2.5.1 Properties of Modulus of a complex number
Chapter 2: Chapter 2 · MATHEMATICS-VOLUME 1 · EN medium
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( ) z ( ) z ( ) z (Triangle inequality) ( ) z , where n is an integer ( ) z z ( ) Re z ( ) z ( ) Im z Let us prove some of the properties. Property Triangle inequality For any two complex numbers z , we have z Proof Using z z z z = = ( )( = z z z z z z z z = z z z z z z z Re Im P ( x, y )
📖 Class 12 Mathematics English Volume 1 2025 Edition www.tntextbooks.in · Page 74
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( ) z ( ) z ( ) z (Triangle inequality) ( ) z , where n is an integer ( ) z z ( ) Re z ( ) z ( ) Im z Let us prove some of the properties. Property Triangle inequality For any two complex numbers z , we have z Proof Using z z z z = = ( )( = z z z z z z z z = z z z z z z z Re Im P ( x, y )
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