10th Class Mathematics Related to Competitive Exam Question Bank Quadratic Inequation

  • question_answer
    If \[|y{{|}^{2}}-3|y|+2\le 0\], then which of the following is the range of y?

    A)  \[[-6,6]\cup [1,3]\]         

    B)  \[[1,2]\]

    C)  \[[-2,-1]\]                      

    D)  \[[-2,-1]\cup [1,2]\]

    Correct Answer: D

    Solution :

    (d): \[\left( |y|-1 \right)\left( |y|-2 \right)\le 0\] \[\Rightarrow |y|\in [1,2]\] \[\Rightarrow y\in [-2,-1]\cup [1,2]\]


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