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Byju's Answer
Standard XII
Mathematics
Equation of Circle with (h,k) as Center
Find the cent...
Question
Find the centre and radius of circle :
2
x
2
+
2
y
2
−
x
=
0
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Solution
The equation of the given circle is
2
x
2
+
2
y
2
−
x
=
0
(
2
x
2
−
x
)
+
2
y
2
=
0
2
[
(
x
2
−
x
2
)
+
y
2
]
=
0
[
x
2
−
2
x
(
1
4
)
+
(
1
4
)
2
]
+
y
2
−
(
1
4
)
2
=
0
(
x
−
1
4
)
2
+
(
y
−
0
)
2
=
(
1
4
)
2
Thus, the centre of the given circle is
(
1
4
,
0
)
while its radius is
1
4
.
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