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A variable straight line is drawn through the point of intersectio straight lines x / a+y/b = 1 and x/b+y/ a = 1 and meets the axes at A and B. Show that the locus of the midpoint of AB is t 2xy (a + b) = ab(x + y)

A variable straight line is drawn through the point of intersectio straight lines x / a+y/b = 1 and x/b+y/ a = 1 and meets the axes at A and B. Show that the locus of the midpoint of AB is t 2xy (a + b) = ab(x + y)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A variable straight line is drawn through the point of intersection of the straight lines x / a+y/ b = 1 and x / b + y / a = 1 and meets the coordinate axes at A and B. Show that the locus of the midpoint of AB is the curve 2xy (a + b) = ab(x + y)
Transcribed Image Text:A variable straight line is drawn through the point of intersection of the straight lines x / a+y/ b = 1 and x / b + y / a = 1 and meets the coordinate axes at A and B. Show that the locus of the midpoint of AB is the curve 2xy (a + b) = ab(x + y)
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