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The average of the reciprocals of x and y is-

a) $$\frac{(x + y)}{(x – y)}$$
b) $$\frac{(x + y)}{2xy}$$
c) $$\frac{2(x + y)}{xy}$$
d) $$\frac{2xy}{(x + y)}$$

Answer: b
Explanation: Required average
$$\eqalign{ & = \frac{{\left( {\frac{1}{x} + \frac{1}{y}} \right)}}{2} \cr & = \frac{{x + y}}{{2xy}} \cr} $$

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