The line x + 3y 11 = 0 touches the circle (x + 1) 2 +

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The line x + 3y − 11 = 0 touches the circle (x + 1)2 + (y + 6)2 = r2 at (2, 3).

a. Find the radius of the circle.

b. Show that the radius at (2, 3) is perpendicular to the line.

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