Question

A) Determine the points ensemble M that contains every point on an orthonormal plan that have an affix z such as i/(z+1) is a real number.

b) Same question but i/(z+1) should now be an strictly imaginary number


Graph if you can​

Answer 1

a) To determine the set M, we need to find the points on the orthonormal plane where i/(z+1) is a real number. This means that the imaginary part of i/(z+1) must be equal to zero.

b) Now, for i/(z+1) to be strictly imaginary, it means that the real part of i/(z+1) must be equal to zero.

I'm sorry, I am not able to graph.