Let f(x, y) = 0 represents a circle, If f(0, a) has roots a = 2, 3 and f(a, 0) has roots \(a = 12, \frac 1 2,\) then the centre of the circle is:
1
\(\left(\frac {-5}2, \frac 1 6\right)\)
2
\(\left(\frac {4}{25}, \frac 2 5\right)\)
3
\(\left(\frac {2}{7}, 6\right)\)
4
\(\left(\frac {25}{4}, \frac 5 2\right)\)