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Find the coordinates of the centre of the circle 3x2 + ...

Find the coordinates of the centre of the circle 3x2 + 3y2 - 6x + 9y - 5 = 0

A.

(-3. 92)

B.

(-1. 32)

C.

(1, - 32)

D.

(3. -92)

Correct answer is C

3x23+3y236x3+9y353 = 0

2gx = -2x, 2 fy = 3y 

g = -1, f = 32

Centre (1, - 32