4x² + 2√√3xy + 2y² = 1 ugh what angle should the axes be rotated so that the term xy e the transformed equation. etermine x so that the line passing through the point (3, 4) and angle of135° with the positive direction of the y. ayis

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 56E
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(a)Given the equation
4x² + 2√√3xy + 2y² = 1
Through what angle should the axes be rotated so that the term xy is rem
frome the transformed equation.
(b) Determine x so that the line passing through the point (3, 4) and (x, 5)
make angle of135° with the positive direction of the x-axis.
Transcribed Image Text:(a)Given the equation 4x² + 2√√3xy + 2y² = 1 Through what angle should the axes be rotated so that the term xy is rem frome the transformed equation. (b) Determine x so that the line passing through the point (3, 4) and (x, 5) make angle of135° with the positive direction of the x-axis.
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