Describe the given set with a single equation or with a pair of equations.The se

Lewis Harvey 2021-09-20 Answered
Describe the given set with a single equation or with a pair of equations.The set of points in space equidistant from the origin and the point (0, 2, 0)
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Expert Answer

Asma Vang
Answered 2021-09-21 Author has 93 answers
Step 1
Let the points are given by (x,y,z)
Step 2
Given that (x,y,z) is equidistant from the origin and the point (0, 2, 0).
So we equate both distances and make an equation.
(x0)2+(y0)2+(z0)2=(x0)2+(y2)2+(z0)2
x2+y2+z2=x2+(y2)2+z2
x2+y2+z2=x2+(y2)2+z2 (square both sides)
y2=(y2)2
y=2-y (because y=y-2 is not possible)
2y=2
y=1
Answer: y=1 plane
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