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JEE Main & Advanced Mathematics Sets Question Bank Mock Test - Sets

  • question_answer
    If y =\[\left| x \right|+\left| x-1 \right|\]. then for x \[\le \] 0, y is equal to

    A) 2x-l                  

    B) 1

    C) 1 - 2x

    D) x + 1

    Correct Answer: C

    Solution :

    [c]\[y=\left| x \right|+\left| x-1 \right|,x\le 0.\]when \[x\le 0,\left| x \right|=-x\]and \[\left| x-1 \right|=1-x\therefore =\left| x \right|+\left| x-1 \right|=-x+1-x=1-2x.\]  


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