Here h =

1

2

, k =

1

4

and r =

1

12

The equation of circle is, (x–h)2+(y–k)2 = r2
∴ (x+

1

2

)2+(y−

1

4

)2 = (

1

12

)2 ⇒ x2+

1

4

−x+y2+

1

16

−

1

2

y =

1

144

⇒ 144x2 + 36 – 144x + 144y2 + 9 – 72y = 1
⇒ 144x2+144y2 – 144x – 72y + 44 = 0
⇒ 4(36x2+36y2 – 36x – 18y + 11) = 0
⇒ 36x2+36y2 – 36x – 18y + 11 = 0