Find the harmonic mean of a/b and b/a. | vedclass

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(A) The harmonic mean $(HM)$ of two numbers $x$ and $y$ is given by the formula $HM = \frac{2xy}{x+y}$.Here,$x = \frac{a}{b}$ and $y = \frac{b}{a}$.Su

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$\frac{2ab}{a^2+b^2}$

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(A) The harmonic mean $(HM)$ of two numbers $x$ and $y$ is given by the formula $HM = \frac{2xy}{x+y}$.Here,$x = \frac{a}{b}$ and $y = \frac{b}{a}$.Substituting these values into the formula:$HM = \frac{2(\frac{a}{b})(\frac{b}{a})}{\frac{a}{b} + \frac{b}{a}}$$HM = \frac{2(1)}{\frac{a^2+b^2}{ab}}$$HM = \frac{2ab}{a^2+b^2}$.

Find the harmonic mean of $a/b$ and $b/a$.

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