Asymptotes | Problem in Tamil

Show that the four asymptotes of the curve (x^2 – y^2) (y^2 – 4 x^2) + 6 x^3 – 5 x^2 y – 3 x y^2 + 2 y^3 – x^2 + 3 x y – 1 = 0 cut the curve again in eight points which lie on a circle whose radius is unity.