Draw ray diagram in each case to show the position and nature of the image formed when the object is placed at $2\mathrm{F}$ of a convex lens.

Draw ray diagram in each case to show the position and nature of the image formed when the object is placed in front of a concave lens.

An object $3 \mathrm{cm}$ high produces a real image $4.5 \mathrm{cm}$ high, when placed at a distance of $20 \mathrm{cm}$ from a concave mirror. Calculate the position of the image.

An object $3 \mathrm{cm}$ high produces a real image $4.5 \mathrm{cm}$ high, when placed at a distance of $20 \mathrm{cm}$ from a concave mirror. Calculate the focal length of the mirror.

A converging mirror, forms a three times magnified virtual image when an object is placed at a distant of $8 \mathrm{cm}$ from it. Calculate the position of the image 

A converging mirror, forms a three times magnified virtual image when an object is placed at a distance of $8 \mathrm{cm}$ from it. Calculate the focal length of the mirror.

An object $5 \mathrm{cm}$ high forms a virtual image of $1.25 \mathrm{cm}$ high, when placed in front of a convex mirror at a distance of $24 \mathrm{cm}$. Calculate the position of the image.