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Suppose you place your face in front of a concave mirror. A)Your image will always be inverted. B) Your image will be diminished in size. c) No matter where you place yourself, a real image will be formed. D) If you position yourself between the center of curvature and the focal point of the mirror, you will not be able to see your image. E) None of these is true.

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Final answer:

The properties of your image reflected in a concave mirror heavily depend on your position relative to the mirror's focal point and center of curvature. When positioned between the mirror’s center of curvature and its focal point, the image appears enlarged, upright and virtual. Otherwise, if positioned beyond the focal point, the image will be inverted, real, and either diminished or enlarged based on the distance from the mirror.

Step-by-step explanation:

The properties of your image in a concave mirror depend on your position relative to the mirror's focal point and center of curvature. If you position yourself between the mirror’s center of curvature and its focal point, the resulting image is virtual, meaning it appears to be behind the mirror. Furthermore, the image in this scenario is upright and larger than the object, i.e., your face. Contrastingly, if you are positioned on the far side of the focal point, your reflected image will be real, can be projected onto a surface, and will be inverted.

As for whether the image will be diminished in size, it depends. If your face is positioned at a greater distance than the center of curvature, the image will appear diminished. On the other hand, if your face is closer than the focal point, the image will be enlarged.

To summarize, statements A and C are not always true, B depends on your position, D is false because you will see an upright, magnified, virtual image, so option E 'None of these is true' would make the most sense in a general context.

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