One of the points which lies on the solution curve of the following differential equation

Q. One of the points which lies on the solution curve of the following differential equation

2𝑥𝑦 𝑑𝑥 + (𝑥² + 𝑦²) 𝑑𝑦 = 0

with the initial condition 𝑦(1) = 1 is

             (A) (−1, 1)           (B) (0, 0)                  (C) (0, 1)                  (D) (2, 1)

Ans: (-1, 1)