2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Complex Numbers and Quadratic Equations

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

  • question_answer
    If \[3+4i\] is a root of the equation \[{{x}^{2}}+px+q=0\] (p, q are real numbers), then [EAMCET 1985]

    A) \[p=6,q=25\]

    B) \[p=6,q=1\]

    C) \[p=-6,q=-7\]

    D) \[p=-6,q=25\]

    Correct Answer: D

    Solution :

    Since \[3+4i\] is a root of the equation \[{{x}^{2}}+px+q=0,\] therefore its other root is \[3-4i\] Now sum of the roots\[=-p\]and product of the roots = q Therefore\[p=-6,q=25\].


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