What does the pair of equations y = 5, z = 6 represent? In other words, describe the set of points (x, y, z) such that y = 5 and z = 6.

a. A point
b. A line
c. A plan
d. A cricle

Respuesta :

Answer:

Option b.

Step-by-step explanation:

The set of points (x, y, z) such that y = 5 and z = 6.

So, all pairs are in the form of (x,5,6).

where, x can be any real number.

It the set of points (x,y,6), y and z-coordinates are constant.

So, the pair of equations y = 5, z = 6 represents a line parallel to x-axis and the distance of this line from xy-plane is 6 units and from xz plane is 5 units.

Therefore, the correct option is b.

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