question_answer 1)

The area bounded between x = y2 and x = 4 is divided into two equal parts by the line x = a, find the value of a. 

Answer:

Given curves are             x = y2                ?. (1)             x = 4                 ?. (2)             x = a                 ??(3)         For (1), x = y2                   Since the line x = a divides the shaded area in two equal parts, therefore.             [By symmetry take first quadrant only]                          2a3/2 = 43/2 = 8         a3/2 = 4