KVPY Sample Paper KVPY Stream-SX Model Paper-11

  • question_answer
    If the system of linear equation \[x-4y+7z=g,\] \[3y-5z=h,\]\[-\,2x+5y-\,9z=k\]is consistent, then:

    A) \[g+h+k=0~~\]

    B) \[2g+h+k=0\]

    C) \[g+h+2k=0~~~\]

    D) \[g+2h+k=0\]

    Correct Answer: B

    Solution :

    \[{{P}_{1}}=x-4y+7z-g=0\]
    \[{{P}_{2}}=3x-5y-h=0\]
    \[{{P}_{3}}=-2x+5y-9z-k=0\]
    Here,     \[\Delta =0\]
                \[2{{P}_{1}}+{{P}_{2}}+{{P}_{3}}=0\]
    when     \[2g+h+k=0.\]


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