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Find the equation of the circle (i) passing through the points (4, 1) and (6, 5) and whose centre lies on 4x + y = 16.

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Find the equation of the circle 

(i) passing through the points (4, 1) and (6, 5) and whose centre lies on 4x + y = 16. 

(ii) Passing through the points (2, 3) and (-1, 1) and centre is on the line x – 3y -11 = 0.

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(i) Let the equation of the circle be

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