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AP EAMCET Engineering 18 Sep 2020 Shift 2 Paper
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© examsnet.com
Question : 26
Total: 160
The length of the chord intercepted by the circle
x
2
+
y
2
−
6
x
+
8
y
−
5
=
0
on the line
2
x
−
y
=
5
is equal to_______ units
10
12
7
8
Validate
Solution:
Centre
=
(
3
,
−
4
)
Radius
=
√
9
+
16
+
5
=
√
30
d
=
Perpendicular distance from
(
3
,
−
4
)
to the chord
2
x
−
y
−
5
=
0
d
=
|
2
(
3
)
−
(
−
4
)
−
5
|
√
4
+
1
d
=
|
6
+
4
−
5
|
√
5
d
=
√
5
length of chord
=
2
√
r
2
−
d
2
=
2
√
30
−
5
=
2
×
5
=
10
units
© examsnet.com
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