Question

An object is 20 cm in front of a diverging lens with a focal length of -12 cm . Determine the location of the image.

Answer 1

$\\ f=-12 \\ u = -20\\ Lens \ formula \ in \ cartesian \ coordinates\\ \frac{1}{v} - \frac{1}{u} = \frac{1}{f}\\ \\ \frac{1}{v} - \frac{1}{-20} = \frac{1}{-12}\\ \\ v = -7.5\\$

The image is located 7.5cm from the lens on the same side of the lens as the object