$2x^2 + 2y^2 – x = 0$, find the centre and the radius of the circles.

Question

$\begin {array} {1 1} (A)\;\bigg( -\large\frac{1}{4}, 0\bigg) \: and \: \large\frac{1}{4} & \quad (B)\; \bigg(0, -\large\frac{1}{4}\bigg) \: and \: \large\frac{1}{4} \\ (C)\;\bigg( \large\frac{1}{4}, 0\bigg) \: and \: \large\frac{1}{4} & \quad (D)\;\bigg(0, +\large\frac{1}{4}\bigg) \: and \: \large\frac{1}{4} \end {array}$