In each case, show that the circle passes through the given point: a. (x 2) 2

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In each case, show that the circle passes through the given point:

a. (x − 2)2 + (y − 5)2 = 13, point (4, 8) 

b. (x + 7)2 + (y − 2)2 = 65, point (0, −2)

c. x2 + y2 = 252, point (7, −24) 

d. (x − 2a)2 + (y + 5a)2 = 20a2, point (6a, −3a)

e. (x − 3 √5)2 + (y − √5)2 = (2√10) 2 point, (√5, −√5)

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