The equation of a line in standard form is ax + by = c , wherein both aand b cannot be zero, and a, b, and c are real numbers. If b≠0, then –a/b is the slope of the line. If a = 0, then it is a horizontal line, and if b = 0, then it is a vertical line. The slope of a vertical line is undefined. Two lines are parallel if they have the same slope or both are vertical lines. Two lines are perpendicular if either one of the lines is horizontal and the other is vertical or the product of their slopes is –1. Design the class lineType to store a line. To store a line, you need to store the values of a (coefficient of x), b (coefficient of y), and c. Your class must contain the following operations:If a line is nonvertical, then determine its slope.Determine if two lines are equal. (Two lines a₁x + b₁y = c₁ and a₂x + b₂y = c₂ are equal if either a₁ = a₂, b₁ = b₂, and c₁ = c₂, or a₁ = ka₂, b₁ = kb₂ and c₁ = kc₂, and for some real number k.)Determine if two lines are parallel.Determine if two lines are perpendicular.If two lines are not parallel, then print the point of intersection. The intersection method should indicate one of three options: The intersection point in the format: (x, y) . A message indicating Both lines are equal. A message indicating the Lines do not intersect.Add appropriate constructors to initialize variables of lineType. Also, write a program to test your class. to store the values ofa (coefficient of x),b (coefficient of y),and c. Your classmust contain thefollowing operations:• If a line isnonvertical, thendetermine itsslope.• Determine if twolines are equal.(Two lines a,x +b,y = c, and a,x +bzy = C2 are equalif either a, = a2, b,= b2, and c, = C2, ora, = kaz, b, = kb,and c, = kc2, andfor some realnumber k .)• Determine if twolines are parallel.• Determine if twolines areperpendicular.• If two lines are notparallel, then printthe point ofintersection. Theintersectionmethod shouldindicate one ofthree options: Theintersection pointin the format: (x,y) . A messageindicating Bothlines are equal. Amessageindicating theLines do notintersect.Add appropriateconstructors toinitialize variables oflineType . Also, writea program to testyour class . 2 class lineTypeInstructions3 {4 public:The equation of a linein standard form is axvoid setline (double a = 0, double b = 0, doublec =e);+ by = c, whereinboth a and b//Function to set the line.78void equation() const;cannot be zero, and9a, b, and c aredouble getXCoefficient() const;10real numbers. If b#0,double getYCoefficient() const;11then -a/b is the slopedouble getconstantTerm() const;1213of the line. If a = 0,14void setXCoefficient (double coeff);then it is a horizontal15void setYCoefficient(double coeff);line, and if b = 0, then16void setConstantTerm(double c);it is a vertical line. The17slope of a vertical linedouble slope() const;18is undefined. Twolines are parallel if19//Return the slope. This function does not checkif the20//line is vartical. Because the slope of athey have the samevertical lineslope or both are//is undefined, before calling this function21vertical lines. Twocheck if thelines are22//line is nonvertial.23perpendicular if24bool verticalline() const;either one of the lines25bool horizontalline() const;is horizontal and the26other is vertical or thebool equallines (lineType otherLine) const;27product of their//Returns true of both lines are the same.2829slopes is -1. Designthe class lineType30bool parallel(lineType otherLine) const;31//Function to determine if this line is parallelto store a line. Toto otherLine.store a line, you need32to store the values of33bool perpendicular(lineType otherLine) const;a (coefficient of x),b (coefficient of y),and c. Your class34//Function to determine if this line isperperdicular to otherLine.3536void pointofIntersection(lineType otherLine);must contain the37//If lines intersect, then this function findsfollowing operations:the point38//of intersection.• If a line is3940lineType (double a = 0, double b = 0, double c = 0);nonvertical, then41//Constructordetermine its42slope.43 private:44double xCoeff;• Determine if twodouble yCoeff;45lines are equal.double constTerm;4647bool hasslope;(Two lines a,x +48 };b,y = c, and azX +49bzy = C2 are equalif either a, = a2, b,= b2, and c, = C2, ora, = kaz, b, = kb2and c, = kc2, andfor some realnumber k .)• Determine if twolines are parallel.• Determine if twolines areperpendicular.• If two lines are not

Actually, c++ is a powerful general purpose language.

The equation of a line in standard form is ax + by = c , wherein both aand b cannot be zero, and a, b, and c are real numbers. If b≠0, then –a/b is the slope of the line. If a = 0, then it is a horizontal line, and if b = 0, then it is a vertical line. The slope of a vertical line is undefined. Two lines are parallel if they have the same slope or both are vertical lines. Two lines are perpendicular if either one of the lines is horizontal and the other is vertical or the product of their slopes is –1. Design the class lineType to store a line. To store a line, you need to store the values of a (coefficient of x), b (coefficient of y), and c. Your class must contain the following operations: If a line is nonvertical, then determine its slope. Determine if two lines are equal. (Two lines a₁x + b₁y = c₁ and a₂x + b₂y = c₂ are equal if either a₁ = a₂, b₁ = b₂, and c₁ = c₂, or a₁ = ka₂, b₁ = kb₂ and c₁ = kc₂, and for some real number k.) Determine if two lines are parallel. Determine if two lines are perpendicular. If two lines are not parallel, then print the point of intersection. The intersection method should indicate one of three options: The intersection point in the format: (x, y) . A message indicating Both lines are equal. A message indicating the Lines do not inters

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

The equation of a line in standard form is ax + by = c , wherein both aand b cannot be zero, and a, b, and c are real numbers. If b≠0, then –a/b is the slope of the line. If a = 0, then it is a horizontal line, and if b = 0, then it is a vertical line. The slope of a vertical line is undefined. Two lines are parallel if they have the same slope or both are vertical lines. Two lines are perpendicular if either one of the lines is horizontal and the other is vertical or the product of their slopes is –1. Design the class lineType to store a line. To store a line, you need to store the values of a (coefficient of x), b (coefficient of y), and c. Your class must contain the following operations:

If a line is nonvertical, then determine its slope.
Determine if two lines are equal. (Two lines a₁x + b₁y = c₁ and a₂x + b₂y = c₂ are equal if either a₁ = a₂, b₁ = b₂, and c₁ = c₂, or a₁ = ka₂, b₁ = kb₂ and c₁ = kc₂, and for some real number k.)
Determine if two lines are parallel.
Determine if two lines are perpendicular.
If two lines are not parallel, then print the point of intersection. The intersection method should indicate one of three options: The intersection point in the format: (x, y) . A message indicating Both lines are equal. A message indicating the Lines do not intersect.

Add appropriate constructors to initialize variables of lineType. Also, write a program to test your class.

to store the values of
a (coefficient of x),
b (coefficient of y),
and c. Your class
must contain the
following operations:
• If a line is
nonvertical, then
determine its
slope.
• Determine if two
lines are equal.
(Two lines a,x +
b,y = c, and a,x +
bzy = C2 are equal
if either a, = a2, b,
= b2, and c, = C2, or
a, = kaz, b, = kb,
and c, = kc2, and
for some real
number k .)
• Determine if two
lines are parallel.
• Determine if two
lines are
perpendicular.
• If two lines are not
parallel, then print
the point of
intersection. The
intersection
method should
indicate one of
three options: The
intersection point
in the format: (x,
y) . A message
indicating Both
lines are equal. A
message
indicating the
Lines do not
intersect.
Add appropriate
constructors to
initialize variables of
lineType . Also, write
a program to test
your class .

2 class lineType
Instructions
3 {
4 public:
The equation of a line
in standard form is ax
void setline (double a = 0, double b = 0, doublec =
e);
+ by = c, wherein
both a and b
//Function to set the line.
7
8
void equation() const;
cannot be zero, and
9
a, b, and c are
double getXCoefficient() const;
10
real numbers. If b#0,
double getYCoefficient() const;
11
then -a/b is the slope
double getconstantTerm() const;
12
13
of the line. If a = 0,
14
void setXCoefficient (double coeff);
then it is a horizontal
15
void setYCoefficient(double coeff);
line, and if b = 0, then
16
void setConstantTerm(double c);
it is a vertical line. The
17
slope of a vertical line
double slope() const;
18
is undefined. Two
lines are parallel if
19
//Return the slope. This function does not check
if the
20
//line is vartical. Because the slope of a
they have the same
vertical line
slope or both are
//is undefined, before calling this function
21
vertical lines. Two
check if the
lines are
22
//line is nonvertial.
23
perpendicular if
24
bool verticalline() const;
either one of the lines
25
bool horizontalline() const;
is horizontal and the
26
other is vertical or the
bool equallines (lineType otherLine) const;
27
product of their
//Returns true of both lines are the same.
28
29
slopes is -1. Design
the class lineType
30
bool parallel(lineType otherLine) const;
31
//Function to determine if this line is parallel
to store a line. To
to otherLine.
store a line, you need
32
to store the values of
33
bool perpendicular(lineType otherLine) const;
a (coefficient of x),
b (coefficient of y),
and c. Your class
34
//Function to determine if this line is
perperdicular to otherLine.
35
36
void pointofIntersection(lineType otherLine);
must contain the
37
//If lines intersect, then this function finds
following operations:
the point
38
//of intersection.
• If a line is
39
40
lineType (double a = 0, double b = 0, double c = 0);
nonvertical, then
41
//Constructor
determine its
42
slope.
43 private:
44
double xCoeff;
• Determine if two
double yCoeff;
45
lines are equal.
double constTerm;
46
47
bool hasslope;
(Two lines a,x +
48 };
b,y = c, and azX +
49
bzy = C2 are equal
if either a, = a2, b,
= b2, and c, = C2, or
a, = kaz, b, = kb2
and c, = kc2, and
for some real
number k .)
• Determine if two
lines are parallel.
• Determine if two
lines are
perpendicular.
• If two lines are not

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