Where should an object be placed so that a virtual and erect image of enlarged size is obtained by a convex lens?

Use the mirror equation to deduce that:

(a) an object placed between f and 2f of a concave mirror produces a real image beyond 2f.

(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.]

Show analytically that an object placed between the pole and focus of a concave mirror produces a virtual and enlarged image.

Q. Using mirror formula show that

An object placed between the pole and the focus of a concave mirror produces a virtual and enlarged image