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Byju's Answer
Standard XII
Mathematics
Equation of a Sphere : Radius-Centre Form
Find the coor...
Question
Find the coordinates of center of the sphere
x
2
+
y
2
+
z
2
−
3
x
−
2
y
+
2
z
−
15
=
0
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Solution
The equation is of the form
x
2
+
y
2
+
z
2
+
2
g
x
+
2
f
y
+
2
h
z
+
c
=
0
Comparing the above equation we get
2
g
=
−
3
⇒
g
=
−
3
2
2
f
=
−
2
⇒
f
=
−
1
centre:
(
3
2
,
1
,
−
1
)
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0
Similar questions
Q.
If
A
(
−
1
,
4
,
−
3
)
is one end and
B
is other end of diameter of the sphere
x
2
+
y
2
+
z
2
−
3
x
−
2
y
+
2
z
+
15
=
0
, then
B
is
Q.
The radius of circle whose centre touches the line
x
+
2
y
+
2
z
=
15
and sphere
x
2
+
y
2
+
z
2
−
2
y
−
4
z
=
11
is
Q.
Find the centre of the sphere
x
2
+
y
2
+
z
2
+
2
z
−
x
=
0