JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Solution of quadratic equations and Nature of roots

  • question_answer
    If \[{{x}_{1}},{{x}_{2}},{{x}_{3}}\] are distinct roots of the equation \[a{{x}^{2}}+bx+c=0\] then

    A) \[a=b=0,c\in R\]

    B) \[a=c=0,b\in R\]

    C) \[{{b}^{2}}-4ac\ge 0\]

    D) \[a=b=c=0\]

    Correct Answer: D

    Solution :

    Since quadratic equation \[a{{x}^{2}}+bx+c=0\]has three distinct roots so it must be an identity. So\[a=b=c=0\].


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