What are the Cartesian sign convention for refraction of light (image formation) by a lens . Draw diagrams to illustrate the same.

Explanation

Cartesian sign convention for refraction of light (image formation) by a lens.
In this case, the optical centre (O) of the lens is taken as the origin and the principal axis of the lens is taken as X-axis of the coordinate system.
(1) The object is always placed at the left of the lens.
All distances parallel to the principal axis are measured from optical centre of the lens.
(2) All distance measured to the right of the origine are taken as positive while distances measured to the left of the origin are taken as negative.
(3) Distances measured perpendicular to and above the principal axis are taken as positive.
(4) Distances measured perpendicular to and below the principal axis are taken as negative.
(5) The focal length of a convex lens is positive and that of a concave lens is negative.