JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Relation between roots and coefficients

  • question_answer
    If the roots of equation \[{{x}^{2}}+px+q=0\] differ by 1, then [MP PET 1999]

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

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

    C) \[{{p}^{2}}=4q-1\]

    D) None of these

    Correct Answer: B

    Solution :

    Let the roots of the equation be\[\alpha ,\beta \] Given \[\alpha -\beta =1\] \ \[{{(\alpha -\beta )}^{2}}={{(\alpha +\beta )}^{2}}-4\alpha \beta \] Þ \[{{(1)}^{2}}={{(-p)}^{2}}-4q\] \ \[{{p}^{2}}=4q+1\].


You need to login to perform this action.
You will be redirected in 3 sec spinner