question_answer 30)

Using integration, find the area bounded by the lines : 2x + y = 4, 3x – 2y = 6 and x – 3y + 5 = 0  

Answer:

Given lines are       2x + y = 4   ?. (1)   3x ? 2y = 6        ?. (2)       and x ? 3y = ?5                   ?. (3)       Solving (1) and (2), we get x = 2, y = 0       Let A = (2, 0)       Solving (2) and (3), we get x = 4, y = 3       Let B = (4, 3)       Solving (1) and (3), we get x = 1, y = 2       Let C = (1, 2)             Area