The area of the region $\{(x, y) : x^2 + y^2 \leq 2ax, y^2 > ax, x \geq 0, y \geq 0\} \text{ where } a > 0$ , is :

The correct option is (A): $(\frac{\pi}{4}-\frac23)a^2 $ Sq.units

$(\frac{\pi}{4}-\frac23)a^2 $ Sq.units

$(\frac{\pi}{4}+\frac23)a^2 $ Sq.units

$(\frac{\pi}{3}+\frac43)a^2 $ Sq.units

$(\frac{\pi}{3}-\frac43)a^2 $ Sq.units

$(\frac{\pi}{4}-\frac23)a^2 $ Sq.units

$(\frac{\pi}{4}+\frac23)a^2 $ Sq.units

$(\frac{\pi}{3}+\frac43)a^2 $ Sq.units

$(\frac{\pi}{3}-\frac43)a^2 $ Sq.units

The area of the region {(x, y) : x2+y2 ≤ 2ax, y2 > ax, x > 0, y ≥ 0} a

List-I (Words)	List-II (Definitions)
(A) Theocracy	(I) One who keeps drugs for sale and puts up prescriptions
(B) Megalomania	(II) One who collects and studies objects or artistic works from the distant past
(C) Apothecary	(III) A government by divine guidance or religious leaders
(D) Antiquarian	(IV) A morbid delusion of one’s power, importance or godliness