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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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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.


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)


Find the complex conjugate of 14 plus 12i?

To find the complex conjugate of a number, change the sign in front of the imaginary part. Thus, the complex conjugate of 14 + 12i is simply 14 - 12i.