Give a geometric description of the set of points in space whose coordinates satisfy the given pairs of equations. x^2 + ( y - 1)^2 + z^2 = 4, y = 0

midtlinjeg 2020-12-17 Answered
Give a geometric description of the set of points in space whose coordinates satisfy the given pairs of equations. x2+(y1)2+z2=4,y=0
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Expert Answer

au4gsf
Answered 2020-12-18 Author has 95 answers
Step 1
The given equations are x2+(y1)2+z2=4 and y=0.
Substitute y=0 in x2+(y1)2+z2=4 and simplify as follows.
x2+(01)2+z2=4
x2+1+z2=4
x2+z2=41
x2+z2=(3)2
Step 2
Geometrical description:
The set of points in space whose coordinates satisfy the given pairs of equations. x2+(y1)2+z2=4,y=0 is the circle with center origin in xz-plane and its radius is 3.
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Jeffrey Jordon
Answered 2021-11-08 Author has 2064 answers

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