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 the relation.
`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=-10 cm`
`v=3xx(-10)=-30 cm`
Here the negative sign indicates that an inverted image is formed at a distance of 30 cm in front of the given concave mirror.