With the help of a ray diagram explain why a convex mirror is preferred for rear view mirrors in motor cars.

Understand that the nature of images in concave mirrors vary from real and inverted to erect and virtual depending on distance between the mirror and objects. But for all the distances in case of convex mirrors the image formed is erect and virtual. Again note that the virtual images can be seen in the mirrors itself.
The ray diagrams as depicted in CBSE book, explains the same.
For concave mirrors



For convex mirrors

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