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Standard X
Mathematics
Angles in Alternate Segments
Question
In each of the following Exercises
1
to
5
,
find the equation of the circle with
(
0
,
2
)
and radius
2
centre
(
−
2
,
3
)
and
r
a
d
i
u
s
4
c
e
n
t
r
e
(
1
2
,
1
4
)
and
r
a
d
i
u
s
1
12
c
e
n
t
r
e
(
1
,
1
)
and
r
a
d
i
u
s
√
2
A
c
e
n
t
r
e
(
1
,
1
)
and
r
a
d
i
u
s
√
2
B
(
0
,
2
)
and radius
2
C
centre
(
−
2
,
3
)
and
r
a
d
i
u
s
4
D
c
e
n
t
r
e
(
1
2
,
1
4
)
and
r
a
d
i
u
s
1
12
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Solution
Verified by Toppr
The equation of circle with centre
(
a
,
b
)
and radius
r
is
(
x
−
a
)
2
+
(
y
−
b
)
2
=
r
2
A
)
The equation of circle is
(
x
−
0
)
2
+
(
y
−
2
)
2
=
2
2
⟹
x
2
+
y
2
−
4
y
=
0
B
)
The equation of circle is
(
x
+
2
)
2
+
(
y
−
3
)
2
=
4
2
⟹
x
2
+
y
2
+
4
x
−
6
y
+
9
=
0
C
)
The equation of circle is
(
x
−
1
/
2
)
2
+
(
y
−
1
/
4
)
2
=
(
1
/
12
)
2
⟹
x
2
+
y
2
−
x
−
y
2
+
11
36
=
0
D
)
The equation of circle is
(
x
−
1
)
2
+
(
y
−
1
)
2
=
(
√
2
)
2
⟹
x
2
+
y
2
−
2
x
−
2
y
=
0
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