perplexus.info :: Just Math : Circle Line Locus

Circle Line Locus (Posted on 2021-07-02)

Let C be a unit circle centered at (2,0)

Let l be any line through the origin and intersecting C at points A₁ and A₂.

The locus P is the set of points on line l with OB=A₁A₂.

Find parametric equations for the locus of P.

See The Solution Submitted by Jer

Rating: 4.0000 (1 votes)

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what the curve looks like

| Comment 1 of 10

No equations but a screen shot from Geometer's Sketchpad is here.

The heavy line is the curve; the point on the left is the origin and the circle on the right is the one mentioned in the puzzle.

Edited on July 2, 2021, 3:13 pm

Posted by Charlie on 2021-07-02 15:11:51

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