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JEE Main & Advanced Sample Paper JEE Main Sample Paper-33

  • question_answer
    If the system of equations
    \[x+2y+2z=1\]
    \[x-y+3z=3\]
    \[x+11y-z=b\]
    has solutions, then the value of b lies in the interval

    A)  \[(-7,-4)\]

    B)     \[\left( -4,0 \right)\]

    C)  \[\left( 0,3 \right)\]  

    D)                     \[\left( 3,6 \right)\]

    Correct Answer: A

    Solution :

    \[x+2y+2z=1\]                       ?[a]             \[x-y+3z=3\]                           ?[b]             \[x+11y-z=b\]             ?[c] From [a] and [b] \[z=2+3y\] and \[x=-8y-3\] Put in equation [c] \[\Rightarrow \,b=-5\]


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