Use the mirror equation to deduce that:
(a) an object placed between f and 2 f of a concave mirror produces a real image beyond 2 f.
(b) a convex mirror always produces a virtual image independent of the location of the object.
(c) the virtual image produced by a convex mirror is always diminished in size and is located between the focus and the pole.
(d) an object placed between the pole and focus of a concave mirror produces a virtual and enlarged image.
[ Note: This exercise helps you deduce algebraically properties of
images that one obtains from explicit ray diagrams.]
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