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Byju's Answer
Standard XIII
Mathematics
Intercept Made by Circle on Axes
The length of...
Question
The length of intercept, made by the circle
x
2
+
y
2
+
10
x
−
6
y
+
9
=
0
on the
x
−
axis is
units
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Solution
Comparing the given equation with
x
2
+
y
2
+
2
g
x
+
2
f
y
+
c
=
0
, we get
g
=
5
,
f
=
−
3
and
c
=
9
.
∴
Length of intercept on
x
-axis
=
2
√
g
2
−
c
=
2
√
(
5
)
2
−
9
=
8
units
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