The area of the region described by A = (x, y) : x 2 + y 2 ≤ 1 and y 2 ≤ 1 – x is

Mathematics · JEE Main · NTA ExamsIntegral Calculus

The area of the region described by
A = {(x, y) : x2 + y2 ≤ 1 and y2 ≤ 1 – x} is
  1. \(\frac{\pi}{2}+\frac{2}{3}\)
  2. \(\frac{\pi}{2}+\frac{4}{3}\)
  3. \(\frac{\pi}{2}-\frac{4}{3}\)
  4. \(\frac{\pi}{2}-\frac{2}{3}\)

Answer

(B) 2 + 4 3

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