InterviewSolution
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InterviewSolution
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If A(log2 8, log5 25) and B(log10 10, log10 100), then the mid-point of AB is A) (2, 2) B) (3, 2) C) (1, 2) D) (4, 4) |
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Answer» Correct option is (A) (2, 2) \(\because\) \(log_2\,8=log_2\,2^3\) \(=3\,log_2\,2=3\) \((\because log_a\,a=1)\) \(log_5\,25=log_5\,5^2\) \(=2\,log_5\,5=2\) \(log_{10}\,10=1\) and \(log_{10}\,100=log_{10}\,10^2\) \(=2\,log_{10}\,10=2\) \(\therefore\) \(A=(log_2\,8,log_5\,25)=(3,2)\) & \(B=(log_{10}\,10,log_{10}\,100)=(1,2)\) \(\therefore\) Mid-point of AB is mid-point of (3, 2) & (1, 2) \(=(\frac{3+1}2,\frac{2+2}2)\) \(=(\frac{4}2,\frac{4}2)=(2,2)\) Correct option is A) (2, 2) |
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