BCECE Engineering BCECE Engineering Solved Paper-2015

  • question_answer
    If the roots of the equation \[{{x}^{2}}\text{ }-\text{ }px\text{ }+\text{ }q\text{ }=\text{ }0\]differ by unity, then

    A) \[{{\text{p}}^{\text{2}}}\text{ }=\text{4q}\]                       

    B) \[{{p}^{2}}=4q+1\]

    C) \[{{p}^{2}}=4q-1\]          

    D) None of these

    Correct Answer: B

    Solution :

    Let the roots be \[\alpha \]and \[\alpha +1\] Then, \[\alpha +\alpha +1=p\] \[\Rightarrow \]               \[\alpha =\frac{p-1}{2}\]                                               ? (i) and        \[\alpha (\alpha +1)=q\] \[\Rightarrow \]               \[{{\alpha }^{2}}+\alpha =q\]                                      ? (ii)


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