Question

Which graph depicts a complex number with i as the imaginary part?

Answer 1

The graph which depicts a complex number with i as the imaginary part is:

Graph: D

Explanation:

We know that a complex number is represented as:

z= x+iy

where x denotes the real value of the number and y denotes the imaginary value of a number.

which is located as the point (x,y)

Hence, the number i is represented as:

z=0+1.i

This means that the number " i " is represented as the point (0,1)

Hence,the number "i" takes a value 1 on the imaginary axis.

Hence, the correct option is:

Graph D

( Graph A denotes the number: 1-i ( Since it is located at (1,-1)

Graph B denotes the number: -1-i ( Since it is located at (-1,-1)

and Graph C denotes the number: -i ( Since it is located at (0,-1) )

Answer 2

So based on the given illustration above of different graphs, the graph that depicts a complex number with i as the imaginary part would be the last one, graph D. i as the imaginary part is the same thing as 1i, which makes this one as the answer. Hope this answers your question.