2.4 Conjugate of a Complex Number
Chapter 2: Chapter 2 · MATHEMATICS-VOLUME 1 · EN medium
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. Conjugate of a Complex Number In this section, we study about conjugate of a complex number, its geometric representation, and properties with suitable examples. Definition . The conjugate of the complex number x iy ++ is defined as the complex number x iy −− Complex Numbers The complex conjugate of z is denoted by z . To get the conjugate of the complex number z , simply change i by − i in z . For instance − i is the conjugate of + i .The product of a complex number with its conjugate is a real number. For instance, (i) x iy iy iy (ii) Geometrically, the conjugate of z is obtained by reflecting z on the real axis.
📖 Class 12 Mathematics English Volume 1 2025 Edition www.tntextbooks.in · Page 68
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. Conjugate of a Complex Number In this section, we study about conjugate of a complex number, its geometric representation, and properties with suitable examples. Definition . The conjugate of the complex number x iy ++ is defined as the complex number x iy −− Complex Numbers The complex conjugate of z is denoted by z .
To get the conjugate of the complex number z , simply change i by − i in z . For instance − i is the conjugate of + i .The product of a complex number with its conjugate is a real number. For instance, (i) x iy iy iy (ii) Geometrically, the conjugate of z is obtained by reflecting z on the real axis.
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