(a) Verify that the point (3, 7) is on the circle x2 y2 2x

Chapter 1, Problem 58

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(a) Verify that the point (3, 7) is on the circle x2 y2 2x 6y 10 0 (b) Find the equation of the line tangent to this circle at the point (3, 7). Hint: A result from elementary geometry says that the tangent to a circle is perpendicular to the radius drawn to the point of contact. 59

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