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Given the circumference x^2 - 2x + y^2 = 3, find the position of the center P and the value of the Radius. Then find the intercepts with the y axis and the tangent to the circumference at the positive y intercept.
Find center and radiusFrom completing the quadratic:
x^2 - 2x + 1 - 1 + y^2 = 3(x-1)^2 + y^2 = 4
hence, center P(1, 0) and radius R = sqrt(4) = 2
Find y intercept
