Competition problem — Geometry — Maths Olympiad Prep

Library / /14 of 520

Geometry Difficulty 4.5 AIME Find the answer

4. The equation of the tangent line passing through the point $\mathrm{P}\left(-\frac{1}{3}, \frac{2 \sqrt{2}}{3}\right)$ on the circle $\mathrm{x}^{2}+\mathrm{y}^{2}=1$ is $\qquad$ ,

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

$4 . x-2 \sqrt{2} y+3=0$

Want a route through all this instead of an archive? The track puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.