Thanks in advance Tutors. Please give me prompt help with this HW. Thanks.

Indicate whether each of the following statements is True or False. You do not need to justify your answer. A. f(z) = u(x, y) + iv(x, y) is analytic if and only if u(x, y) and v(x, y) are harmonic functions. B. Let f(z) be a non-constant analytic function on the open unit disc. It is possible that f(z) is constant along the line segment joining -1 and 1