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

midtlinjeg

Answered question

2020-12-17

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

Answer & Explanation

au4gsf

au4gsf

Skilled2020-12-18Added 95 answers

Step 1 
The equations provided 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 collection of spatial points whose coordinates match the given sets of equations.x2+(y1)2+z2=4,y=0 is the circle with center origin in xz-plane and its radius is 3.

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-08Added 2605 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?