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The sum of two non-zero numbers is 8,...

The sum of two non-zero numbers is 8, the minimum value of the sum of their reciprocals is `1/4` (b) `1/2` (c) `1/8` (d) none of these

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Verified by Experts

Let `x` and `y` be two numbers
\Rightarrow `x+y=8`
Assume `z` be be sum of their inverse
`z=1 / x+1 / y=\frac{x+y}{x y}=\frac{8}{x y}=\frac{8}{x(8-x)}` ...
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