# Equation of a Circle and the Tangent

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Equation of Tangent to a Circle : C2 Edexcel June 2010 Q10(b)
Example:
The circle C has centre A(2,1) and passes through the point B(10,7)
(a) Find an equation for C.
The line l1 is the tangent to C at point B.
(b) Find an equation for l1.
Tangents : Equation of a tangent to a Circle
Example:
Find the equation of the tangent to the circle
x2 + y2 + 10x + 2y + 13 = 0 at the point (-3,2)

Core 2 - Coordinate Geometry (The Equation of a Circle) - Basic Introduction
Coordinate Geometry - Circle, Tangents : C2 Edexcel January 2011 Q9
Example:
The points A and B have coordinate (-2,11) and (8,11) respectively?
Given that AB is a diameter of circle C.
(a) show that the centre of C has coordinates (3,6).
(b) find an equation for C.
(c) Verify that the point (10,7) lies on C.
(d) Find an equation to the tangent at C at the point (10,7), giving your answer in the form y = mx + c, where m and c are constants.

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