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Complex Numbers Create a class called Complex for performing arithmetic with complex numbers. Complex numbers have the form R +jl where, j =-1. Complex numbers
Complex Numbers Create a class called Complex for performing arithmetic with complex numbers. Complex numbers have the form R +jl where, j =-1. Complex numbers are also written as (R, 1). Write a program to test your class. Use floating-point variables to represent the private data of the class. Provide a constructor that enables an object of this class to be initialized when it's declared. Provide a no-argument constructor with default values in case no initializers are provided. Declare all variables as private and provide their getters and setters. Also provide public methods that perform the following operations: a) Get the Conjugate of a Complex number b) Convert complex number (real and imaginary parts) to polar coordinates c) Add two Complex numbers d) Subtract two Complex numbers using the conjugate e) Multiply two Complex numbers f Divide two complex numbers g) Print Complex numbers in both forms: (realPart, imageinaryPart) and (amplitude, angle) using toString. Here are some common complex number arithmetic operations: (a +bi)(c+ di)- (a+c)+ (b d)i (a+bi)-(c + di) = (a-c) + (b-d)i a bi)(c di) (ac - bd) (ad bc)i ac+ bd bc ad Complex Numbers Create a class called Complex for performing arithmetic with complex numbers. Complex numbers have the form R +jl where, j =-1. Complex numbers are also written as (R, 1). Write a program to test your class. Use floating-point variables to represent the private data of the class. Provide a constructor that enables an object of this class to be initialized when it's declared. Provide a no-argument constructor with default values in case no initializers are provided. Declare all variables as private and provide their getters and setters. Also provide public methods that perform the following operations: a) Get the Conjugate of a Complex number b) Convert complex number (real and imaginary parts) to polar coordinates c) Add two Complex numbers d) Subtract two Complex numbers using the conjugate e) Multiply two Complex numbers f Divide two complex numbers g) Print Complex numbers in both forms: (realPart, imageinaryPart) and (amplitude, angle) using toString. Here are some common complex number arithmetic operations: (a +bi)(c+ di)- (a+c)+ (b d)i (a+bi)-(c + di) = (a-c) + (b-d)i a bi)(c di) (ac - bd) (ad bc)i ac+ bd bc ad
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