» Correct Answer - D Given lines are `(x-3)/(2)=(y-2)/(3)=(z-1)/(lambda).....(i)` `and (x-2)/(3)=(y-3)/(2)=(z-2)/(3)......(ii)` These lines lie in the same plane. So, both lines are coplanar. `therefore \|{:(,3-2,2-3,1-2),(,2,3,lambda),(,3,2,3):}\|=0` `Rightarrow \|{:(,1,-1,-1),(,2,3,lambda),(,3,2,3):}\|=0` `Rightarrow 2(-3+2)-3(3+3)+lambda(2-3)=0` `Rightarrow -2-18+5lambda=0 Rightarrow 5lambda=20` `Rightarrow lambda=4` `therefore sin^(-1) sin lambda=sin^(-1)sin4=sin^(-1) sin(pi-4)=pi-4`

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

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