A 2a Figure 1 In Figure 1, OACB is a quadrilateral in which OA (a) Find AB in terms of a and b P is the point on OC such that OP : PC = 1:4 Given that BC = 6a + 5b B 5b 0 = 2a and OB = 5b (b) (i) prove that A, P and B are collinear, (ii) find a value of m and a value of n such that AP: PB = m : n Diagram accurate

Elementary Geometry For College Students, 7e
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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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Diagram
аccurate
B
5b
2a
A
Figure 1
In Figure 1, OACB is a quadrilateral in which OA = 2a and OB = 5b
(a) Find AB in terms of a and b
%3D
P is the point on OC such that OP : PC = 1:4
Given that BC = 6a + 5b
%D
(b) (i) prove that A, P and B are collinear,
(ii) find a value of m and a value of n such that AP : PB = m : n
Transcribed Image Text:Diagram аccurate B 5b 2a A Figure 1 In Figure 1, OACB is a quadrilateral in which OA = 2a and OB = 5b (a) Find AB in terms of a and b %3D P is the point on OC such that OP : PC = 1:4 Given that BC = 6a + 5b %D (b) (i) prove that A, P and B are collinear, (ii) find a value of m and a value of n such that AP : PB = m : n
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