To solve this problem, we need to analyze the given statements about vision and carotene-rich food:$\newline \bullet$(a) Vitamin A derivatives are formed from carotene.$\newline$ - Carotene is a precursor to vitamin A, which is essential for good vision.$\newline$ - This statement is correct.$\newline \bullet$(b) The photo-pigments are embedded in the membrane discs of the inner segment.$\newline$ - Photo-pigments are actually embedded in the membrane discs of the outer segment of photoreceptor cells, not the inner segment.$\newline$ - This statement is incorrect.$\newline \bullet$(c) Retinal is a derivative of vitamin A.$\newline$ - Retinal is indeed a derivative of vitamin A and plays a crucial role in vision.$\newline$ - This statement is correct.$\newline \bullet$(d) Retinal is a light-absorbing part of all the visual photopigments.$\newline$ - Retinal is the light-absorbing molecule in visual photopigments such as rhodopsin.$\newline$ - This statement is correct.$\newline$Now, let's determine which options include the correct statements:$\newline$Option 1: (a), (c), and (d) - This option includes all the correct statements.$\newline$Option 2: (a) and (c) - This option is missing statement (d).$\newline$Option 3: (b), (c), and (d) - This option includes the incorrect statement (b).$\newline$Option 4: (a) and (b) - This option includes the incorrect statement (b) and is missing (c) and (d).$\newline$Therefore, the correct option is Option 1, which includes statements (a), (c), and (d).