Answer:
It is given that
[tex]x=4+sin(t)....(i)\\y=6+sin(t)....(ii)[/tex]
Subtracting both the above equations we get
[tex]x-y=-2\\\\\therefore x-y+2=0[/tex]
It is equation of a straight line.
The curve is drawn in the attached figure.
c)
The first curve is defined for 'x' ranging from 4 to 5 and 'y' ranging from 6 to 7 while as
The second curve is defined for 'x' ranging from 5 to 4 and 'y' ranging from 7 to 6
Since range and domain of both the curves is same thus they represent the same region.