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Comprehension2Considerthe system of linear equations `alphax+y+z=m x+alphay+z=n x+y+alphaz=p`If `alpha=1 & m!=p`then the system of linear equations has-a. no solution b. ` `infinite solutionsc. unique solution d. ` `unique solution `if p=n`A. The given system of equation has no solution if `alpha=-2` and `m+n+pne0`B. The give system of equation has no solution if `alpha=1` and `m ne n` or `n ne p` or `p ne m`C. The given system of equation has infinite solution if `alpha=-2` and `m+n+p=0`D. The given system of equation has unique solution if `alpha=1` or `-2` |
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Answer» Correct Answer - A::B::C `D|{:(alpha,1,1),(1,alpha,1),(1,1,alpha):}|=(alpha-1)^(2)(alpha+2)` `D_(1)=|{:(m,1,1),(n,alpha,1),(p,1,alpha):}|=(alpha-1)[m(alpha+1)-(n+p)]` `D_(2)=(alpha-1)[n(alpha+1)-(m+p)]` `D_(3)=(alpha-1)[p(alpha+1)-(m+n)]` |
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