Real component of a complex number is plotted top top x-axis and imaginary component of the facility number on y-axis.
You are watching: Complex numbers can be graphed on the real xy coordinate plane
Therefore, in any kind of ordered pair (x, y)
x → Real component of the complex number
y → Imaginary component of the facility number
Complex numbers are,
A : (-2) + (3)i
B : (-1) + (1)i
C : (3) + (-4)i
D : (4) + (1)i
A = -2 + 3i
B = -1 - i
C = 3 - 4i
D = 4 + i
The rest of the inquiry is the fastened figure.
x-axis will represent the real component and y-axis will stand for the imagine part.
Let suggest P located at (x,y) so, The complex number ns is (x + y * i)
So, as shown at the graph:
The coordinates of suggest A is (-2,3) ⇒ So, A = -2 + 3i
The works with of allude B is (-1,-1) ⇒ So, B = -1 - i
The works with of suggest C is (3,-4) ⇒ So, C = 3 - 4i
The works with of allude D is (4,1) ⇒ So, D = 4 + i
The y-axis deserve to be taken into consideration the imagine axis.
The x-axis is the genuine axis.
So we deserve to conclude that:
A: (-2, 3i)
B: (-1, -i)
C: (3, -4i)
D: (4, i)
Answer.1) False2) False3) False
Explanation1) once a number is created as a+bi, a and also b are real number. B is never thought about as imagine number.The statement offered is false.
2) The worth of i is √(-1), as soon as squared us get;
(√(-1))² = -1.The answer offered is false.
See more: Spent A Check And Get It Right Back Lyrics, Spend It Lyrics Dae Dae ※ Mojim
3) the is not possible to graph a complex number is XY coordinates. Complicated number space graphed ~ above an imaginary axis and real axis only. The statement given is false.
The standard type of an imagine number is a ± bi wherein a is the genuine number and also b is the imaginary number. The answer hence is false. I related to an imagine number is same to square root of -1. Therefore when i is squared, the answer must be -1. Answer is false. Complicated numbers deserve to be graphed just in an aircraft with an imagine axis and a real axis/ prize in 3 is false
Leave a answer Cancel reply
Your email resolve will not be published. Required fields are marked *
conserve my name, email, and also website in this browser for the following time i comment.
based upon the ossenburger step which spiritual beliefs would certainly you think Holden would certainly feel real the opposite of phony