virtual and real image

we all know what is a virtual image and what is a real image.......

now in a mirror and a lens all the images whenever v is formed after the mirror it is a virtual image but in some cases even the negative images or the images formed in the same side of the object are virtual.......

but how do we identify them....obviously one method is to memeorise the ray diagrame but isnt it too lengthy and cumbrous

does any one know any mathematical formula to solve these sums?

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