Task $1$: Operator Overloading

Using APPENDIX A as starting points, solve the following two exercises:

Implement a class for arithmetic using imaginary numbers $(a+ib).$ The class has

the following constructors and overloaded operators:

a$.$ A constructor with no arguments sets the real and imaginary parts of the

object to values $0\mathrm{.}0.$

b$.$ A constructor with two arguments a and $b$ sets the real part to parameter $a,$

and the imaginary part to parameter b$.$

c$.$ Operator $+$ adds to imaginary numbers.

d$.$ Operator $-$ subtracts two imaginary numbers.

e$.$ Operator $*$ multiplies two imaginary numbers.

f$.$ Operator $$ displays an imaginary number.

g$.$ Operator $$ reads an imaginary number.

h$.$ Operator $=$ assigns the right$-$side object to the left side object, e$.$g$.,a=b.$

i$.,$ Operator $==$ returns true if two imaginary numbers are equal and false

otherwise.

j$.$ Operator $!=$ returns true if two imaginary numbers are different and false

otherwise.

The main program should demonstrate the use of all the above constructors and

overloaded operators.