Read the following statements :(a) A function G(s) of the complex variables ‘S’ is called an analytic function in a region of the S-plane if the function and all its derivatives exist in the region.(b) A function G(s) of the complex variable ‘S’ is called an analytic function in a region of the S-plane if function and all its derivatives do not exist in the region.(c) The singularities of a function are the points in the S-plane at which the function and its derivatives do not exist.(d) The singularities of a function are the points in the S-plane at which the function and its derivatives exist.Which of the above statements are not correct?

• A. (a) and (b)
• B. (b) and (c)
• C. (b) and (d)
• D. (a) and (d)