To solve this problem, we need to identify the physiological group of a plant with specific characteristics:$\newline \bullet$Avoids photorespiratory losses$\newline \bullet$Has improved water use efficiency$\newline \bullet$Shows high rates of photosynthesis at high temperatures$\newline \bullet$Has improved efficiency of nitrogen utilization$\newline$Let's analyze each option:$\newline \bullet$C$_3$ plants:$\newline$ - C$_3$ plants are the most common type of plants and use the Calvin cycle for carbon fixation.$\newline$ - They are less efficient in hot and dry environments due to photorespiration.$\newline$ - They do not have mechanisms to avoid photorespiration effectively.$\newline \bullet$C$_4$ plants:$\newline$ - C$_4$ plants have a specialized mechanism to minimize photorespiration by using a different pathway for carbon fixation.$\newline$ - They have high water use efficiency and can photosynthesize efficiently at high temperatures.$\newline$ - They also have improved nitrogen utilization efficiency.$\newline \bullet$CAM plants:$\newline$ - CAM (Crassulacean Acid Metabolism) plants open their stomata at night to reduce water loss.$\newline$ - They are adapted to arid conditions but are not specifically known for high photosynthetic rates at high temperatures.$\newline \bullet$Nitrogen fixers:$\newline$ - Nitrogen-fixing plants have symbiotic relationships with bacteria to fix atmospheric nitrogen.$\newline$ - This characteristic does not directly relate to avoiding photorespiration or high photosynthetic rates at high temperatures.$\newline$Based on the analysis, the plant described in the question fits the characteristics of C$_4$ plants.$\newline$Therefore, the correct option is Option 2: C$_4$.