The endpoints of a diameter of a circle are and

MATHEMATICS · Single correct · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane

Problem

The endpoints of a diameter of a circle are P(3,4)P(3,4) and Q(−1,6)Q(-1,6). Which of the following is the equation of the circle? (a) (x−1)2+(y−5)2=20(x-1)^2 + (y-5)^2 = 20 (b) (x−1)2+(y−5)2=5(x-1)^2 + (y-5)^2 = 5 (c) (x+1)2+(y−5)2=5(x+1)^2 + (y-5)^2 = 5 (d) (x−1)2+(y−2)2=5(x-1)^2 + (y-2)^2 = 5

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