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Mathematics
Problem
If
P
(
x
1
,
y
1
)
P(x_1,y_1)
P
(
x
1
,
y
1
)
and
Q
(
x
2
,
y
2
)
Q(x_2,y_2)
Q
(
x
2
,
y
2
)
are the endpoints of a diameter of a circle, the coordinates of the centre are a)
(
x
1
−
x
2
2
,
y
1
−
y
2
2
)
\left(\dfrac{x_1-x_2}{2},\,\dfrac{y_1-y_2}{2}\right)
(
2
x
1
−
x
2
,
2
y
1
−
y
2
)
b)
(
x
1
+
x
2
2
,
y
1
+
y
2
2
)
\left(\dfrac{x_1+x_2}{2},\,\dfrac{y_1+y_2}{2}\right)
(
2
x
1
+
x
2
,
2
y
1
+
y
2
)
c)
(
x
1
+
x
2
,
y
1
+
y
2
)
(x_1+x_2,\,y_1+y_2)
(
x
1
+
x
2
,
y
1
+
y
2
)
d)
(
x
1
+
x
2
4
,
y
1
+
y
2
4
)
\left(\dfrac{x_1+x_2}{4},\,\dfrac{y_1+y_2}{4}\right)
(
4
x
1
+
x
2
,
4
y
1
+
y
2
)
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