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Mathematics
Mathematics
Problem
The endpoints of a diameter of a sphere are
A
(
2
,
−
1
,
4
)
A(2,-1,4)
A
(
2
,
−
1
,
4
)
and
B
(
x
,
3
,
6
)
B(x,3,6)
B
(
x
,
3
,
6
)
. The centre of the sphere lies on the plane
x
+
2
y
−
z
=
3
x+2y-z=3
x
+
2
y
−
z
=
3
. a. (i) Determine the value of
x
x
x
. b. (ii) Hence, write the equation of the sphere.
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