An Envelope of Contact Chords

★ 8/10Pole and Polar Parametrization conic sections analytic geometry

Problem

From each point of the circle $x^2+y^2=4$ , the two tangent lines to the ellipse $C:\dfrac{x^2}2+y^2=1$ are drawn; the segment joining the two points of tangency is called a contact chord. Find the area of the region inside the ellipse $C$ that meets none of these contact chords.

Answer

Solution

Difficulty	8/10
Topics	Pole and Polar, Parametrization, conic sections, analytic geometry

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