Why can't the focus of a plane mirror be virtual like in a concave mirror?

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SUMMARY

The focus of a plane mirror is defined as being at infinity because the reflected rays do not converge or intersect. Unlike concave mirrors, which have a real focal point where light rays converge, plane mirrors reflect light in such a way that the rays remain parallel after reflection. This leads to the conclusion that the focal point of a plane mirror cannot be virtual, as it does not create a point of convergence like a concave mirror does. The discussion emphasizes the paradoxical nature of defining infinity in optical terms.

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I read somewhere that the focus of a plane mirror is at infinity because rays after reflection from a plane mirror don't intersect anywhere. But why can't the focus be virtual as in case of concave mirror ?
 
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Sam Morse said:
I read somewhere that the focus of a plane mirror is at infinity because rays after reflection from a plane mirror don't intersect anywhere. But why can't the focus be virtual as in case of concave mirror ?

When considering where the focal point is we use two parallel rays of light incident on the mirror, how will these two rays be reflected from a plane mirror?
 
Sam Morse said:
I read somewhere that the focus of a plane mirror is at infinity because rays after reflection from a plane mirror don't intersect anywhere. But why can't the focus be virtual as in case of concave mirror ?
The two parallell rays of light we use to determine the focal distance will still be parallell and with the same distance from each other at infinity.
Saying that the focal point is present at infinity is a nonsense paradox of the terminology infinity just as my above explanation. The focal point could likely be behind the mirror, saying that the two parallell rays would be separated infinitly from each other at infinity in front of the mirror.
 

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