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| Math Central | Quandaries & Queries |
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Question from azman, a student: Find the equation of the tangent line to the circle x^2+y^2=9 at the point P (2, square root of 5). |
Hi Azman,
There are two facts you can use to solve this problem.
- The circle $x^2 + y^2 = 9$ has center $(0,0)$ and radius 3.
- The tangent to the circle at P is perpendicular to the radius from the center of the circle to P.
Write back if you need more assistance,
Penny
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