An Incenter Locus

★ 7/10Parametrization conic sections analytic geometry Triangle Geometry

Problem

Let $P$ move along the ellipse $C \colon \dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} = 1$ (with $a > b > 0$ ) with foci $F_1, F_2$ , and let $I$ be the incenter of $\triangle PF_1F_2$ . Find the equation of the locus of $I$ .

Answer

Solution

Difficulty	7/10
Topics	Parametrization, conic sections, analytic geometry, Triangle Geometry

Whiteboard

Your sketch is saved only in this browser. To share it, export your drawing as an image (whiteboard menu → Export as → PNG), then upload that image in the comments below.

Discussion

Ask questions, share alternate solutions, and use LaTeX freely.

0 comments

No comments yet.