That's not possible, as it's actually not the option elements that are shown.
The HTML standard only specifies that the browser should provide some way of choosing from the options, not how that should be displayed. Therefore there is no standard way of getting any information about how it's displayed.
Regular browsers show the options as some kind of dropdown list, but other browsers may show it in a completely different way. Some mobile phone browsers for example shows a popup that covers the entire screen.
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