Design in $C++$ the class named Line to implement a line in general form $Ax+By=C$

where $A,B,$ and $C$ are floating$-$point datatypes, and use exception to validate that $A$

and $B$ are not both $0$

a$.$ Overloads the stream insertion operator, $,$ for easy output. Show the equation

$y=-\frac{A}{B}x+\frac{C}{B}$

b$.$ Overloads the stream extraction operator, $>,$ for easy input. Ask the user $A,B,$

and $C$ floating$-$point datatype.

c$.$ Overloads the memberwise operator to equal to lines.

d$.$ Overloads the relational operator $|$ for vertical line, if $B=0$ then $x=\frac{C}{A}$

e$.$ Overloads the relational operator $|=$ for horizontal line, $y=b$ where $b-$ intercept.

f$.$ Overloads the relational operator $||$ if two lines are parallels. Two nonvertical lines

are parallel if and only if their slopes are equal and they have different $y-$intercepts.

g$.$ Overloads the relational operator $==$ if two lines are perpendicular. Two

nonvertical lines are perpendicular if and only if the product of their slopes is $-1.$

h$.$ Write a program with an options menu that shows each basic operation of Line

Class.

Must include:

Source code.

Separate class specifications from implementation.

Program output.

Descriptive Tables.

UML diagrams.Design in C$++$ the class named Line to implement a line in general form

where A$,$ B$,$ and C are floating$-$point datatypes, and use exception to validate that A and B are not both $0$

a$.$ Overloads the stream insertion operator, for easy output. Show the equation

b$.$ Overloads the stream extraction operator, $>>,$ for easy input. Ask the user A$,$ B$,$ and C floating$-$point datatype.

c$.$ Overloads the memberwise operator to equal to lines.

d$.$ Overloads the relational operator $|$ for vertical line, if then

e$.$ Overloads the relational operator $|=$ for horizontal line, where $-$ intercept.

f$.$ Overloads the relational operator $||$ if two lines are parallels. Two nonvertical lines are parallel if and only if their slopes are equal and they have different y$-$intercepts.

g$.$ Overloads the relational operator $==$ if two lines are perpendicular. Two nonvertical lines are perpendicular if and only if the product of their slopes is $-1.$

h$.$ Write a program with an options menu that shows each basic operation of Line Class.

Must include:

Source code.

Separate class specifications from implementation.

Program output.

Descriptive Tables.

UML diagrams.