Determine the centre of the circle .

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

Problem

Determine the centre of the circle (x+32)2+(y−53)2=25(x + \dfrac{3}{2})^2 + (y - \dfrac{5}{3})^2 = 25. (a) (32, −53)\left(\dfrac{3}{2},\, -\dfrac{5}{3}\right) (b) (−32, 53)\left(-\dfrac{3}{2},\, \dfrac{5}{3}\right) (c) (32, 53)\left(\dfrac{3}{2},\, \dfrac{5}{3}\right) (d) (53, −32)\left(\dfrac{5}{3},\, -\dfrac{3}{2}\right)

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