If sin α and cos α are the roots of the equation ax2 +bx+c=0, then

If sin α and cos α are the roots of the equation ax2 +bx+c=0, then

  1. A

    a2b2+2ac=0

  2. B

    (ac)2=b2+c2

  3. C

    a2+b22ac=0

  4. D

    a2+b2+2ac=0

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    Solution:

    . Since, sin α and cos α are the roots of the equation ax2+ bx+ c=0, then,
    sinα+cosα=ba and sinαcosα=ca
    To eliminate α we have
    1=sin2α+cos2α
         1=(sinα+cosα)22sinαcosα    1=b2a22ca     a2b2+2ac=0

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