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| Geometrically , the point <math>P(x,y)</math> is the mirror image of the point <math>P(x,y)</math> on the real axis (Fig 1) | | Geometrically , the point <math>P(x,y)</math> is the mirror image of the point <math>P(x,y)</math> on the real axis (Fig 1) |
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| Example: Find the conjugate of <math>\frac{(3-2i)(2+3i)}{(1+2i)(2-i)}</math> | | === Example === |
| | Find the conjugate of <math>\frac{(3-2i)(2+3i)}{(1+2i)(2-i)}</math> |
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| <math>\frac{(3-2i)(2+3i)}{(1+2i)(2-i)}</math> | | <math>\frac{(3-2i)(2+3i)}{(1+2i)(2-i)}</math> |
Revision as of 13:22, 11 November 2023
The modulus of a complex number gives the distance of the complex number from the origin in the Argand plane, whereas the conjugate of a complex number gives the reflection of the complex number about the real axis in the Argand plane.
Conjugate of a Complex Number
Fig 1 - Conjugate of a complex number
The representation of a complex number and its conjugate in the Argand plane are, respectively , the points and
Geometrically , the point is the mirror image of the point on the real axis (Fig 1)
Example
Find the conjugate of
Answer: The conjugate of
Modulus of a Complex Number
Fig 2 - Modulus of a complex number