Math Problem Statement
find the value of r & thita and plot the graph of complex conjugate of complex number 1+i
Solution
The graph above shows the complex number (in blue) and its complex conjugate (in red) on the complex plane. The real parts are plotted along the x-axis, and the imaginary parts along the y-axis.
Would you like any further explanation or additional details?
Here are 5 related questions:
- How do you find the polar form of a complex number for general cases?
- What is the geometric interpretation of the modulus and argument of a complex number?
- How does the graph of a complex conjugate relate to the original complex number geometrically?
- How do you convert from polar form back to rectangular form?
- What happens to the argument when you take the complex conjugate?
Tip: The complex conjugate of a number reflects it across the real axis in the complex plane!
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Polar Coordinates
Complex Conjugates
Formulas
r = |z| = sqrt(x^2 + y^2)
theta = arg(z) = arctan(y/x)
Complex Conjugate: z = x - iy
Theorems
Modulus and Argument of a Complex Number
Geometric Reflection of Complex Conjugates
Suitable Grade Level
Grades 10-12