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Mathematics
Problem
A square is inscribed in the circle
x
2
+
y
2
−
10
x
−
6
y
+
30
=
0
x^2 + y^2 - 10x - 6y + 30 = 0
x
2
+
y
2
−
10
x
−
6
y
+
30
=
0
. One side of this square is parallel to
y
=
x
+
3
y = x + 3
y
=
x
+
3
. If
(
x
i
,
y
i
)
(x_i, y_i)
(
x
i
,
y
i
)
are the vertices of the square, then
∑
(
x
i
2
+
y
i
2
)
\sum (x_i^2 + y_i^2)
∑
(
x
i
2
+
y
i
2
)
is equal to (a) 160 (b) 152 (c) 156 (d) 148
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