Question

Find the area of the region bounded by the curves x = at² and y = 2at between the ordinate corresponding to t = 1 and t = 2.

Answer 1

Given that x = at² ...(i),

y = 2at ...(ii)

⇒ t = y/2a putting the value of t in (i), we get y² = 4ax

Putting t = 1 and t = 2 in (i), we get x = a, and x = 4a 

Required area = 2 area of ABCD