At what position should an object be placed in front of a concave mirror to obtain a magnification of $(- 2)$?

$A$ convex mirror has a focal length $f$. $A$ real object is placed at a distance $f$ in front of it. The mirror produces an image at

State the relation between object distance,image distance,and focal length of a concave or convex mirror. $A$ concave mirror produces a two times magnified real image of an object placed at $10 \ cm$ from it. Find the position of the image.

$A$ student wants to project the image of a candle flame on a screen $60\, cm$ in front of a mirror by keeping the flame at a distance of $15\, cm$ from its pole.
$(a)$ Write the type of mirror he should use.
$(b)$ Find the linear magnification of the image produced.
$(c)$ What is the distance between the object and its image?
$(d)$ Draw a ray diagram to show the image formation in this case.

The mirror formula is the same,irrespective of whether the mirror is a convex mirror or a concave mirror.

An object $5.0\, cm$ in length is placed at a distance of $20\, cm$ in front of a convex mirror of radius of curvature $30\, cm$. Find the position of the image,its nature and size.