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KVPY Sample Paper KVPY Stream-SX Model Paper-26

  • question_answer
    If a, b, c are odd integers, then equation \[a{{x}^{2}}+bx+c=0\] cannot have

    A) imaginary roots

    B) real roots

    C) irrational roots

    D) rational roots

    Correct Answer: D

    Solution :

    We have, Let \[\frac{p}{q}\] is roots of \[a{{x}^{2}}+bx+c=0\]
    \[\therefore \,\,\,a{{\left( \frac{p}{q} \right)}^{2}}+b\left( \frac{p}{q} \right)+c=0\]
    \[a{{p}^{2}}+bpq+c{{q}^{2}}=0\] is never possible a, b, c are odd.


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