Let C be the circle x² + (y – 1)² = 2, E₁ and E₂ be two ellipses whose centres lie at the origin and major axes lie on x-axis and y-axis respectively. Let the straight line x + y = 3 touch the curves C, E₁ and E₂ at P(x₁, y₁), Q(x₂, y₂) and R(x₃, y₃) respectively. Given that P is the mid-point of the line segment QR and , the value of 9(x₁y₁ + x₂y₂ + x₃y₃) is equal to _____.