Question

Given below are two statements
Statement I: If f(z) = u + iv is an analytic function, then u and v are both harmonic function.
Statement II: If f (z) is analytic within and on a closed curve C, and if a is any point within C, then $f(a)=\frac{1}{2πi}\int_c\frac{f(z)}{z-a}dz$
In the light of the above statements, choose the most appropriate answer from the options given below

• A. Both Statement I and Statement II are correct
• B. Both Statement I and Statement II are incorrect
• C. Statement I is correct but statement II is incorrect
• D. Statement I is incorrect but statement II is correct

Answer 1

Answer: (A)

Both Statement I and Statement II are correct

Answer 2

The correct option is(A):Both Statement I and Statement II are correct