Image distances for a convex mirror are always [[1]] because the image is always formed behind the mirror.

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Detailed Solution

Image distances for a convex mirror are always positive because the image is always formed behind the mirror.
Cartesian Sign Convention: In the case of the spherical mirror, all signs are taken from the Pole of the spherical mirror, which is often called the origin or origin point. This sign convention is known as New Cartesian Sign Convention.
The sign is taken as – (negative) from the pole of a spherical mirror towards an object along the principal axis. This means the sign is always taken as – (negative) in front of a spherical mirror. For example, the object's distance is always taken as – (negative) in the case of both types of a spherical mirrors, i.e. concave and convex mirrors. Question Image

In the case of a convex mirror, images are always formed behind the mirror, thus the distance of the image is taken as positive.

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