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In your earlier classes, you have studied different types of curved mirrors, such as parabolic and spherical mirrors.
 
A spherical mirror's reflecting surface can be curved inwards or outwards.
 
A concave mirror is a spherical mirror with a reflecting surface that is curved inwards, facing the centre of the sphere. A convex mirror is a spherical mirror with a curved reflecting surface that faces outwards.
 
You may now realise that the spoon's curved inwards surface can be compared to a concave mirror, while the bulged surface of the spoon can be compared to a convex mirror.
Spherical mirrors:
In the case of curved mirrors, the reflecting surface is a part of the surface of a sphere. Such mirrors whose reflecting surfaces are spherical in nature are called Spherical mirrors.
 
wheel-glass-reflection-vehicle-metal-globe-772443-pxhere.com.jpg
Spherical mirrors
 
Concave mirrors:
The reflecting surface is curved inwards in some spherical mirrors; that is, it faces towards the centre of the sphere. They are called Concave mirrors.
Example:
The mirrors used in vehicle headlights, Reflecting telescopes, Torch lights and shaving mirrors
headlights-5952886_1920.jpg
Concave mirrors in vehicle headlights
  
Convex mirrors:
The reflecting surface is curved outward in some kind of spherical mirror. They are called Convex mirrors.
Example:
The rear side mirror of vehicles, Optical instruments and safety mirrors
shutterstock_1024102975.jpg
The rear side mirror of a car
Reference:
https://pxhere.com/en/photo/772443
https://pixabay.com/photos/headlights-lights-car-auto-5952886/