Find an equation for the set of all points equidistant from the planes y = 3 and y = -1.

djedgaravilafo

djedgaravilafo

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2022-08-17

Find an equation for the set of all points equidistant from the planes y = 3 and y = -1.

Answer & Explanation

Allyson Vance

Allyson Vance

Beginner2022-08-18Added 14 answers

The given two planes
y=3, y=-1
itasks to find an equation for the set of all point. whereas, the distance between this equation and the first plane equal the distance between the same equation and the second plane... (Use the distance formula)
(xx)2+(y(1))2+(zz)2=
(xx)2+(y3)2+(zz)2
square both sides of an equation
0+(y+1)2+0=0+(y3)2+0
solve
(y+1)2=(y3)2
y2+2y+1=y26y+9
8y=8y=1
Result:
y=1

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