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

  • question_answer
    If \[a,b,c\in Q\], then roots of the equation\[(b+c-2a){{x}^{2}}+\] \[(c+a-2b)x+(a+b-2c)=0\] are

    A) Rational

    B) Non-real

    C) Irrational

    D) Equal

    Correct Answer: A

    Solution :

    Here\[(b+c-2a)+(c+a-2b)+(a+b-2c)=0\] Therefore the roots are rational.


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