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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2011

  • question_answer
    The number of real roots of the equation\[|x{{|}^{2}}-3|x|+2=0\]is

    A)  1                            

    B)         2      

    C)  3                            

    D)         6

    E)  4

    Correct Answer: E

    Solution :

    Equation, \[|x{{|}^{2}}-3|x|+2=0\] \[\Rightarrow \]               \[(|x|-1)(|x|-2)=0\] \[\Rightarrow \]               \[|x|=1,2\] \[\Rightarrow \]               \[x=\pm \text{ }1,\pm \text{ }2\] So, number of real roots = 4


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