13. Through the point A(1,5) is drawn a line parallel to the x-axis to meet at B the line PQ whose equation is 3y = 2x - 5. Find the length of AB and the sine of the angle between PQ and AB ; hence show that the length of the perpendicular from A to PQ is 18/13. Caleulate the area of the triangle formed by PQ and the axes. (ans.:9,2/N13,25/12)

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
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(ans.:9,2/N13,25/12)
13. Through the point A(1,5) is drawn a line parallel to the x-axis to meet at B
the line PQ whose equation is 3y = 2x - 5. Find the length of AB and the
sine of the angle between PQ and AB ; hence show that the length of the
perpendicular from A to PQ is 18/13. Caleulate the area of the triangle
formed by PQ and the axes.
(ans.:9,2/N13,25/12)
Transcribed Image Text:(ans.:9,2/N13,25/12) 13. Through the point A(1,5) is drawn a line parallel to the x-axis to meet at B the line PQ whose equation is 3y = 2x - 5. Find the length of AB and the sine of the angle between PQ and AB ; hence show that the length of the perpendicular from A to PQ is 18/13. Caleulate the area of the triangle formed by PQ and the axes. (ans.:9,2/N13,25/12)
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