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0, A, B and C are fixed points such that OA = 5p – 3q OB = 11p oć = 13p + q (a) (i) Show that the points A, B and C are collinear. (ii) Write down the ratio AB:BC.

0, A, B and C are fixed points such that OA = 5p – 3q OB = 11p oć = 13p + q (a) (i) Show that the points A, B and C are collinear. (ii) Write down the ratio AB:BC.

Elementary Geometry For College Students, 7e
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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0, A, B and C are fixed points such that OA 5p – 3q ОВ — 11р ОС 3 13р + q (a) (i) Show that the points A, B and C are collinear. (ii) Write down the ratio AB:BC. The midpoint of OA is M and the midpoint of OB is N. (b) Show that the ratio of the area of the quadrilateral ABNM to the area of the triangle OAC is 9:16
Transcribed Image Text:0, A, B and C are fixed points such that OA 5p – 3q ОВ — 11р ОС 3 13р + q (a) (i) Show that the points A, B and C are collinear. (ii) Write down the ratio AB:BC. The midpoint of OA is M and the midpoint of OB is N. (b) Show that the ratio of the area of the quadrilateral ABNM to the area of the triangle OAC is 9:16
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