In visual studio code, code the following prompt:

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Deliverable: problem$2$functions.h and problem$2$functions.cpp

$-$Write a function named Distance that takes four double arguments for the x and y

coordinates of two points $($x$1,$y$1,$x$2,$y$2),$and returns the distance between those points

as a double. If the function is called with the coordinates of one point only, the second

point$$s coordinates should default to the origin $(0,0).$

Recall, the formula to compute the distance, d$,$between two points is:

$=(21)$

$2$

$+(21)$

$2$

Example calls:

$-$Distance$(3,4)$should return $5($the distance between the point $(3,4)$and

the point $(0,0)).$

$-$Write a function named OnCircle that takes the x and y coordinates of the center of a

circle as the first two parameters, the radius of the circle as the third parameter, and the

x and y coordinates of a point as the fourth and fifth parameters $($all doubles$).$The

function should return $-1$if the point lies inside of the circle, $0$if the point lies on the

circle, and $1$if the point lies outside of the circle.

Example calls:

$-$OnCircle$(0,0,5,1,1)$should return $-1$because the point $(1,1)$lies inside

the circle centered at $(0,0)$with radius $5.$

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$-$Write a function named OnLine that takes the x and y coordinates $($all doubles$)$of three

points $($x$1,$y$1,$x$2,$y$2,$x$3,$y$3).$The function should return true if the three points lie on a

straight line, and false if they do not.

Example calls:

$-$OnLine$(0,0,1,3,2,6)$should return true because the three points $(0,0)$

$(1,3)$and $(2,6)$lie on a straight line

$($important$)$:

$-$All three function prototypes should be included in problem$2$functions.h

$-$All three functions should be implemented in problem$2$functions.cpp

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A makefile has been included below,

To run the tests provided, you should type the following:

make testDistance

make testOnCircle

make testOnLine

Makefile:

flags $=-$std$=$c$++17-$Wall $-$I $.$

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problem$2$functions.o : problem$2$functions.cpp problem$2$functions.h

$$g$++$$$($flags$)-$c $$<$

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testDistance : testDistance.cpp problem$2$functions.o

$$g$++$$$($flags$)$$$^-$o $@

$./$$@

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testOnCircle : testOnCircle.cpp problem$2$functions.o

$$g$++$$$($flags$)$$$^-$o $@

$./$$@

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testOnLine : testOnLine.cpp problem$2$functions.o

$$g$++$$$($flags$)$$$^-$o $@

$./$$@