To solve this problem, we need to identify which of the given pairs are analogous structures. Analogous structures are those that perform similar functions but have different evolutionary origins.$\newline$Let's analyze each option:$\newline \bullet$Option 1: Wings of Bat and Wings of Pigeon$\newline$ - Both structures are used for flying, but they have different evolutionary origins.$\newline$ - The wings of a bat are modified forelimbs with a membrane stretched between elongated fingers, while the wings of a pigeon are feathered and supported by a different skeletal structure.$\newline$ - Therefore, these are analogous structures.$\newline \bullet$Option 2: Gills of Prawn and Lungs of Man$\newline$ - Gills and lungs serve the function of respiration but are structurally and evolutionarily different.$\newline$ - Gills are adapted for extracting oxygen from water, while lungs are adapted for breathing air.$\newline$ - These are not typically considered analogous structures in the context of this question.$\newline \bullet$Option 3: Thorns of Bougainvillea and Tendrils of Cucurbita$\newline$ - Thorns and tendrils are both modifications of plant organs but serve different functions.$\newline$ - Thorns provide protection, while tendrils are used for support.$\newline$ - These are homologous structures, not analogous.$\newline \bullet$Option 4: Flippers of Dolphin and Legs of Horse$\newline$ - Flippers and legs are used for different functions (swimming vs. walking) and have different evolutionary origins.$\newline$ - These are not analogous structures.$\newline$Therefore, the correct answer is Option 1: Wings of Bat and Wings of Pigeon, as they are analogous structures.