Q 9.15 (c) Use the mirror equation to deduce that:
the virtual image produced by a convex mirror is always diminished in size and is located between the focus and the pole.
In a convex mirror focal length is positive conventionally.
so we have mirror equation
here since is positive and is negative (conventionally) so we have,
that is '
which means the image will always lie between pole and focus.
Now,
here since is always negative conventionally, it can be seen that magnification of the image will be always less than 1 and hence we conclude that image will always be diminished.