Alens is placed between a source of light and a wall. It forms images of are `A_(1)` and `A_(2)` on the wall, for its two different positions, the area of the source of light is

Options

A. `sqrt(A_(1)A_(2))`
B. `(A_(1) + A_(2))/(2)`
C. `((sqrt(A_(1)) + sqrt(A_(2)))/(2))^(2)`
D. None

Answer

A

Explanation

Am = `A_(1) , A((1)/(m)) = A_(2)`
`implies A^(2) = A_(1)A_(2) implies A = sqrt(A_(1)A_(2))`