If $ f(z)=(x^{2}+axy+by^{2})+i(cx^{2}+dxy+y^{2})$ is an analytic function of z. then the values of a, b, c and d are :
1). a = 2, b = -1, c = -1, d = 4
2). a = -2, b = 1, c = -1, d = 2
3). a = 2, b = 1, c = -1, d = -2
4). a = 2, b = -1, c = -1, d = 2