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Byju's Answer
Standard XII
Mathematics
Distance Formula
Equation of a...
Question
Equation of a circle whose centre is origian and radius is equal to the distancebetween the lines x = 1 and x = -1 is
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Solution
Distance between lines
x
=
1
and
x
=
−
1
r
−
2
units
centre ,
0
≡
(
h
,
k
)
≡
(
0
,
0
)
Equation :
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
(
x
−
0
)
2
+
(
y
−
0
)
2
=
2
2
∴
x
2
+
y
2
=
4
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