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What is the coordinate of the centre of the circle \(5x^{2} ...

What is the coordinate of the centre of the circle 5x2+5y215x+25y3=0?

A.

(152,252)

B.

(32,52)

C.

(32,52)

D.

(152,252)

Correct answer is B

Equation for a circle: (xa)2+(yb)2=r2

Expanding, we have:

x22ax+a2+y22by+b2=r2

Given: 5x2+5y215x+25y3=0

Divide through by 5,

=x2+y23x+5y35=0

Comparing, we have

2a=3;a=32

2b=5;b=52