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If the lines `(x-2)/(1)=(y-3)/(1)=(z-4)/(lamda)` and `(x-1)/(lamda)=(y-4)/(2)=(z-5)/(1)` intersect thenA. `lamda=-1`B. `lamda=2`C. `lamda=-3`D. `lamda=0` |
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Answer» Correct Answer - A::D The two lines will intersect only if the shortest distance between them is zero. `implies(veca_(2)-veca_(1)).(vecb_(1)xxvecb_(2))=0` `|{:(1,-1,-1),(1,2,lamda),(lamda,2,1):}|=0` `implies(1-2lamda)+(1-lamda^(2))-1(2-lamda)=0` `implies-lamda^(2)-lamda=0` `implieslamda=0` or `lamda=-1` |
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