MathematicsIf pr = 2 (q + s) then among the equations x2+px+q = 0 and x2 + rx + s = 0

If pr = 2 (q + s) then among the equations x2+px+q = 0 and x2 + rx + s = 0

  1. A

    both have real roots

  2. B

    both have imaginary roots

  3. C

    at least one has real roots

  4. D

    at least one has imaginary roots

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    Solution:

    Δ1+Δ2=p2+r24(q+s)=p2+r22pr =(pr)20at least one is+ve

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