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JEE Main Math Class 11 Coordinate Geometry Part 6 Questions
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© examsnet.com
Question : 18
Total: 33
A square is inscribed in the circle
x
2
+
y
2
−
10
x
−
6
y
+
30
=
0
. One side of this square is parallel to
y
=
x
+
3
. If
(
x
i
,
y
i
)
are the vertices of the square, then
∑
(
x
i
2
+
y
i
2
)
is equal to :
[4 Apr 2024 Shift 1]
148
156
160
152
Validate
Solution:
👈: Video Solution
y
=
x
+
c
&
x
+
y
+
d
=
0
|
5
−
3
+
c
√
2
|
=
√
2
|
8
+
d
√
2
|
=
√
2
|
c
+
2
|
=
2
8
+
d
=
±
2
c
=
0
,
−
4
d
=
−
10
,
−
6
pts
(
5
,
5
)
,
(
3
,
3
)
,
(
7
,
3
)
,
(
5
,
1
)
∑
(
x
i
2
+
y
1
2
)
=
25
+
25
+
9
+
9
+
49
+
9
+
25
+
1
=
152
Option (4)
© examsnet.com
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