12th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-6

  • question_answer
    Which of the following is correct?

    A)  B'AB is symmetric if A is symmetric.

    B)  B'AB is skew symmetric if A is skew symmetric.

    C)  B'AB is symmetric, if A is skew symmetric.

    D)  Both  and

    Correct Answer: D

    Solution :

    [a] Let a and x be the 1st term and common ratio of the G.P respectively. \[l=a{{x}^{p-1}}\Rightarrow \log a=loga+(p-1)logx\] \[m=a.{{x}^{q-1}}\Rightarrow logm=loga+\left( q-1 \right)logx\] \[n=a.{{x}^{r-1}}\Rightarrow \log n=\log a+(r-1)\log x\] \[=0+logx\times 0=0\] Hence, option [a] is correct.


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