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

  • question_answer
    If \[3{{p}^{2}}=5p+2\] and \[3{{q}^{2}}=5q+2\], where , then pq is equal to

    A) \[\frac{2}{3}\]

    B) \[-\frac{2}{3}\]

    C) \[\frac{3}{2}\]

    D) \[-\frac{3}{2}\]

    Correct Answer: B

    Solution :

    According to the given conditions, p and q are the roots of equation \[3{{x}^{2}}-5x-2=0\]. Therefore\[p.q=-\frac{2}{3}\].


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