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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)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: what the curve looks like

| Comment 4 of 10 |

(In reply to what the curve looks like by Charlie)

The curve looks very much like a leminscate. I'd guess that a implicit equation for this curve may be (x^2+y^2)^2 = 8*(x^2-y^2).

Posted by Brian Smith on 2021-07-03 12:44:46

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