Use the lens equation to deduce algebraically the following: "An object placed within the focus of a convex lens produces a virtual and enlarged image"

Explanation

`1/v - 1/u = 1/f " or " 1/v = 1/f + 1/u`
convex lens :f > 0, u < 0 (object on the left)
For 0 < | u | < f
` 1/v = 1/f - (1)/(|u|) lt 0 " " i.e. u lt 0 ` (image on left , virtual)
Also for the case , ` (1)/(|u|) lt (1)/(|u|) i.e. |u| lt | v |` (image enlarged )