JEE 2023 — Mathematics PYQJEE | Mathematics | 2023If the area of the region S={(x,y):2y−y2≤x2≤2y,x≥y} is equal to n+1n+2=n−1π, then the natural number n equals to _____.Choose the correct answer:A. 4B. 5 (Correct Answer)C. 6D. 7Correct Answer: 5Explanationx2+y2−2y≥0 x2−2y≤0 x≥y Hence required area =21×2×2−∫022x2dx−(4π−21) ⇒n=5A4B5C6D7Show Answer SExplanationx2+y2−2y≥0 x2−2y≤0 x≥y Hence required area =21×2×2−∫022x2dx−(4π−21) ⇒n=5
