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

  • question_answer
    The roots of the quadratic equation \[(a+b-2c){{x}^{2}}-(2a-b-c)x+(a-2b+c)=0\]  are

    A) \[a+b+c\]and \[a-b+c\]

    B) \[\frac{1}{2}\]and \[a-2b+c\]

    C) \[a-2b+c\]and \[\frac{1}{a+b-x}\]

    D) None of these

    Correct Answer: D

    Solution :

    One of the roots of the given equation is x\[=1\], as the sum of the coefficient is zero.


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