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10th Class Mathematics Related to Competitive Exam Question Bank Algebra

  • question_answer
    In solving an equation of the form \[ax+b=0\] (a, b having only 1 as the common factor). A made a mistake in copying 6 and got \[\frac{7}{3}\] as the root whereas B made a mistake in copying a and got \[\frac{8}{5}\] as the root. The correct root is

    A) \[\frac{7}{5}\]                                   

    B) \[\frac{3}{8}\]

    C) \[\frac{8}{3}\]                     

    D)        \[\frac{8}{5}\]

    Correct Answer: C

    Solution :

    \[ax+b=0\], (\[a,\,\,b\] having only \[1\] as the common factor). A made a mistake in copying \[b\] and got\[\frac{7}{3}\]. \[\therefore \]  \[x=-\frac{b}{a}=\frac{7}{3}\] \[B\] made a mistake in copying \[a\] and got\[\frac{8}{5}\]. \[\therefore \]  \[x=-\frac{b}{a}=\frac{8}{5}\] \[\therefore \]  \[b=-8\] Hence correct root\[=-\frac{b}{a}=\frac{8}{3}\]


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