The maximum value of function (xy)^6 on the ellipse x^2/4 + y^2 = 1 occur at a point (x, y) for which y^2 is equal to
- A. √2/3
- B. 1/2
- C. 2/3
- D. 5/11
Answer: B. 1/2
Explanation: Maximising (xy)⁶ on ellipse x²/4 + y² = 1: by AM-GM inequality, maximum occurs when x²/4 = y² = 1/2.