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Coordinate geometry
Paper 1 · Coordinate geometry
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A circle passes through the points
(
0
,
0
)
(0, 0)
(
0
,
0
)
,
(
6
,
0
)
(6, 0)
(
6
,
0
)
and
(
0
,
8
)
(0, 8)
(
0
,
8
)
. The line
y
=
x
y = x
y
=
x
meets the circle at the origin and at one other point
P
P
P
. What is the distance from the origin to
P
P
P
?
A
7
7
7
B
5
2
5\sqrt{2}
5
2
C
7
2
7\sqrt{2}
7
2
D
10
10
10
E
14
2
14\sqrt{2}
14
2
Hint
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