An object is placed at a distance of $\displaystyle 10$ cm from a convex mirror of focal length $\displaystyle 15$ cm. Find the position of the image formed by the mirror.

\[\begin{aligned} & \mathrm{u}=-10 \mathrm{~cm} ; \mathrm{f}=+15 \mathrm{~cm} \\ & \frac{1}{f}=\frac{1}{v}+\frac{1}{u} \\ & \frac{1}{15}=\frac{1}{v}+\frac{1}{-10 \mathrm{~cm}} \\ & \frac{1}{v}=\frac{1}{15 \mathrm{~cm}}+\frac{1}{10 \mathrm{~cm}} \\ & v=+6 \mathrm{~cm} \end{aligned} \]