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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(2): what the curve looks like

| Comment 5 of 9 |

(In reply to re: what the curve looks like by Brian Smith)

The point (2,0) is on the curve so I'd think the coefficient for the RHS should be 4, rather than 8. However, when I plot the implicit function the domain seems closer to (-.7,7) rather than the approximately (-.5,.5) that my GSP plot looks like.

Posted by Charlie on 2021-07-03 19:51:03

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