Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The endpoints of a diameter of a sphere are
A
(
−
1
,
2
,
3
)
A(-1,2,3)
A
(
−
1
,
2
,
3
)
and
B
(
5
,
−
4
,
1
)
B(5,-4,1)
B
(
5
,
−
4
,
1
)
. Which one of the following is the correct equation of the sphere? a)
(
x
+
2
)
2
+
(
y
−
1
)
2
+
(
z
+
2
)
2
=
19
(x+2)^2 + (y-1)^2 + (z+2)^2 = 19
(
x
+
2
)
2
+
(
y
−
1
)
2
+
(
z
+
2
)
2
=
19
b)
(
x
−
2
)
2
+
(
y
+
1
)
2
+
(
z
−
2
)
2
=
76
(x-2)^2 + (y+1)^2 + (z-2)^2 = 76
(
x
−
2
)
2
+
(
y
+
1
)
2
+
(
z
−
2
)
2
=
76
c)
(
x
−
2
)
2
+
(
y
+
1
)
2
+
(
z
−
2
)
2
=
19
(x-2)^2 + (y+1)^2 + (z-2)^2 = 19
(
x
−
2
)
2
+
(
y
+
1
)
2
+
(
z
−
2
)
2
=
19
d)
(
x
−
2
)
2
+
(
y
−
1
)
2
+
(
z
−
2
)
2
=
19
(x-2)^2 + (y-1)^2 + (z-2)^2 = 19
(
x
−
2
)
2
+
(
y
−
1
)
2
+
(
z
−
2
)
2
=
19
Browse the problem library