Xy fx, y)=+yy) # (0, 0) , y) = (0, 0) then, (a) f is continuous at (0, 0) and the partial derivatives yty exiists at every point of r" (b) f is discontinuous at

xy fx, y)=+yy) # (0, 0) , y) = (0, 0) Then, (a) f is continuous at (0, 0) and the partial derivatives yty exiIsts at every point of R" (b) f is discontinuous at (0, 0) and f,, t, does not exists at every point of R (c) fis discontinuous at (0, 0) and f,, f, exists at only at (0,0) (d) None of the above