Show that for virtual object, a convex mirror gives (a) real and erect image of `u lt f` and (b) virtual and inverted image for `u gt f`.

Explanation

(a) The rays are converging towards the point O. O acts as a virtual object
`(1)/(v)+(1)/(u)=(1)/(f)`
`(1)/(v)=(1)/(f)-(1)/(u)`
`u` and `f` are `+ve, u lt f`
`m=-(v)/(u)=+ve`
We get real and erect image.
(b) Here `u gt f,u,f:+ve`
`(1)/(v)+(1)/(u)=(1)/(f)implies(1)/(v)=(1)/(f)-(1)/(u)`
`v:+ve`
`m=-(v)/(u)=-ve`
We get virtual and inverted image.