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10th Class Mathematics Related to Competitive Exam Question Bank Algebra

  • question_answer
    If \[p+q=1\] and the ordered pair (p, q) satisfies \[3x+2y=1\], then it also satisfies

    A)  \[3x+3y=3\]         

    B)         \[5x+4y=4\]

    C)  \[5x+4y=4\]       

    D)         None of these

    Correct Answer: A

    Solution :

                    \[p+q=1\] \[\therefore \]  \[q=1-p\] ordered pair \[(p,\,\,q)\] satisfies                 \[3x+2y=1\] it means if \[x=p\]and \[y=q\] then      \[3p+2q=1\] or            \[3p+2(1-p)=1\] \[\therefore \]  \[p=-1\]and\[q=2\] Hence \[3x+3y=3\] is satisfied, if \[x=p\] and\[y=q\]


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