A circle passes through the points P(0, 2), Q(0, 8), and R(9, 11) as shown in the diagram. Not drawn to scale R (9, 11) Q (0,8) P (0, 2) X The perpendicular bisector of the chord QR has equation y = 23-3x Find the coordinates of the centre of the circle.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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A circle passes through the points P(0, 2), Q(0,8), and R(9, 11) as shown in the diagram.
Not drawn to scale
R (9, 11)
Q (0,8)
P (0, 2)
O
X
The perpendicular bisector of the chord QR has equation y = 23-3x
Find the coordinates of the centre of the circle.
Transcribed Image Text:A circle passes through the points P(0, 2), Q(0,8), and R(9, 11) as shown in the diagram. Not drawn to scale R (9, 11) Q (0,8) P (0, 2) O X The perpendicular bisector of the chord QR has equation y = 23-3x Find the coordinates of the centre of the circle.
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