Answer
see solution
Work Step by Step
(a) The two points A and B are at the same height. According to Bernoulli's principle, the difference in pressure is proportional to the square of the velocities at the two points . Since there is a difference of pressure between the two points, hence the velocities cannot be zero.
(b) Fluid flows from high pressure to low pressure. If the pressure at C increases, then the fluid must flow from C to D which is at a lower pressure. But according to the question, the fluid is static. Thus this point contradicts the statement that the fluid is static