Consider the conic with equation: x² +2√√√3 xy-y² = 2. By finding a suitable rotational transformation of the axes, using Lemma 4.4.1 from the lectures, find the foci of and sketch 6. Your sketch should include the axis intercepts, foci, directrices and asymptotes of C (if any).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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Consider the conic with equation:
x² + 2√√√3 xy - y² = 2.
By finding a suitable rotational transformation of the axes, using Lemma 4.4.1 from the lectures, find the
foci of and sketch 6. Your sketch should include the axis intercepts, foci, directrices and asymptotes
of C (if any).
Transcribed Image Text:Consider the conic with equation: x² + 2√√√3 xy - y² = 2. By finding a suitable rotational transformation of the axes, using Lemma 4.4.1 from the lectures, find the foci of and sketch 6. Your sketch should include the axis intercepts, foci, directrices and asymptotes of C (if any).
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