The area of the region bounded by curves x² - 2y = 0 and y = 8 is equal to ⊙ 64/3 sq. units
⊙ 128/3 sq. units
⊙ 32/3 sq. units
⊙ 256/3 sq. units

please Solve step by step.

The given curve is

can be rewritten as

It represents a upper parabola having vertex at (0, 0) and axis along y - axis.

So, the required area bounded by the curve between y = 8 with respect to y - axis is

So, Option (2) is correct

the correct is answer is a 9-sided polygon!