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Byju's Answer
Standard XII
Mathematics
Number of Common Tangents to Two Circles in Different Conditions
The common ta...
Question
The common tangent to the circles
x
2
+
y
2
=
4
and
x
2
+
y
2
+
6
x
+
8
y
−
24
=
0
also passes through the point:
A
(
−
4
,
6
)
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B
(
6
,
−
2
)
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C
(
−
6
,
4
)
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D
(
4
,
−
2
)
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Solution
The correct option is
B
(
6
,
−
2
)
Circle touches internally
C
1
(
0
,
0
)
:
r
1
=
2
C
2
:
(
−
3
,
−
4
)
;
r
2
=
7
C
1
C
2
=
|
r
1
−
r
2
|
S
1
−
S
2
=
0
⇒
equation of common tangent
6
x
+
8
y
−
20
=
0
3
x
+
4
y
=
10
(
6
,
−
2
)
satisfies the equation.
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