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For example, the conjugate of 5 + 3i is 5 - 3i. The graph of the first number is three units above the real number line; the second one is three units below the real number line.

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7mo ago

The graph of a complex number and its conjugate in the complex plane are reflections of each other across the real axis. If a complex number is represented as z = a + bi, its conjugate z* is a - bi. This symmetry across the real axis is a property of the complex conjugate relationship.

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Q: Graphs of a complex number and its conjugate?
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Related questions

What is the graphical relationship between a conjugate number and a complex number?

Graphically, the conjugate of a complex number is its reflection on the real axis.


What is the relationship between a complex number and its conjugate?

When a complex number is multiplied by its conjugate, the product is a real number and the imaginary number disappears.


What is the complex conjugate of the following complex number 7 plus 5i?

The conjugate is 7-5i


What is complex conjugate for the number 9-5i?

The conjugate is 7 - 3i is 7 + 3i.


What is the meaning of Complex conjugate reflection?

For a complex number (a + bi), its conjugate is (a - bi). If the number is graphically plotted on the Complex Plane as [a,b], where the Real number is the horizontal component and Imaginary is vertical component, the Complex Conjugate is the point which is reflected across the real (horizontal) axis.


What is the conjugate of -5 4i?

-9


If a and b are any real numbers what is the conjugate of a plus b?

The concept of conjugate is usually used in complex numbers. If your complex number is a + bi, then its conjugate is a - bi.


Does every real number equal its complex conjugate?

Yes they do, complex conjugate only flips the sign of the imaginary part.


What is the complex conjugate complex number-8-6i?

-6i-8


What is conjugate function?

If you have a complex function in the form "a+ib", the (complex) conjugate is "a-ib". "Conjugate" is usually a function that the original function must be multiplied by to achieve a real number.


What is the conjugate of a real number?

Since the imaginary portion of a real number is zero, the complex conjugate of a real number is the same number.


Is the difference of a complex number and it's conjugate an imaginary number?

Yes. By definition, the complex conjugate of a+bi is a-bi and a+bi - (a - bi)= 2bi which is imaginary (or 0)