the line (x/a)+(y/b)=1 moves in such a way that (1/a\power{2})+(1/b\power{2})=(1/c\power{2}) ,where c is a constant,prove that the foot of the perpendicular from the origin on the straight line describes the x\power{2}+y\power
the line (x/a)+(y/b)=1 moves in such a way that (1/a\power{2})+(1/b\power{2})=(1/c\power{2}) ,where c is a constant,prove that the foot of the perpendicular from the origin on the straight line describes the x\power{2}+y\power
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 41E
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If the line (x/a)+(y/b)=1 moves in such a way that (1/a\power{2})+(1/b\power{2})=(1/c\power{2}) ,where c is a constant,prove that the foot of
the perpendicular from the origin on the straight line describes the x\power{2}+y\power{2}=c
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