Question

Find the area of the region bounded by the curve x = y (2-y) at y-axis.

Answer 1

Answer:

Given curve is Obviously, given curve is left handed parabola having vertex at (1, 1). Putting x = 0 in (i), we get y2 = 2y ⇒ y(y - 2) = 0 ⇒ y = 0, 2 i.e., given parabola meets y axis at y = 0 and y = 2, so shaded region is required region. ∴∴ Required area = Area of region OABO Read more on Sarthaks.com - https://www.sarthaks.com/1052906/find-the-area-of-the-region-bounded-by-the-curve-y-2-2y-x-and-the-y-axis