Maths C1 - CIRCLES Maths C1 - CIRCLES 2.0 / 5 MathematicsASAll boards Created by: ruairi rossCreated on: 30-11-09 09:29 Equation of a circle (x – a)^{2} + (y – b)^{2} = r^{2} ^{centre (a, b), radius r} 1 of 2 Intersection of a line and a circle 1. Substitute from line into circle equation to eliminate y 2. Solve the quadratic in x 3. Substitute back into line equation to find corresponding y 4. If there is only one solution, line is a tangent If two soltions, line is a chord If no solutions, line & circle don't intersect 2 of 2

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