The circle with centre at the origin and radius 5 cuts the negative y-axis at point B. Point A(4, 3) lies on the circle Let M be the midpoint of the chord AB. The line through O and M cuts the circle at the point P, as shown in the diagram.

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
Problem 1CT
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Solve part b.

The circle with centre at the origin and radius 5 cuts the negative y-axis at point B. Point A(4, 3) lies on the circle.
Let M be the midpoint of the chord AB. The line through O and M cuts the circle at the point P, as shown in the
diagram.
a
Find the coordinates of M.
b
Show that the quadrilateral OAPB is not a rhombus.
Transcribed Image Text:The circle with centre at the origin and radius 5 cuts the negative y-axis at point B. Point A(4, 3) lies on the circle. Let M be the midpoint of the chord AB. The line through O and M cuts the circle at the point P, as shown in the diagram. a Find the coordinates of M. b Show that the quadrilateral OAPB is not a rhombus.
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