TRUE OR FALSE

The virtual image formed by a convex mirror is always enlarged.
A convex mirror never forms a real image of a real object.
When the object of a concave mirror is inside the focal point, the image is virtual.
The image produced by a convex mirror is always closer to the mirror than it would be in a plane mirror for the same object distance.
A concave mirror always forms a virtual image of a real object.
A virtual image formed by a concave mirror is always enlarged.
A concave mirror always forms an enlarged real image of a real object.

this response was on 2008 damn

what are your ideas on this?

hint: it depends on the distance of the object from the mirror.

they're true false that's all the info given

no it's cool i finally think i got it.

False
True
True
True
False
True
False

All answers are correct. The next-to-last required a bit of thinking.

1/do must be less than 1/|di| if di is negative (virtual). You also know that f is positive. Therefore
1/do - 1/f = 1/|di|
Therefore 1/do < |1/|di| ;
|di| > do so the image is enlarged.

The statements can be evaluated individually:

1. The virtual image formed by a convex mirror is always enlarged. (TRUE)
To understand why this is true, we need to consider the properties of a convex mirror. A convex mirror is curved outward and has a wider field of view. It reflects light outwards, causing the rays to diverge. When these diverging rays are extended backward, they appear to converge at a point behind the mirror, forming a virtual image. Since the rays of light are diverging, the virtual image formed by a convex mirror will always be smaller than the actual object.

2. A convex mirror never forms a real image of a real object. (TRUE)
A real image is formed when the rays of light converge at a point, which can be projected onto a screen. However, in a convex mirror, the light rays diverge after reflecting, meaning they do not actually converge at a point. Therefore, a convex mirror does not form a real image of a real object.

3. When the object of a concave mirror is inside the focal point, the image is virtual. (TRUE)
In a concave mirror, the focal point is located on the same side as the object. When an object is placed between the concave mirror and its focal point, the reflected rays appear to be diverging away from each other. These diverging rays can be extended backward to form a virtual image. Thus, when the object is inside the focal point of a concave mirror, the resulting image is virtual.

4. The image produced by a convex mirror is always closer to the mirror than it would be in a plane mirror for the same object distance. (TRUE)
In a plane mirror, the image formed is the same distance behind the mirror as the object is in front. However, in a convex mirror, the virtual image is formed by extending the diverging rays backward. This extension causes the virtual image to be closer to the mirror compared to a plane mirror for the same object distance.

5. A concave mirror always forms a virtual image of a real object. (FALSE)
A concave mirror can form both real and virtual images, depending on the position of the object relative to the mirror. When the object is located outside the focal point, a real image is formed. However, when the object is inside the focal point, a virtual image is formed.

6. A virtual image formed by a concave mirror is always enlarged. (FALSE)
The size of a virtual image formed by a concave mirror can vary depending on the position of the object relative to the mirror. When the object is located outside the focal point, a real image is formed, and its size can vary depending on the object distance, focal length, and mirror curvature. The size of a virtual image formed by a concave mirror is not always enlarged.

7. A concave mirror always forms an enlarged real image of a real object. (FALSE)
A concave mirror can form both enlarged and reduced images of real objects. When the object is located beyond the focal point, a real image is formed, and its size can vary depending on the object distance, focal length, and mirror curvature. The size of a real image formed by a concave mirror is not always enlarged.