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J & K CET Engineering J and K - CET Engineering Solved Paper-2006

  • question_answer
    If the roots of \[{{x}^{3}}-3{{x}^{2}}-6x+8=0\]  are in arithmetic progression, then the roots of the equation are

    A)  \[3,4,5\]        

    B)  \[4,7,10\]

    C)  \[-2,1,4\]       

    D)  \[1,4,7\]

    Correct Answer: C

    Solution :

    Sum of the roots \[=-\frac{b}{a}=-\frac{(-3)}{1}=3\] From the given options only  ie, \[-2,1,4\] satisfies this condition.


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