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.

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.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.1: The Coordinate Plane

Problem 34E: In these exercises we find the area of plane figures. Plot the points P(5,1),Q(0,6) and R(5,1) on a...

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Question

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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.

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