Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store
seo-qna
SearchIcon
banner

How do you graph 43i in the complex plane?

Answer
VerifiedVerified
476.1k+ views
1 likes
like imagedislike image
Hint: In order to solve this question, we identify our real number part and imaginary number part and then plot it accordingly on the graph. The x-axis represents the real numbers while the y-axis represents the imaginary numbers.

Complete step-by-step solution:
The given number is 43i. This is a mixed number where there are two parts- a complex number and a real number.
Now, we need to plot the given equation on the complex plane. A complex plane is nothing but a Cartesian system containing the standard two axes which is the x-axis and the y-axis. The x- axis represents the real numbers while y-axis represents the imaginary numbers.
Our given number is 43i, 4 represents the real number while 3 is an imaginary number.
Thus our coordinates are: (4,3) where x-coordinate represents the real part and y-coordinate represents the imaginary part.
Plotting this on the graph, we get:
Here point A represents our required coordinate.
seo images


Note: A complex number is a number that can be represented as a+bi, where a and b are real numbers, and i represents the imaginary unit, satisfying the equation i=1. Because no real number satisfies the equation, therefore i is called an imaginary number. Some properties of complex numbers are:
When a, b, c and d are real numbers and a+ib=c+id, then a=c and b=d
The sum of two conjugate complex numbers is real. For example, if we have a number as z=a+ib , where a and b are real numbers, and the conjugate number z=aib , then the sum of z+z is a real number.
The product of two conjugate complex numbers is real.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
calendar iconAcademic year 2025-26
language iconENGLISH
book iconUnlimited access till final school exam
tick
School Full course for CBSE students
PhysicsPhysics
ChemistryChemistry
MathsMaths
₹ per year
Select and buy