Consider the curve C parametrized byx = (t^2+1)/(t^2-1) and y = (2t)/(t^2-1) for all t in (−∞, −1 ) ∪ (−1, 1) ∪ (1, ∞) .By squaring both x and y, find an equation of C in terms of just x and y (no t):

Consider the curve C parametrized byx = (t^2+1)/(t^2-1) and y = (2t)/(t^2-1) for all t in (−∞, −1 ) ∪ (−1, 1) ∪ (1, ∞) .By squaring both x and y, find an equation of C in terms of just x and y (no t):

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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Question

Consider the curve C parametrized by
x = (t^2+1)/(t^2-1) and y = (2t)/(t^2-1)

for all t in (−∞, −1 ) ∪ (−1, 1) ∪ (1, ∞) .

By squaring both x and y, find an equation of C in terms of just x and y (no t):

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