Multiple Choice Questions on It is given that the two equations ax sup2 bx c and cx sup2 bx a have one negative common root ........... for CDS Exam Preparation

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Multiple Choice Questions

It is given that the two equations ax sup2 bx c and cx sup2 bx a have one negative common root ...........

Quantitative Aptitude (CDS) Quadratic Equations
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    It is given that the two equations ax²+bx+c  and cx²+bx+a have one negative common root then find a condition on a, b, c.

    c = a + b

    Incorrect Answer

    2b = a + c 

    Incorrect Answer

    a = b + c

    Incorrect Answer

    b = a + c 

    Correct Answer
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    Explanation:

    let the common root = α
    aα²+bα+c=0       ……….. (1)
     -cα²+bα+a=0
    On solving α=-1 putting this in equation (1)
    We get  b = a + c 

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