Prove that if P and Q are two distinct points on the rotatedellipse x2 + xy + y2 = 4

Chapter 3, Problem 11

(choose chapter or problem)

Prove that if P and Q are two distinct points on the rotated ellipse \(x^{2}+x y+y^{2}=4\) such that P,Q, and the origin are collinear, then the tangent lines to the ellipse at P and Q are parallel.

Equation Transcription:

Text Transcription:

x^2 +xy+y^2 =4

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