10th Class Mathematics Related to Competitive Exam Question Bank Algebra

  • question_answer
    If \[x\] be real and positive, then the value of\[y=x+\frac{1}{x}\] satisfies

    A)  \[0<y\le 0.5\]       

    B)         \[0.5<y\le 1\]

    C)  \[1<y<2\]          

    D)         \[y\ge 2\]  

    Correct Answer: D

    Solution :

                    \[x+\frac{1}{x}={{\left( \sqrt{x}-\frac{1}{\sqrt{x}} \right)}^{2}}+2\ge 2\]


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