11th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-3

  • question_answer
    If \[\mathbf{y=1}{{\mathbf{0}}^{\mathbf{x}}}\] is the reflection of \[\mathbf{y}=\mathbf{lo}{{\mathbf{g}}_{10}}\mathbf{x}\] in the line whose equations is:

    A)  \[\mathbf{y}=-x\]                    

    B)  \[\mathbf{y}=x\]         

    C)  \[x-2y=0\]       

    D)  \[x+2y=0\]

    Correct Answer: B

    Solution :

    [b] \[\because y={{10}^{x}}\] And \[y=lo{{g}_{10}}x\] \[{{10}^{y}}=x\] Hence, option [b] is correct.

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