Which of the following equations is/are possible? I. sin²θ = (x + y)²/(4xy), where x, y are positive unequal real quantities. II. sin θ + cos θ = x + 1/x, where x is a positive real quantity. Select the correct answer using the code given below:

Statement I: By AM-GM, (x + y)² ≥ 4xy with equality iff x = y. Since x ≠ y, (x+y)²/(4xy) > 1, so sin²θ > 1, impossible. Statement II: For positive x, x + 1/x ≥ 2 (by AM-GM). But sin θ + cos θ has maximum √2 < 2. So sin θ + cos θ = x + 1/x requires sin θ + cos θ ≥ 2, impossible. Neither I nor II is possible.