Question
The area between x = y2 and x = 4 is divided into two equal parts by the line x = a, find the value of a.
Solution
The equation of parabola is y2 = x
From the given condition, area OAP under y2 = x between x = 0 and x = a = area ABQP under y2 = x between x = a and x = 4.
