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Byju's Answer
Standard XII
Mathematics
Definition of Circle
The equation ...
Question
The equation of director circle to the circle
x
2
+
y
2
=
8
is
A
x
2
+
y
2
=
8
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B
x
2
+
y
2
=
16
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C
x
2
+
y
2
=
4
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D
x
2
+
y
2
=
12
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Solution
The correct option is
B
x
2
+
y
2
=
16
Given
equation of circle is
x
2
+
y
2
=
8
-----
(
1
)
For director circle centers are same but radius of director circle
=
√
2
radius of original circle.
the
r
1
=
√
2
r
r
1
=
√
2
×
2
√
2
=
4
now
equator of director circle is
x
2
+
y
2
=
(
4
)
2
or
x
2
+
y
2
=
16
------
(
2
)
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0
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