Math CentralQuandaries & Queries


Question from crystal, a student:

find the standard form of the circle with center (-2,3) and tangent to the line y=1

Hi Crystal,


The point P is the point on the circle where the tangent lie is y = 1. The line segment CP is perpendicular to the line y = 1. Do you know why?

What is the distance from P to C? This is the radius of the circle.

Can you write the equation of the circle with this radius and centered at (-2, 3)?


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