10th Class Mathematics Quadratic Equations Question Bank Quadratic Equations

  • question_answer
    Find the value of 'p' so that\[{{x}^{2}}+5px+16=0\]has no real root.

    A)  Greater than\[\frac{8}{5}\]

    B)  Less than\[\frac{-8}{5}\]

    C)  Lies between\[\frac{-8}{5}\]and\[\frac{8}{5}\]

    D)  Less than\[\frac{15}{8}\]

    Correct Answer: C

    Solution :

     Given\[\frac{1}{\alpha }\]has no real root \[\frac{1}{\alpha }\]        \[\therefore \] \[\therefore \]  \[=\alpha \times \frac{1}{\alpha }=1\] \[=\alpha \times \frac{1}{\alpha }=1\]    \['x'\] \[1441\times x=5040\times 12\]p lies between\[\Rightarrow \]and\[x=\frac{5040\times 12}{144}=420\] .


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