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Mathematics
Mathematics
Problem
Identify the standard Cartesian equation of a sphere with centre
(
a
,
b
,
c
)
(a,b,c)
(
a
,
b
,
c
)
and radius
r
r
r
. a)
(
x
+
a
)
2
+
(
y
+
b
)
2
+
(
z
+
c
)
2
=
r
2
(x+a)^2+(y+b)^2+(z+c)^2=r^2
(
x
+
a
)
2
+
(
y
+
b
)
2
+
(
z
+
c
)
2
=
r
2
b)
(
x
−
a
)
2
+
(
y
−
b
)
2
+
(
z
−
c
)
2
=
r
2
(x-a)^2+(y-b)^2+(z-c)^2=r^2
(
x
−
a
)
2
+
(
y
−
b
)
2
+
(
z
−
c
)
2
=
r
2
c)
(
x
−
a
)
2
+
(
y
−
b
)
2
+
(
z
−
c
)
2
=
r
(x-a)^2+(y-b)^2+(z-c)^2=r
(
x
−
a
)
2
+
(
y
−
b
)
2
+
(
z
−
c
)
2
=
r
d)
x
2
+
y
2
+
z
2
=
r
2
x^2+y^2+z^2=r^2
x
2
+
y
2
+
z
2
=
r
2
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