A concave mirror produeces a three times magnified (enlarged) real image of an object placed at 10cm in front of it. Where is the image located?

Explanation

Magnification produced by a spherical mirror is given by relation Y the
`m=("Height of the image")/("Height of the object")=("image distance")/("Object Distance")`
`m=(h_1)/(h_0)=-u/v`
Let the height of the object, `h_0=h`
then, height of the image, `h_1=-3h` (image formed is real)
`(-3h)/(h)=(-v)/u`
`v/u=3`
Object distance, `u=-10cm`
`v=3xx(-10)=-30cm`
Here, the negative sign indicates that an inverted image is formed at a distance of 30 cm in front of the given concave mirror.