Case (i): Real, inverted and magnified image
For a convex lens to form a real, inverted and magnified image, the object must be placed between F and 2F, i.e., object distance $u$ must satisfy:
$$f < |u| < 2f \implies 10 \text{ cm} < |u| < 20 \text{ cm}$$
Ray Diagram (i):
(Object between F and 2F; image forms beyond 2F on the other side — real, inverted, magnified)
```
|
O | I
↑ F 2F 2F' ↑↑
---●--●----●-----●----●---
|
```
---
Case (ii): Virtual, erect and magnified image
For a virtual, erect and magnified image, the object must be placed between the optical centre and F, i.e.:
$$0 < |u| < f \implies 0 < |u| < 10 \text{ cm}$$
Ray Diagram (ii):
(Object between O and F; image forms on the same side as object — virtual, erect, magnified)
```
|
I↑↑ | O↑
F
---●--●--●-----------
|
```
Source: Chapter 9, Section 9.3.5 – Image Formation in Lenses Using Ray Diagrams
---