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Byju's Answer
Standard XII
Mathematics
Position of a Line with Respect to Circle
If the lines ...
Question
If the lines
3
x
−
4
y
+
4
=
0
and
6
x
−
8
y
−
7
=
0
are tangents to a circle of radius
r
, then the value of
4
r
is
A
3.0
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B
3.00
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C
3
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Solution
Given lines are
3
x
−
4
y
+
4
=
0
and
6
x
−
8
y
−
7
=
0
⇒
3
x
−
4
y
−
7
2
=
0
As both the lines are parallel, so the length of the diameter
d
=
∣
∣
∣
4
−
(
−
7
2
)
∣
∣
∣
5
⇒
2
r
=
3
2
∴
4
r
=
3
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0
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Position of a Line with Respect to Circle
Standard XII Mathematics
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