Question The line y = mx +b meets the hyperbola xy = 1 at A and B. Find the locus of the midpoint M of AB if: (a) m is constant.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 26E
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please help with b)

Question 1
The line y = mx +b meets the hyperbola xy = 1 at A and B. Find the locus of the midpoint M of AB if:
(a) m is constant.
(b) b is constant.
Transcribed Image Text:Question 1 The line y = mx +b meets the hyperbola xy = 1 at A and B. Find the locus of the midpoint M of AB if: (a) m is constant. (b) b is constant.
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