11th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-9

  • question_answer
    Statement 1 : The expression \[\frac{{{a}^{n+1}}+{{b}^{n+1}}}{{{a}^{n}}+{{b}^{n}}}\] is G.M. of a and b. So n is zero.
    Statement 2 : If a and b are two numbers of opposite signs, then G.M. between them does not exist.

    A)  Both Statement 1 and Statement 2 are true and Statement 2 is correct explanation of Statement 1.

    B)  Both Statement 1 and Statement 2 are true but Statement 2 is not correct explanation of Statement 1.

    C)  Statement 1 is true, Statement 2 is false.

    D)  Statement 1 is false, Statement 2 is true.

    Correct Answer: D


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