A variable straight line drawn through the point of intersection of the straight XY=1 and ines + a b Show that the locus of mid point of ABis 2xy (a+b)= ab (x +y). +* = 1 meets the coordinate axes at A and B. a

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
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A variable straight line drawn through the point of intersection of the straight
lines += 1 and
b
= 1 meets the co ordinate axes at A and B.
a
b
a
Show that the locus of mid point of AB is 2xy (a +b)= ab (x +y).
Transcribed Image Text:A variable straight line drawn through the point of intersection of the straight lines += 1 and b = 1 meets the co ordinate axes at A and B. a b a Show that the locus of mid point of AB is 2xy (a +b)= ab (x +y).
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