Question

why real image is always inverted​

Answer 1

A real image occurs where rays converge, whereas a virtual image occurs where rays only appear to converge. Real images can be produced by concave mirrors and converging lenses, only if the object is placed further away from the mirror/lens than the focal point and this real image is inverted.

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Answer 2

REAL IMAGES ARE ALWAYS FORMED BELOW THE PRINCIPAL AXIS, SO THESE ARE INVERTED WHEREAS VIRTUAL IMAGES ARE FORMED ABOVE THE PRINCIPAL AXIS SO THESE ARE ALWAYS ERECT.