Correct option is C
Result used : (Rouche theorem)
Let f(z) and g(z) be holomorphic (analytic) functions inside and on a closed contour C
in the complex plane. if |g(z)| < |f(z)| for all z on C, then f(z) and h(z) = f(z) + g(z)
have the same number of zeros inside C , counted with multiplicities.
